Finite-time H sub([infinity] control for linear continuous system with norm-bounded disturbance)

• Published in: Communications in nonlinear science & numerical simulation Vol. 14; no. 4; pp. 1043 - 1049
• Main Authors: Meng, Qingyi, Shen, Yanjun
• Format: Journal Article
• Language: English
• Published: 01.04.2009
• Subjects: Computer simulation; Control systems; Design engineering; Disturbances; Feasibility; Linear matrix inequalities; Mathematical models; State feedback
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2008.03.010

In this paper, the definition of finite-time H sub([infinity] control is presented. The system under consideration is subject to time-varying norm-bounded exogenous disturbance. The main aim of this paper is focused on the design a state feedback controller which ensures that the closed-loop system is finite-time bounded (FTB) and reduces the effect of the disturbance input on the controlled output to a prescribed level. A sufficient condition is presented for the solvability of this problem, which can be reduced to a feasibility problem involving linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, examples are given to show the validity of the methodology.)