摘要
研究了具有状态滞后的二维(2-D)离散线性系统的时滞相关H∞控制问题.首先提出了2-D状态滞后系统的时滞相关有界实引理;基于此引理,通过线性矩阵不等式(LMI)的可行性,设计状态反馈控制器使得闭环系统具有H∞扰动衰减度γ;进而求解一个线性凸优化问题可得最小化γ值.所得的时滞相关结果可转化为时滞无关情形.数值算例说明了所得结论的有效性和优越性.
This paper studies the delay-dependent H∞ control problem of two-dimensional (2-D) discrete linear systems with state delays. Firstly, we propose the delay-dependent bounded real lemma of 2-D state-delayed systems. Based on the lemma, the design of state feedback controller is developed, such that the closed-loop system has H∞ disturbance attenuation ), via the feasibility of linear matrix inequalities (LMIs). Furthermore, the minimum value of γ can be obtained by solving a linear convex optimization problem. The delay-dependent result can be extended to the delay-independent one. Numerical examples demonstrate the effectiveness and advantages of our results.
出处
《控制与决策》
EI
CSCD
北大核心
2008年第10期1117-1121,共5页
Control and Decision
基金
国家杰出青年科学基金项目(60525303)
教育部科技重点研究项目(204014)