Satisfactory control of discrete-time linear periodic systems

• Published in: Journal of control theory and applications Vol. 5; no. 1; pp. 12 - 16
• Main Authors: Liu, Shiqian, Zhu, Jihong, Hu, JinChun
• Format: Journal Article
• Language: English
• Published: Department of Computer Science and Technology,Tsinghua University,Beijing 100084,China 01.02.2007
• Subjects: 协方差; 离散时间; 线性周期系统; 鲁棒控制; Covariance assignment; Robust control; Pole allocation; Linear periodic system
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-005-5077-9

In this paper satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampled reformulation, periodic state feedback controller has been designed such that desired requirements of steady state covariance, H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously. By using satisfactory control theory, the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities （LMIs）, and a feasible designing approach is presented via LMI technique. Numeric example validates the obtained conclusion.