Non-fragile PD state control for a class of uncertain descriptor systems
- 作者：Junchao Ren ; junchao_r@sohu.com ; Qingling Zhang
- 关键词：State-derivative feedback ; Singular systems ; Descriptor systems ; H&infin ; control ; Proportional plus derivative state feedback ; Non-fragile control
- 刊名：Applied Mathematics and Computation
- 出版年：2012
- 期刊代码：7_00963003
- 类别：cp
- 出版时间：1 May, 2012
- 卷：218
- 期：17
- 页码：8806-8815
- 文件大小：248 K
摘要
This paper is concerned with the problem of non-fragile proportional-plus-derivative (PD) state control for a class of uncertain descriptor systems. The parameter uncertainties are assumed to be time-varying norm-bounded appearing not only in the state matrix but also in the derivative matrix. A new version of bounded real lemma for descriptor systems is proposed, which guarantees a descriptor system to be normal and stable (NS) with -disturbance rejection. Based on this, we address the problem of designing non-fragile PD state controllers with additive and multiplicative controller uncertainties, respectively. Sufficient conditions are presented to synthesize two classes of such non-fragile controllers in terms of LMIs. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design method.