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Stability Analysis of an Inverted Pendulum on a Cart with the Presence of Restoring and Frictional Forces Disturbance using Observer Based and Full State Feedback H2 Controllers
Version 1
: Received: 13 October 2020 / Approved: 14 October 2020 / Online: 14 October 2020 (16:48:53 CEST)
How to cite:
Jibril, M.; Tadese, M.; Bogale, F. Stability Analysis of an Inverted Pendulum on a Cart with the Presence of Restoring and Frictional Forces Disturbance using Observer Based and Full State Feedback H2 Controllers. Preprints2020, 2020100312 (doi: 10.20944/preprints202010.0312.v1).
Jibril, M.; Tadese, M.; Bogale, F. Stability Analysis of an Inverted Pendulum on a Cart with the Presence of Restoring and Frictional Forces Disturbance using Observer Based and Full State Feedback H2 Controllers. Preprints 2020, 2020100312 (doi: 10.20944/preprints202010.0312.v1).
Cite as:
Jibril, M.; Tadese, M.; Bogale, F. Stability Analysis of an Inverted Pendulum on a Cart with the Presence of Restoring and Frictional Forces Disturbance using Observer Based and Full State Feedback H2 Controllers. Preprints2020, 2020100312 (doi: 10.20944/preprints202010.0312.v1).
Jibril, M.; Tadese, M.; Bogale, F. Stability Analysis of an Inverted Pendulum on a Cart with the Presence of Restoring and Frictional Forces Disturbance using Observer Based and Full State Feedback H2 Controllers. Preprints 2020, 2020100312 (doi: 10.20944/preprints202010.0312.v1).
Abstract
In this paper, the stability control of the inverted pendulum on a cart with a disturbance forces has been done using observer based and full state feedback H2 controllers. The Lagrangian equation has been used to model the system equation of motions and linearized the system to the unstable upward position. Comparison of the system stability has been simulated by comparing the proposed controllers using Matlab/Scripts and a promising results has been analyzed successfully.
Subject Areas
Inverted pendulum on a cart; Observer based controller; Full state feedback H2 controllers
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Mustefa Jibril