Submitted:
09 October 2025
Posted:
10 October 2025
You are already at the latest version
Abstract
Context of the problem. Artificial Intelligence (AI) has changed the way industries design, build, and enhance control systems. AI uses machine learning and evolutionary algorithms to improve control systems. This technology helps them adapt to critical situations. It also helps them manage noise in input signals and adapt to changing environments. Objectives of the study. Given the large number of scientific papers published in this field, it is necessary to examine and analyze the newest AI techniques applied to control systems, determining recent advances, the advantages of these approaches over traditional methods, and the remaining challenges. Method or Approach to the Study. This paper looks at how AI is used in control systems. It does this by checking existing literature and searching key databases that connect AI and control systems. Main results. The systematic mapping resulted in a detailed review of 184 scientific articles published in the last 15 years. The study showed three key trends: (a) Hybrid control models mix machine learning with traditional methods, (b) Metaheuristic algorithms optimize architectures and parameters, and (c) AI techniques enable adaptive control models. Conclusions or implications. This study highlights current trends and benefits of smart controllers, while also identifying gaps in the literature and proposing future research directions.
Keywords:
1. Introduction
2. Methodology
- a..
- Design of the systematic mapping:
- Defining clear criteria for choosing relevant studies.
- Do thorough search in academic databases.
- Checking the quality of the chosen items.
- Combining the findings to draw conclusions or identify research gaps.
- b..
- Evaluation of the method:
- c..
- Data extraction:
- General Information of the Study: Year of publication, authors, title, source of publication.
- The sections —abstract, introduction, and methodology—were reviewed in detail. The abstract sought an overview of the primary technique or method used, while the introduction clarified the objectives and specific applications of the control system.
- In the Methods section, we outline the specific algorithms and procedures utilized in each study, which streamlined the accurate sorting of the articles into those targeting optimization and control system structure
- From the results and discussion, we extracted information on the performance of each technique and the justification for its application in the study.
- Neural networks
- Evolutionary algorithms
- Machine learning
- Predictive control
- Metaheuristic optimisation
- Fuzzy logic
- Hybrids
- And more.
3. Results and Discussions
3.1. Publication Sources
3.2. Engineering Contributions and Applications in Smart Controllers
3.3. Structures and Techniques in Intelligent Controllers
3.4. Most Reported Computational Tools and Algorithms
- Artificial Neural Networks: 9.77%
- Evolutionary or Optimization Algorithms: 15%
- Fuzzy Logic: 19.46%
- Hybrid Methods: 26.6%
- Iterative Learning Control: 4.1%
- Internal Model Control: 3.1%
- Machine Learning: 1.85%
- Metaheuristic Optimization: 11.4%
- Model Predictive Control: 6.02%
- Others: 2.96%
- A population of possible solutions
- Selection processes to identify suitable individuals
- Crossover to create new solutions
- Mutation to maintain diversity
- Survival to maintain the strongest individuals
- Fuzzy sets: These have degrees of membership.
- Membership functions: They assign degrees of membership to items.
- Fuzzy rules: These guide decisions in an "if-then" style.
- Fuzzy inference: This process combines the rules.
- Defuzzification: Converts fuzzy results into clear values.
