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

Abstract EN

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.