Delay-dependent guaranteed cost control for uncertain 2-D discrete systems with state delay in the FM second model

作者：Xu Jianming^*; Yu Li

来源：Journal of the Franklin Institute, 2009, 346(2): 159-174.

DOI：10.1016/j.jfranklin.2008.08.003

• 2-D discrete systems
• State delay
• Delay-dependent
• Guaranteed cost control

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 a alpha is an element of (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.

• 出版日期2009-3
• 单位浙江工业大学