Weighted H∞ model reduction for linear switched systems with time-varying delay
Weighted H∞ model reduction for linear switched systems with time-varying delay
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发表时间：
2009
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通讯作者：
Ligang Wu;W. Zheng
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作者：
Ligang Wu;W. Zheng
研究了具有时变时滞的连续时间线性切换系统的H∞模型降阶问题。对于给定的稳定切换系统，我们的注意力集中在构造一个降阶模型，使得误差系统是指数稳定的，并具有给定的加权H∞性能。应用平均驻留时间方法和分段李雅普诺夫函数技术，以线性矩阵不等式（LMI）的形式给出了保证误差系统指数稳定和加权H∞性能的时滞相关/时滞无关充分条件.模型降阶问题采用投影方法求解，该方法利用锥互补线性化算法将模型降阶问题转化为线性矩阵不等式（LMI）约束下的序列最小化问题。数值算例验证了所提理论的有效性。© 2008爱思唯尔有限公司版权所有。
This paper is concerned with H∞ model reduction for continuous-time linear switched systems with time-varying delay. For a given stable switched system, our attention is focused on construction of a reduced-order model such that the error system is exponentially stable with a prescribed weighted H∞ performance. By applying the average dwell time approach and the piecewise Lyapunov function technique, delay-dependent/deley-independent sufficient conditions are proposed in terms of linear matrix inequality (LMI) to guarantee the exponential stability and the weighted H∞ performance for the error system. The model reduction problem is solved by using the projection approach, which casts the model reduction problem into a sequential minimization problem subject to LMI constraints by employing the cone complementary linearization algorithm. A numerical example is provided to illustrate the effectiveness of the proposed theory. © 2008 Elsevier Ltd. All rights reserved.