Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 21, Issue 4, Pages 655-671Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2012.2226941
Keywords
Dynamic output feedback (DOF) control; induced l(2) performance; scaled small-gain (SSG) theorem; Takagi-Sugeno (T-S) fuzzy systems; time-varying delays
Funding
- National Natural Science Foundation of China [61174126, 61222301, 61174058, 61134001]
- Program for New Century Excellent Talents in University [NCET-09-0063]
- Fundamental Research Funds for the Central Universities [HIT.BRET2.2010011]
- National Key Basic Research Program [2012CB215202]
- 111 Project [B12018]
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This paper focuses on analyzing a new model transformation of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays and applying it to dynamic output feedback (DOF) controller design. A new comparison model is proposed by employing a new approximation for time-varying delay state, and then, a delay partitioning method is used to analyze the scaled small gain of this comparison model. A sufficient condition on discrete-time T-S fuzzy systems with time-varying delays, which guarantees the corresponding closed-loop system to be asymptotically stable and has an induced l(2) disturbance attenuation performance, is derived by employing the scaled small-gain theorem. Then, the solvability condition for the induced l(2) DOF control is also established, by which the DOF controller can be solved as linear matrix inequality optimization problems. Finally, examples are provided to illustrate the effectiveness of the proposed approaches.
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