- Control systems
- Medical diagnosis
- Image processing
- Decision-making
3.5. Outcome of the Studies
3.5.1. Result of Contributions: Control Models
3.5.1.1. Hybrid Controllers
3.5.1.2. Fuzzy Logic Controllers
3.5.1.3. Predictive Controllers
3.5.1.4. Controllers with Iterative Learning
3.5.1.5. Neural Controllers
3.5.2. Result of Contributions: Optimization of Parameters
3.5.2.1. Artificial Neural Networks
3.5.2.2. Evolutionary Algorithms
3.5.2.3. Metaheuristic Optimization
3.5.2.4. Fuzzy Controllers
3.5.2.5. Hybrid Techniques
3.5.2.6. Predictive Control
3.5.2.7. Other Techniques
3.5.3. Result of Contributions: Adaptability
3.5.3.1. Adaptive PID-Based Controllers
3.5.3.2. Adaptive Controllers Based on Fuzzy Logic (Fuzzy / ANFIS / T-S)
3.5.3.3. Adaptive Controllers Based on Bioinspired / Optimal Optimization
3.5.3.4. Adaptive Controllers Based on Neural Networks
3.5.3.5. Adaptive Control based on Hybrid Techniques
3.5.4. Identification of Gaps and Controversies in the Models
4. Conclusions
Abbreviations
| ANN | Artificial Neural Network |
| ANNC | Artificial Neural Network Controller |
| ANFIS | Adaptive Neuro-Fuzzy Inference System |
| RL-DLNN | Reinforcement Learning - Deep Learning Neural Network |
| FL | Fuzzy Logic |
| FLC | Fuzzy Logic Controller |
| T-S | Takagi–Sugeno Fuzzy Model |
| IT2FLS | Interval Type-2 Fuzzy Logic System |
| FOPID | Fractional Order PID |
| PID | Proportional-Integral-Derivative Controller |
| PI | Proportional-Integral Controller |
| MPC | Model Predictive Control |
| reMPC | Robust Economic Model Predictive Control |
| IMC | Internal Model Control |
| ILC | Iterative Learning Control |
| QILC | Quadratic Iterative Learning Control |
| K-ILC | Kalman-based ILC |
| E-QILC | Estimation-based Quadratic ILC |
| LFL | Learning Feedback Linearization |
| RBFNN | Radial Basis Function Neural Network |
| CNN | Convolutional Neural Network |
| LSTM | Long Short-Term Memory Network |
| PSO | Particle Swarm Optimization |
| GA | Genetic Algorithm |
| DE | Differential Evolution |
| ES | Evolutionary Strategy |
| GP | Genetic Programming |
| MOA | Mayfly Optimization Algorithm |
| HICA | Hybrid Imperialist Competitive Algorithm |
| GWO | Grey Wolf Optimizer |
| BFOA | Bacterial Foraging Optimization Algorithm |
| WOA | Whale Optimization Algorithm |
| ABC | Artificial Bee Colony |
| ACO | Ant Colony Optimization |
| FA | Firefly Algorithm |
| CS | Cuckoo Search |
| HPSGWO | Hybrid PSO-GWO |
| NSGA-II | Non-dominated Sorting Genetic Algorithm II |
| SMC | Sliding Mode Control |
| FSMC | Fuzzy Sliding Mode Control |
| FLMFC | Fuzzy Cerebellar Model with Functional Link Network |
| PMC | Predictive Model Controller |
| RFCMAC | Recurrent Fuzzy CMAC Network |
| NARMA | Nonlinear Auto-Regressive Moving Average model |
| LSE | Least Squares Estimation |
| RLS | Recursive Least Squares |
| LM | Levenberg–Marquardt Algorithm |
| QP | Quadratic Programming |
| SVR | Support Vector Regression |
| SVM | Support Vector Machine |
| DLNN | Deep Learning Neural Network |
| TD3 | Twin Delayed Deep Deterministic Policy Gradient |
| DDPG | Deep Deterministic Policy Gradient |
| SaDE | Self-Adaptive Differential Evolution |
| APSO | Adaptive Particle Swarm Optimization |
| AIGA | Advanced Intelligent Genetic Algorithm |
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| Database | Search results |
| IEEE Xplore | 159 |
| Springer | 29 |
