STABILIZING CONTROL FOR DISCRETE TIME MULTI-INPUT BILINEAR SYSTEMS
Beom-Soo Kim*, Young-Joong Kim*, Myo-Taeg Lim* Byungwhan Kim**
* School of Electrical Engineering, Korea University, Seoul, Korea, 136-701, Email: [soo, kyjoong, mlim]@elec.korea.ac.kr
** Department of Electronic Engineering Sejong University 98 Goonja-Dong, Kwangjin-Ku, Seoul, Korea, 143-747, Email: kbwhan@kunja.sejong.ac.kr
This paper presents two stabilizing control methods for discrete time bilinear systems. One is a stabilizing controller for single input systems, and the other is a generalized stabilizing control method for discrete time multi-input bilinear systems. The proposed control methods guarantee the stability for each closed loop systems with single-input case and multi-input case, respectively. This paper introduces a lemma used to extend the stabilizing control method which is useful to represent any bilinear systems as pure differential(difference) matrix equations. The proposed algorithms are verified by a numerical example.
Keywords: Bilinear Systems, Lyapunov methods, Stabilization methods, Discrete-time systems, Multi-input systems
Session slot T-Th-E07: Nonlinear Discrete Time Systems II/Area code 2c : Non-linear Systems

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