Hybrid Optimal Tracking Control with Preview for Linear Discrete-Time Systems by Simultaneous Optimization Approach of System States and Mode Distributions

Abstract

In this paper, we study optimal LQ tracking control problems with preview for linear discrete-time hybrid systems. We adopt an approach to optimize system states and mode distributions simultaneously. We consider optimization problems for averaged systems and averaged performance indices throughout mode distributions. On the contrary to the previous work [16, 17], in this paper, we consider to utilize any preview information of reference signals.