A new delay-dependent H-infinity control criterion for a class of discrete-time systems with time-varying state delays and input delays

作者：Wang, Y; Zuo, Y^*; Huang, L; Wang, Z

来源：Proceedings of the Institution of Mechanical Engineers Part I-Journal of Systems and Control Engineering, 2008, 222(I8): 863-874.

DOI：10.1243/09596518JSCE600

• discrete-time systems
• delay-dependent stability
• H-infinity control
• finite-sum inequality
• linear matrix inequalities

This paper deals with delay-dependent H-infinity control for discrete-time systems with time-varying state delays and input delays. A new finite-sum inequality is first established to derive a delay-dependent condition, under which the resulting closed-loop system via a state feedback is asymptotically stable with a prescribed H. noise attenuation level. Moreover, a modified iterative algorithm according to the previously published algorithm of Ghaoui and Oustry (IEEE Trans. Autom. Control, 1997, 42(8), 1171-1176) involving convex optimization is proposed to obtain a suboptimal H-infinity controller. Two numerical examples are presented which show the effectiveness of the proposed method.

• 出版日期2008-12
• 单位湖南大学