期刊
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
卷 40, 期 6, 页码 1447-1459出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2009.2039642
关键词
Cone complementarity linearization (CCL); H-infinity control; linear matrix inequality (LMI); nonlinear discrete-time systems; separation property; state observer
类别
资金
- National 973 Program of China [2009CB320604]
- National Natural Science of China [60821063, 60534010, 60674021, 60804024, 60974043, 60904010]
- 111 Project [B08015]
- Ministry of Education, China [20060145019]
- Singapore A-Star [052 101 0036]
- Special Funds to Finance Operating Expenses for Basic Scientific Research of Central Colleges [N090404016]
This paper considers the output feedback control problem for nonlinear discrete-time systems, which are represented by a type of fuzzy systems with local nonlinear models. By using the estimations of the states and nonlinear functions in local models, sufficient conditions for designing observer-based controllers are given for discrete-time nonlinear systems. First, a separation property, i.e., the controller and the observer can be independently designed, is proved for the class of fuzzy systems. Second, a two-step procedure with cone complementarity linearization algorithms is also developed for solving the H-infinity dynamic output feedback (DOF) control problem. Moreover, for the case where the nonlinear functions in local submodels are measurable, a convex condition for designing H-infinity controllers is given by a new DOF control scheme. In contrast to the existing methods, the new methods can design output feedback controllers with fewer fuzzy rules as well as less computational burden, which is helpful for controller designs and implementations. Lastly, numerical examples are given to illustrate the effectiveness of the proposed methods.
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