Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 21, Issue 2, Pages 245-261Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2012.2210555
Keywords
Controller design; output feedback; piecewise Lyapunov functions; robust H-infinity control; Takagi-Sugeno (T-S) fuzzy affine dynamic systems
Funding
- Research Grants Council of the Hong Kong Special Administrative Region of China [CityU/113311]
- National Natural Science Foundation of China [60825303, 61004038]
- National 973 Project of China [2009CB320600]
- Fundamental Research Funds for the Central Universities [HIT.BRETIII.201214]
- State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China
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This paper investigates the problem of robust H-infinity output feedback control for a class of continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems with parametric uncertainties and input constraints. The objective is to design a suitable constrained piecewise affine static output feedback controller, guaranteeing the asymptotic stability of the resulting closed-loop fuzzy control system with a prescribed H-infinity disturbance attenuation level. Based on a smooth piecewise quadratic Lyapunov function combined with S-procedure and some matrix inequality convexification techniques, some new results are developed for static output feedback controller synthesis of the underlying continuous-time T-S fuzzy affine systems. It is shown that the controller gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, three examples are provided to illustrate the effectiveness of the proposed methods.
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