Control Of Time-varying Discrete-time Systems Research Articles

Output feedback receding horizon stabilization and H∞ control for time-varying discrete-time systems

In this paper we consider the receding horizon stabilization and H∞ control problems for time-varying discrete-time systems. We first consider the receding horizon stabilization control problem. We give design methods of receding horizon state feedback, output feedback controllers and observers. We then consider the receding horizon H∞ control problems. We introduce two Riccati inequalities (equations) from the standard H∞ theory, one for the state feedback controller and the other for the filter gain. We rewrite the second Riccati inequality and obtain an equivalent inequality for the inverse. We then rewrite this using LMI to obtain the final form of the inequality which is used to our receding horizon H∞ control problem. We give a numerical example and construct a receding horizon H∞ controller.

Localization based switching adaptive control for time-varying discrete-time systems

In this paper a new systematic switching control approach to adaptive stabilization of linear time-varying (LTV) discrete-time systems is presented. A feature of the localization based method is its high model falsification capability, which in the case of LTI systems is manifested as the rapid convergence of the switching controller. We believe that the proposed method may help pave the way for design of practical adaptive switching controllers applicable to a wide range of linear time-invariant and time-varying systems.