Ku, C.-C.; Sun, C.-C.; Jian, S.-H.; Chang, W.-J. Passive Fuzzy Controller Design for the Parameter-Dependent Polynomial Fuzzy Model. Mathematics2023, 11, 2482.
Ku, C.-C.; Sun, C.-C.; Jian, S.-H.; Chang, W.-J. Passive Fuzzy Controller Design for the Parameter-Dependent Polynomial Fuzzy Model. Mathematics 2023, 11, 2482.
Ku, C.-C.; Sun, C.-C.; Jian, S.-H.; Chang, W.-J. Passive Fuzzy Controller Design for the Parameter-Dependent Polynomial Fuzzy Model. Mathematics2023, 11, 2482.
Ku, C.-C.; Sun, C.-C.; Jian, S.-H.; Chang, W.-J. Passive Fuzzy Controller Design for the Parameter-Dependent Polynomial Fuzzy Model. Mathematics 2023, 11, 2482.
Abstract
This paper discusses a passive control issue for Nonlinear Time-Varying (NTV) systems subject to stability and attenuation performance. Based on the modeling approaches of Takagi-Sugeno (T-S) fuzzy model and the Linear Parameter-Varying (LPV) model, a Parameter-Dependent Polynomial Fuzzy (PDPF) model is constructed to represent the NTV systems. According to Parallel Distributed Compensation (PDC) concept, a parameter-dependent polynomial fuzzy controller is built to achieve robust stability and passivity of PDPF model. Furthermore, the passive theory is applied to achieve the performance constraining the disturbance effect on the PDPF systems. To develop the stability criteria, by introducing a parameter-dependent polynomial Lyapunov function, one can derive some stability conditions which belong to the term of Sum-Of-Squares (SOS) form. Based on the Lyapunov function, two stability criteria are proposed to design the corresponding PDPF controller such that the NTV system is robustly stable and passive. Finally, a numerical example is applied to demonstrate the effectiveness of the proposed stability criterion.
Copyright:
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