Proceedings Article10.1109/IFUZZY.2012.6409682
Model reference fuzzy tracking control design for uncertain singularly perturbed nonlinear systems
Kuo-Jung Lin
- 01 Nov 2012
- pp 95-100
2
TL;DR: Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), the model reference fuzzy tracking control design for a class of uncertain singularly perturbed nonlinear (USPN) systems was proposed in this paper.
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Abstract: This paper addresses the model reference fuzzy tracking control design for a class of uncertain singularly perturbed nonlinear (USPN) systems. Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), we solve fuzzy controller gain matrices and some common positive-definite matrices and then two sufficient conditions are derived to stabilize the USPN systems. The allowable perturbation bound e∗ can be determined via some algebra inequalities, such that the proposed model reference fuzzy tracking control design will stabilize the USPN systems for all e∊(0, e∗). A practical nonlinear circuit system is given to illustrate the validity of the proposed scheme.
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Citations
•Journal Article
Stability Bounds of Singularity Perturbed Systems
TL;DR: In this paper, both the e-stability of linear singularly perturbed systems and the robustness of uncertain systems were investigated based on matrix theory and LYA-PUNOV stability theory.
11
Stabilization of uncertain fuzzy time-delay systems via descriptor system approach
Kuo-Jung Lin
- 01 Dec 2013
TL;DR: This paper can solve all the state and output feedback feedback controller gain matrices, and some common positive-definite matrices via the Lyapunov stability theorem and the tool of linear matrix inequalities (LMIs).
2
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TL;DR: The authors represent a nonlinear plant with a Takagi-Sugeno fuzzy model with a model-based fuzzy controller design utilizing the concept of the so-called "parallel distributed compensation" and presents a design methodology for stabilization of a class of nonlinear systems.
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