期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 17, 期 2, 页码 265-278出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2008.924315
关键词
Basis-dependent Lyapunov function; H infinity control; nonlinear systems; Takagi-Sugeno (T-S) fuzzy systems; unreliable communication links
资金
- Natural Science and Engineering Research Council of Canada
- National Natural Science Foundation of China [60825303, 60834003]
- 973 Project [2009CB320600]
- Research Fund for the Doctoral Programme of Higher Education of China [20070213084]
- Heilongjiang Outstanding Youth Science Fund [JC200809]
- Postdoctoral Science Foundation of China [200801282]
- Fok Ying Tung Education Foundation [111064]
This paper investigates the problem of H-infinity fuzzy control of nonlinear systems under unreliable communication links. The nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model, and the control strategy takes the form of parallel distributed compensation. The communication links existing between the plant and controller are assumed to be imperfect (that is, data packet dropouts occur intermittently, which appear typically in a network environment), and stochastic variables satisfying the Bernoulli random binary distribution are utilized to model the unreliable communication links. Attention is focused on the design of H-infinity controllers such that the closed-loop system is stochastically stable and preserves a guaranteed H-infinity performance. Two approaches are developed to solve this problem, based on the quadratic Lyapunov function and the basis-dependent Lyapunov function, respectively. Several examples are provided to illustrate the usefulness and applicability of the developed theoretical results.
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