An Improved Receding Horizon Control for Time-Delay Systems

Abstract

In this paper, we propose an improved version of receding horizon control for systems with state delays. The proposed control guarantees closed-loop stability for a wider class of state-delay systems than the existing one. For expanded applications, a more generalized cost function, with three terminal weighting terms, is employed and minimized. Terminal weighting matrices are chosen to achieve the property that the optimal cost monotonically decreases with time. It turns out that the stability condition depends on the delay size and then it is less conservative than the existing delay-independent one. The simulation study shows that the proposed control scheme guarantees closed-loop stability even for state-delay systems that cannot be stabilized by the existing receding horizon control.

Receding Horizon Control-Based Stabilization of Discrete-Time Stochastic Systems With State Delay

“…In what follows we will convert the inequality (16) into an LMI. Then, the solutions of Equation (16) will be obtained easily.…”

“…In [1], the general RHC stabilization result of a system with state delay was obtained by using linear matrix inequality (LMI). The RHC of a system with state delay was further considered in [16], and by defining a more general cost function, a stabilization condition related to timedelay was given. Reference [17] studied the system with input delay and the explicit controller and stabilization conditions was derived.…”

Receding horizon control for discrete‐time multiple input delay systems

“…The explicit controller and stabilization condition have been derived. Lee and Han also considered RHC for systems with state delay. By defining a more general cost function, a delay dependent stabilization condition has been given.…”

“…For deterministic time delay systems, some results have been obtained based on RHC. [9][10][11][12] For instance, Kwon et al 9 considered RHC for systems with a state delay. However, the stability of the closed-loop system could not be guaranteed.…”

“…For deterministic time delay systems, some results have been obtained based on RHC . For instance, Kwon et al considered RHC for systems with a state delay.…”