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GLOBAL H∞ CONTROLLER DESIGN FOR DISCRETE-TIME BILINEAR SYSTEMS WITH UNDAMPERED NATURAL RESPONSE
Guoping Lu* Daniel W. C. Ho**
* Department of Automation, Nantong Institute of Technology,
Jiangsu, 226007, China
** Department of Mathematics, City University of Hong Kong,
83, Tat Chee Ave., Hong Kong
In this paper the problem of H∞-control design is presented for a class of discrete-time single-input multi-output bilinear systems with undampered natural response. The sufficient conditions for the existence of the global H∞-controllers are obtained via homogeneous-like state feedback and dynamic output feedback, respectively. The technique used in this paper is based on the concept of dissipation inequality, LaSalle invariant principle and linear matrix inequality in discrete time.
Keywords: H∞ control, bilinear system, discrete-time, linear matrix inequality, LaSalle invariant rinciple
Session slot T-Th-E07: Nonlinear Discrete Time Systems II/Area code 2c : Non-linear Systems
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