| Elsevier / Science Direct | 243 |
| Digital Library | 3 |
| Google Scholar | 12 |
| AJC | 2 |
| JART | 2 |
| WILEY | 9 |
| JCSUT | 1 |
| JCSSI | 1 |
| MDPI | 4 |
| ID | Year | Control structures | Set strategies | Algorithms | Ref. |
|---|---|---|---|---|---|
| 1 | 2014 | Neural Model and Controller, ANN | Supervised and unsupervised | Kohonen and the Gradient Descent Method | [45] |
| 2 | 2016 | Internal mode control PID, IMC-PID | Set-point Change Test y FOPDT | Least squares method. | [25] |
| 3 | 2015 | Fuzzy Logic Controller, FLC | Linear square diffuse base regulator (FLC-LQR) | FLC Tagaki-Sugeno Incremental State Model (T-S) | [33] |
| 4 | 2016 | PID, FLC, PID–FLC, Control with Thresholds | PID incremental, FLC Mandami | Fuzzy logic | [36] |
| 5 | 2018 | Model-Based Predictive Control, MPC | Predictive Control | Predictive algorithm | [54] |
| 6 | 2016 | Predictive control based on a robust economic model, REMPC | Predictive control using stochastic information | Predictive algorithm | [34] |
| 7 | 2014 | Optimal ILC based on standards, Norm-optimal ILC | Quadratic ILC, Estimation-based QILC, Kalman-based ILC | Optimal iterative learning | [24] |
| 8 | 2015 | PI | Identification of type grey box and black box | Parametric and Structural Evolutionary Algorithms | [26] |
| 9 | 2006 | Widespread IP | IL and ANN | LMI and RBFNN | [35] |
| 10 | 2017 | Red neuronal feedforward | ANN | GE Grammatical Evolution and Genetic Algorithm | [50] |
| 11 | 2018 | Fuzzy Wave Neural Networks, VS-FWNN | ANN | Gradient descent with adaptive rates | [67] |
| 12 | 2002 | Programmed Gain Control and Fuzzy PI | FL | MOGA | [77] |
| 13 | 2017 | PID and PI Cascading | Cascade control | GA | [57] |
| 14 | 2001 | H infinity | Designing a specified structured | GA | [30] |
| 15 | 2004 | H2 | Feedback control of states and outputs, and control with a fixed structure | Sequential Linear Programming Matrix Method, SLPMM | [15] |
| 16 | 2018 | MLC, NN | CNN | RBF | [89] |
| 17 | 2016 | Predictive ILC, PILC | IL | Quadratic Cost Function | [39] |
| 18 | 2018 | Point-to-Point Iterative Learning of Predictive Control, PTP ILMPC | IL and MPC | Iterative Learning Observer, ILO, and Quadratic Programming, QP | [40] |
| 19 | 2011 | Iterative PID Learning Control | PID - ILC | ILC | [21] |
| 20 | 2014 | Robust ILC | Feedback + ILC | ILC | [73] |
| 21 | 2017 | MPC | MPC | SCESO y QP | [38] |
| 22 | 2015 | NFSS-MPC | Predictive Control | Gradient descent with backpropagation | [79] |
| 23 | 2018 | MPC | INNEM (Neural Inverse Model) |
RBFNN | [82] |
| 24 | 2018 | DNN | LSTM, ANN, and LSTMSNN | NNB | [85] |
| 25 | 2018 | RMPC | MPC - ANN | NNF y MEM | [5] |
| 26 | 2008 | RFCMAC | CMAC | SVR - PSO | [80] |
| 27 | 2016 | Diffuse PID | PID with fuzzy logic with Mamdani structure | Euler-Lagrange y FL | [87] |
| 28 | 2015 | VOFFLC | Fuzzy variable-order fractional PID with Mamdani structure | Nelder–Mead | [88] |
| 29 | 2004 | PD-ELC | PD | ELC | [9] |
| 30 | 2008 | FC7, ANFIS, ANN | FC7, ANFIS with Sugeno structure, ANN | FL, Gradient Down and Least Squares, backpropagation | [91] |
| 31 | 2018 | ANN | PI - ANN | Levenberg-Marquardt | [96] |
| 32 | 2016 | ANN | NARMA and PI | LFL | [28] |
| 33 | 2014 | IT2F-PID | PID, IT2-FLS | Karnik–Mendel (KM) and the average of the extremes | [11] |
| 34 | 2018 | FPID y FO-FPID | FOPID and Fuzzy Logic | PSO and DE | [83] |
| 35 | 2019 | Deadbeat Fuzzy Logic Controller | Fuzzy logic | Fuzzy logic | [42] |
