Practical tracking and disturbance rejection for a class of discrete-time stochastic linear systems.

This paper is devoted to the practical tracking control and disturbance rejection for a class of discrete-time stochastic linear systems (DTSLSs). Firstly, a criterion on practical stability in probability (PS-P) of discrete-time stochastic systems is given. Secondly, based on internal model principle (IMP) and pole assignment algorithm, a dynamic controller is designed such that practical tracking in mean square (PTMS) sense and disturbance rejection are realised, while maintaining the PS-P of DTSLSs. In the end, the feasibility of the proposed method is verified by the application to the mass-spring-damper system, and the efficiency is illustrated by the simulation results. [ABSTRACT FROM AUTHOR]