Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems

Fucheng Liao, Yingxue Wu, Xiao Yu and Jiamei Deng

Mathematical Problems in Engineering, 2018, vol. 2018, 1-10

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7017135

DOI: 10.1155/2018/7017135

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