| 36 | 2017 | FLMFC | FLC | PI Learning Algorithm | [8] |
| 37 | 2019 | Fuzzy-based sliding mode (FSMC) | SMC | Hybrid Imperialist Competitive Algorithm (HICA) | [10] |
| 38 | 2019 | FNNC | FLC and ANNC | Multi-Objective Particle Swarm Optimization (MOPSO) | [41] |
| 39 | 2019 | Self-constructing fuzzy neural network controller (SCFNN) | FLC and ANNC | Adaptive Learning Rate (ALR) and Lyapunov Stability. | [46] |
| 40 | 2017 | Fuzzy logic smart controller (FLSC) | FLC and MIMO | Fuzzy logic | [63] |
| 41 | 2016 | Predictive Fuzzy Controller | FLC and ANNC | MLP, ART-2, and PNN | [14] |
| 42 | 2019 | FLC-MPPT | FLC | Fuzzy Logic Mamdani | [43] |
| 43 | 2017 | T2FNS (Type-2 Fuzzy Neural System) | FLC and ANNC | Gradient Descent | [47] |
| 44 | 2017 | scaling factor-based fuzzy logic controller (SF-FLC) | FLC | Algorithm QOHS (Quasi-Oppositional Harmony Search) | [12] |
| 45 | 2014 | ANFIS (Adaptive Neuro-Fuzzy Inference System) | FLC and Adaptive ANNC | Least Squares Estimation (LSE) and Backpropagation | [44] |
| 46 | 2014 | FLC | FLC | Fuzzy logic, like Mamdani | [17] |
| 47 | 2015 | Online ANFIS supervised by Fuzzy PID | PID, FLC, and Adaptive ANNC | Fuzzy ART, Backpropagation, and Recursive Least Squares (RLS) | [16] |
| 48 | 2017 | Type-2 Fuzzy PID Interval Controller IT2FPIDC | FL and PID Cascading | Cuckoo Search (CS) | [97] |
| 49 | 2011 | FLC | Fuzzy logic | Fuzzy logic, like Mamdani | [105] |
| 50 | 2017 | Neuro–Fuzzy (NFC) | FL and NN | Fuzzy logic and adaptive learning | [20] |
| 51 | 2017 | NNC Neural Network Controller | NNC | Levenberg–Marquardt (LM) | [106] |
| 52 | 2017 | Fuzzy Logic Controller, FLC | Fuzzy logic | Fuzzy logic | [107] |
| 53 | 2015 | Hybrid diffuse-diffuse controller, HFFC | Fuzzy logic | Fuzzy logic | [22] |
| 54 | 2013 | Fuzzy Logic Controller, FLC | Fuzzy logic | Adaptive algorithm | [92] |
| 55 | 2017 | Controller Fuzzy-PID | FL y PID | Enhanced Gravitational Search (GSA-CW) | [86] |
| 56 | 2013 | Fuzzy Self-organizing with gray prediction, GPSOFC | Fuzzy logic | Grey Model (GM) | [94] |
| 57 | 2013 | Fuzzy with Linear Interpolation, LI-D-FC | Fuzzy logic | Fuzzy logic | [112] |
| 58 | 2018 | Fuzzy Logic Controller, FLC | Fuzzy logic | Fuzzy logic, like Mamdani | [113] |
| 59 | 2015 | Predictive-based neural networks, NNPC + Fuzzy P Controller | NN and FL | Levenberg–Marquardt (LM) and fuzzy logic Takagi–Sugeno type P | [116] |
| 60 | 2019 | Fuzzy Logic Controller, FLC | Fuzzy logic | Fuzzy Mamdani-like logic based on a new β (beta) parameter | [121] |
| 61 | 2017 | Range-2 Fuzzy PID (IT2FPID) | PID and Fuzzy Logic | Genetic Algorithms | [100] |
| 62 | 2024 | ANN-PMC | ANN | Levenberg-Marquardt Activation Function (LMAF) and interaction adaptive | [159] |
| 63 | 2023 | 2-level FNN fuzzy neural network controller | Fuzzy logic and neural networks | Improved GA | [171] |
| 64 | 2021 | Neuro-Diffuse Adaptive Inference System, ANFIS | Fuzzy logic and ANN | Mayfly optimization algorithm, MOA | [205] |
| 65 | 2025 | Deep neural network reinforcement learning, RL-DLNN | TD3 Agent | Deep Learning Neural Network, DLNN | [216] |
| ID | Year | Control structures | Optimization Techniques |
Algorithms | Ref. |
|---|---|---|---|---|---|
| 1 | 2005 | Fuzzy Controller | FLC Mamdani | Genetic Algorithm | [51] |
| 2 | 2017 | PID | GA Online Learning | Genetic Algorithm | [13] |
