Robust Controllability of T-S Fuzzy-Model-Based Control Systems With Parametric Uncertainties

被引：23

作者：

Chen, Shinn-Horng ^{[1
]}

Ho, Wen-Hsien ^{[2
]}

Chou, Jyh-Horng ^{[3
]}

机构：

[1] Natl Kaohsiung Univ Appl Sci, Dept Mech Engn, Kaohsiung 80778, Taiwan

[2] Kaohsiung Med Univ, Dept Med Informat Management, Kaohsiung 80708, Taiwan

[3] Natl Kaohsiung First Univ Sci & Technol, Inst Syst Informat & Control, Kaohsiung 811, Taiwan

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2009年 / 17卷 / 06期

关键词：

Elemental parameter uncertainties; robust controllability; robust stability; Takagi-Sugeno (T-S) fuzzy model; QUADRATIC-OPTIMAL-CONTROL; STABILITY-ROBUSTNESS; SUPERVISORY CONTROL; TIME-DELAY; DESIGN; STABILIZATION; GAIN;

D O I：

10.1109/TFUZZ.2009.2030670

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The robust controllability problem for the Takagi Sugeno (T-S) fuzzy-model-based control systems is studied in this paper. Under the assumption that the nominal T-S fuzzy-model-based control systems are locally controllable (i.e., each fuzzy rule of the nominal T-S fuzzy-model-based control systems has a full row rank for its controllability matrix), a sufficient condition is proposed to preserve the assumed property when the parameter uncertainties are added into the nominal T-S fuzzy-model-based control systems. The proposed sufficient condition can provide the explicit relationship of the bounds on parameter uncertainties to preserve the assumed property. Besides, a robustly global controllability condition and the related robustly global stabilizability condition of the uncertain T-S fuzzy-model-based control systems are also presented in this paper. A nonlinear mass-spring damper mechanical system with parameter uncertainties is given as an example to illustrate the application of the proposed sufficient conditions.

引用

页码：1324 / 1335

页数：12

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