1. Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems.
- Author
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Liao, Fucheng, Wu, Yingxue, Yu, Xiao, and Deng, Jiamei
- Subjects
- *
LINEAR matrix inequalities , *LYAPUNOV functions , *FEEDBACK control systems , *STOCHASTIC systems , *ROBUST control - Abstract
A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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