| 3 | 2013 | PID | Discrete FRIT method | Neuronal Network | [48] |
| 4 | 2008 | PID | PSO-tuned PID controller | PSO | [62] |
| 5 | 2018 | PID | FLC | Adaptive Fit | [74] |
| 6 | 2006 | Hydra Control Structure | Geno Hydra Hybrid | Genetic algorithm | [52] |
| 7 | 2015 | PID | PID using a gravitational search algorithm | Gravitational search algorithm | [59] |
| 8 | 2018 | Neural Networks | Control with advancing neural networks | Feedback Laws | [49] |
| 9 | 2016 | Fuzzy Controller | Adjustment of dynamic parameter | Adaptive bee colony algorithm | [75] |
| 10 | 2016 | PID | Optimized PID with PSO | Objective Function | [55] |
| 11 | 2018 | PID | Optimized PID with APFC | EO | [72] |
| 12 | 2009 | PID | PID with GA base rules | GA | [56] |
| 13 | 2012 | MOEA | MOEA-CCG | CCG | [78] |
| 14 | 2014 | FOPID | GA | [58] | |
| 15 | 2005 | NMPC | Numerical Methods SVM | SVM | [19] |
| 16 | 2013 | F-PID | F-PID | Fuzzy Predictor | [66] |
| 17 | 2008 | Approximate Model | Numerical Method | SVM | [7] |
| 18 | 2015 | PID-based structures | Optimized Classic Control | Evolutionary Algorithm | [81] |
| 19 | 2013 | SEA Method | Numerical method | Taxi-Cab | [29] |
| 20 | 2019 | Sliding Mode with Switching Surface (FSMC)-based control | PSO-GSA Optimization | PSO-GSA | [84] |
| 21 | 2014 | Fuzzy logic controller. | Search Algorithm Optimization | Cuckoo Search Algorithm | [68] |
| 22 | 2016 | Fuzzy Logic Controller. | Vehicle-to-Grid (V2G) | Membership Features and Fuzzy Rules | [69] |
| 23 | 2017 | MTEJ Controller | Fuzzily Tuning with an Additional Integrator | Fuzzy Coefficient Adjustment | [70] |
| 24 | 2013 | Fuzzy Logic Controller | Optimization by an Evolutionary Algorithm | Adjustment Approach Based on Evolutionary Algorithms | [53] |
| 25 | 2017 | PID | Tuned by Neural Networks | Neuronal Network | [60] |
| 26 | 2018 | PID Controller | Fuzzy logic | Improved Grey Wolf Optimization Algorithm | [71] |
| 27 | 2012 | PID Controller | Fuzzy logic | PSO Algorithm | [99] |
| 28 | 2018 | PID and Fuzzy Logic | Hybrid Algorithm | Hybrid optimization algorithm | [98] |
| 29 | 2016 | Fuzzy Logic Controller | Evolutionary Algorithm | Differential evolution | [93] |
| 30 | 2015 | Fuzzy Logic Controller | Optimized by the Search Algorithm | PSO Algorithm | [64] |
| 31 | 2019 | Automatic Generation Control with Fuzzy Logic | Hybrid Algorithm | GWO-SCA hyper algorithm | [95] |
| 32 | 2016 | Fuzzy Logic Controllers | Fuzzy Rule Tuning | Genetic Algorithms | [61] |
| 33 | 2018 | Fuzzy Takagi Sugeno Control | Distributed Parallel Compensation Technique | Particle Swarm Optimization (PSO) | [65] |
| 34 | 2016 | PID Controller | Fuzzy logic | Fireflies Algorithm | [23] |
| 35 | 2019 | PID | ACS (Automatic control systems) | MT (Tunable model) | [160] |
| 36 | 2024 | PID | AVR | ARO (Artificial Rabbit Optimization) | [161] |
| 37 | 2024 | NN, NN-PIDD, ELNN-PID | NN, PID | COOA (Coot Optimization Algorithm) | [162] |
| 38 | 2025 | PI | FPI (Feedback PI) | GA | [163] |
| 39 | 2024 | Fuzzy Controller | Fuzzy logic | GA | [164] |
| 40 | 2021 | Controller Fuzzy type 1 | Fuzzy logic | GWO (Grey Wolf Optimization) | [165] |
| 41 | 2025 | FL-SMC (Fuzzy logic sliding mode controller) | Fuzzy logic | hGWO-CS | [166] |
| 42 | 2022 | TOSMC (Third order sliding mode control) | IFOC (indirect field-orientated control) | GWO (Grey Wolf Optimizer) | [167] |
| 43 | 2024 | PID | PID | PSO, I-GWO, and NOA (Nutcracker optimization algorithm) | [168] |
