Quadratic Optimal Control with Disturbance Attenuation for Uncertain Continuous-Time T-S Fuzzy Systems
| Autor: | Jyh-Horng Chou, Wen-Ren Horng, Chun-Hsiung Fang |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Mathematical optimization Quadratic integral Linear matrix inequality 02 engineering and technology Fuzzy control system Optimal control Fuzzy logic Computer Science Applications Theoretical Computer Science symbols.namesake 020901 industrial engineering & automation Computer Science::Systems and Control Control theory Control system 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Electrical and Electronic Engineering Mathematics |
| Zdroj: | IETE Journal of Research. 63:98-108 |
| ISSN: | 0974-780X 0377-2063 |
| DOI: | 10.1080/03772063.2016.1229139 |
| Popis: | In this study, an algebraically computational method is proposed to synthesize non-parallel-distributed-compensation (non-PDC) fuzzy controller such that (1) the prescribed disturbance attenuation level for the uncertain continuous-time Takagi-Sugeno (T-S) fuzzy system can be achieved, and (2) a quadratic integral performance index for nominal T-S fuzzy model-based control system can be minimized. We first derive relaxed linear matrix inequality (LMI) conditions by non-quadratic Lyapunov function and non-PDC fuzzy controller to meet prescribed disturbance attenuation level for the uncertain T-S systems. Then by using LMIs and orthogonal function array, the robust quadratic optimal control with disturbance attenuation for uncertain T-S fuzzy system is transformed into constrained-optimization problem represented by algebraic equations and LMI constraints. For static constrained-optimization problem, the HTGA is employed to search the gains non-PDC controllers. Therefore, the robust optimal controll... |
| Databáze: | OpenAIRE |
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