Guaranteed Cost Sampled-data Control: An Input Delay Approach
In this paper, the problem of robust guaranteed cost sampled-data control is investigated for a linear system with norm bounded time-varying parametric uncertainties. By applying an input delay approach, the system is transformed into a continuous time-delay system. Using the Lyapunov stability theory and linear matrix inequality (LMIs) method, a robust guaranteed cost sampled-data control law is derived to guarantee that the asymptotical stability of the closed-loop system and the quadratic performance index less a certain bound for all admissible uncertainties. Sufficient conditions for the existence of state-feedback controller are obtained in the form of linear matrix inequalities (LMIs). A convex optimization problem is formulated to obtain the optimal state-feedback controller which can minimize the quadratic performance level. The effectiveness of the proposed method can be illustrated by the simulation example.
uncertain system guaranteed cost sampled-data control input delay linear matrix inequalities(LMIs)
Liying Fan Junfeng Wu Jixiang Li Shigang Wang Hongliang Liu
School of Automation ,Harbin University of Science and Technology,Harbin,China School of Automation ,Harbin University of Science and Technoloty School of Mathematics ,Harbin Normal University
国际会议
The 6th International Forum on Strategic Technology(IFOST 2011)(第六届国际战略技术论坛)
哈尔滨
英文
1045-1048
2011-08-22（万方平台首次上网日期，不代表论文的发表时间）