Delay-dependent guaranteed cost control for uncertain 2-D discrete systems with state delay in the FM second model |
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| Authors: | Jianming Xu Li Yu |
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| Institution: | College of Information Engineering, Zhejiang University of Technology, Hangzhou 310014, PR China |
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| Abstract: | This paper is concerned with the problem of delay-dependent guaranteed cost control for uncertain two-dimensional (2-D) state delay systems described by the Fornasini and Marchesini (FM) second state-space model. Given a scalar α∈(0,1), a sufficient condition for the existence of delay-dependent guaranteed cost controllers is given in terms of a linear matrix inequality (LMI) based on a summation inequality for 2-D discrete systems. A convex optimization problem is proposed to design a state feedback controller stabilizing the 2-D state delay system as well as achieving the least guaranteed cost for the resulting closed-loop system. Finally, the simulation example of thermal processes is given to illustrate the effectiveness of the proposed result. |
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| Keywords: | 2-D discrete systems State delay Delay-dependent Guaranteed cost control |
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