Finite-time control of discrete-time systems with time-varying exogenous disturbance

作者：Zhu Lin; Shen Yanjun^*; Li Cuicui

来源：Communications in Nonlinear Science & Numerical Simulation, 2009, 14(2): 361-370.

DOI：10.1016/j.cnsns.2007.09.013

• Finite-time stability
• Uncertain discrete-time system
• Linear matrix inequality (LMI)
• Time-varying exogenous disturbance
• State feedback

This paper deals with some finite-time control problems for uncertain discrete-time linear systems subject to exogenous disturbance. Sufficient conditions are presented for finite-time stabilization via state feedback. These conditions can be reduced to feasibility problems involving linear matrix inequality (LMI). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example illustrates the proposed methodology.

• 出版日期2009-2
• 单位三峡大学