| 44 | 2020 | Fuzzy Logic | Takagi-Sugeno | AIGA (Advanced Intelligent Genetic Algorithms) | [169] |
| 45 | 2023 | PID | AVR | ZOA (Zebra Optimization Algorithm) - OOA (Osprey Optimization Algorithm) | [170] |
| 46 | 2020 | Fuzzy - PD | PID | ABC (Artificial Bee Colony) | [172] |
| 47 | 2019 | FPID (Fuzzy PID) | FPID (Fuzzy PID) | IACO (Improved Ant Colony Optimization) | [173] |
| 48 | 2021 | PID | PID | Deep Reinforcement Learning | [174] |
| 49 | 2024 | FOPID | PID | ACO (Ant Colony Optimization) | [175] |
| 50 | 2022 | PSMC (Predictive Sliding Mode Control) | PSMC (Predictive Sliding Mode Control) | GWO (Grey Wolf Optimization) | [176] |
| 51 | 2023 | Fuzzy PID | PID | A-WOA (Advanced whale optimization algorithm | [177] |
| 52 | 2022 | PID | PID Cascaded | CIO (Cohort intelligence optimization) | [178] |
| 53 | 2020 | PID | AGC | MDE (Modified Differential Evolution) | [179] |
| 54 | 2022 | FOPID (Fuzzy fraction order PID) | OPID | ACO (Ant Colony Optimization) | [180] |
| 55 | 2021 | PID | PID | PSO (Particle Swarm Optimization) | [181] |
| 56 | 2021 | LFC (Load Frequency Control) - PI | PI | FAO (Firefly Algorithm Optimized) | [182] |
| 57 | 2020 | PID | fuzzy PID | GA | [183] |
| 58 | 2020 | PID | AVR | GSA (Gravitational Search Algorithm) | [184] |
| 59 | 2023 | PID | PID | DEA (Differential evolution algorithm) | [185] |
| 60 | 2023 | PID | PID | BFOA (Bacterial foraging optimization algorithm) | [186] |
| 61 | 2022 | PI | PI | PSO, GA, ABC | [187] |
| 62 | 2024 | PID | PID | RL (Reinforcement Learning) | [188] |
| 63 | 2022 | PID | PID | BFOA (Bacterial foraging optimization algorithm) | [189] |
| 64 | 2023 | Fuzzy PID | FPID | SIA (Swarm intelligence algorithm) | [190] |
| 65 | 2022 | PID | PID | Fuzzy, ANN, GA | [191] |
| 66 | 2023 | LFC (Load Frequency Control) | LFC | ANFIS | [192] |
| 67 | 2020 | PID | PID - MPPT | CGSA (Chaotic gravitational search algorithm) | [193] |
| 68 | 2022 | PID | PID | NN (Neural Networks) | [194] |
| 69 | 2020 | FFOPI (Fuzzy Fractional Order PI) | AGC | SOS (Symbiotic Organism search) | [195] |
| 70 | 2021 | PID | PID | FOFMO (Fractional Order Fish Migration Optimization Algorithm) | [196] |
| 71 | 2020 | FPI | PI | GOA (Grasshopper optimization algorithm) | [197] |
| 72 | 2020 | PID | AVR | LGA (Lion group genetic algorithm) | [198] |
| 73 | 2020 | FOPID | AVR | HPSGWO (hybrid particle swarm and grey wolf optimization) | [199] |
| 74 | 2024 | PID | PID | ICDBO (Improved Chebyshev Dung Beetle Optimizer) | [200] |
| 75 | 2023 | PI | PI | PSO (Particle Swarm Optimization) | [201] |
| 76 | 2022 | PID | PID | SOA (Seagull optimization algorithm) | [202] |
| 77 | 2020 | PI | PI | BFOA (Bacterial foraging optimization algorithm) | [203] |
| 78 | 2022 | PID | PID | MPA (Marine Predator Algorithm) | [204] |
| 79 | 2021 | P-PI | P-PI | SSA (Slap swarm algorithm) | [205] |
| 80 | 2022 | PI | PI | NSGA-II (Multi-Objective Evolutionary Optimization Algorithm) | [206] |
| 81 | 2021 | PI | PI | GA, SA, RL, TD3 (Twin Delayed Deep Deterministic Policy gradient algorithm) | [207] |
| 82 | 2023 | PID | PID | HAOAGTO (Arithmetic optimization algorithm and Artificial gorilla troop's optimization) | [208] |
| 83 | 2023 | FOPID | PID | NewBAT, CS (Cuckoo Search), FF (Firefly), GWO (Grey Wolf optimizer), WOA (Whale optimization algorithm) | [217] |
| 84 | 2021 | PID | PID | ABC, ACO, ALO, BA, BHO, CLONALG, CS, CSO, DA, DE, FFA, GA, GBS, GOA, HS, KH, MFO, PSO, SCA, SFL, WOA | [218] |
| ID | Year | Control structures |
Control Techniques | Algorithms | Ref. |
|---|---|---|---|---|---|
| 1 | 2016 | Neural networks | Multi-Model Adaptive Control (MMAC) | External online learning without initial training (ITFOELM) | [109] |
| 2 | 2018 | PID | PSO-tuned PID controller | PSO | [110] |
| 3 | 2014 | PID | FLC | Adaptive Fit | [111] |
| 4 | 2013 | Fuzzy logic based on back-stepping | Control based on an adaptive fuzzy tracking algorithm | Adaptive algorithm | [32] |
| 5 | 2005 | Multilayer Neural Networks with variable structure | Adaptive control with neural networks | Adaptive algorithm | [37] |
| 6 | 2018 | Neural networks | Control with an adaptive neural network | Adaptive algorithm applied to the Lyapunov barrier function | [114] |
| 7 | 2004 | PID | Estimating Profit Using a Reference System | Adaptive algorithm | [115] |
| 8 | 2016 | Neural networks | Robust Adaptive Control | Adaptive algorithm | [27] |
| 9 | 2018 | Neural networks | Radial Basis Function | Adaptive algorithm | [101] |
| 10 | 2010 | Neural networks | Fuzzy Neural Networks | Adaptive algorithm | [117] |
| 11 | 2017 | PID | GA adjusted PID | GA | [118] |
| 12 | 2007 | FLC | FLC-AAC | AAC | [102] |
| 13 | 2017 | MPC | Tuned MPC with adaptive algorithm | Adaptive Algorithm | [125] |
| 14 | 2017 | PID-Fuzzy | Adaptive fuzzy PID | PFC | [126] |
| 15 | 2017 | MPC | MPC-ANN | ANN | [127] |
| 16 | 2016 | FLC | Control by FLC-ANN | ANN | [90] |
| 17 | 2018 | RBF-NN | Control with hybrid functions | ILAP, SMC | [103] |
| 18 | 2014 | Hybrid Structure | Least Squares Optimization and Propagation Algorithm Back | ANFIS | [76] |
| 19 | 2016 | PID | PID | OENN-OEANFIS | [104] |
| 20 | 2016 | Hybrid, combining adaptive control with fuzzy logic | Adaptive Algorithm | fuzzy logic | [128] |
| 21 | 2017 | Adaptive Fuzzy Slider Mode Controller (AFSMC) | Adaptive Law | Lyapunov stability | [119] |
| 22 | 2019 | Adaptive Fuzzy Logic Controller (FADE) | Adaptive Law | Differential Evolution Algorithm (DEA) | [120] |
| 23 | 2014 | Adaptive Fuzzy Controller | Adaptive Adjustment of Fuzzy Rules | Fuzzy rules | [6] |
| 24 | 2017 | ANFIS (Adaptive Neuro-Fuzzy Inference System). HBCC (Hysteresis Band Current Control). | Adaptive Adjustment | ANFIS (Adaptive Neuro-Fuzzy Inference System) | [18] |
| 25 | 2018 | PID Controller | Fuzzy Logic Parameter Adjustment | Fuzzy Logic and PID Tuning | [122] |
| 26 | 2018 | Fuzzy logic | Adaptation Mechanism | Adaptive Algorithm | [123] |
| 27 | 2017 | Fuzzy Logic Controller | Adaptation Law | Kalman Algorithm | [124] |
| 28 | 2014 | PI Controller | Fuzzy logic | Fuzzy Rules | [31] |
| 29 | 2018 | (ANFIS) | Adaptive Law | Genetic Algorithms | [108] |
| 30 | 2023 | Fuzzy PID | PI | ACA (Ant Colony Algorithm) | [210] |
| 31 | 2021 | PI | PI | AIEM-DDPG (Ambient Intelligence Exploration Multidelay Deep Deterministic Policy Gradient) | [211] |
| 32 | 2024 | PID | ADAPTIVE PID | Deep Reinforcement Learning | [212] |
| 33 | 2020 | LQR | LQR | ACS (Adaptive cuckoo search algorithm) | [213] |
| 34 | 2022 | Reinforcement Learning (RL) and Deep Neural Networks (DNN) | RL - DNN | Improved Twin Delayed Deep Deterministic Policy Gradient (TD3) | [214] |
| 35 | 2020 | PID | PID | SADE (Self-adaptive differential evolution) | [215] |
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