Boundaries of the Receding Horizon Control for Interconnected Systems


In recent years, the finite-horizon quadratic minimization problem has become popular in process control, where the horizon is constantly rolled back. In this paper, this type of control, which is also called the receding horizon control, is considered for interconnected systems. First, the receding horizon control equations are formulated; then, some stability conditions depending on the interconnection norms and the horizon lengths are presented. For ε-coupled systems, stability results similar to centralized systems are obtained. For interconnected systems which are not ε-coupled, the existence of a horizon length and a corresponding stabilizing receding horizon control are derived. Finally, the performance of a locally computed receding horizon control for time-invariant and time-varying systems with different updating intervals is examined in an example.


Electrical and Computer Engineering

Keywords and Phrases

Decentralized Control; Interconnected Systems; Optimal Control; Predictive Control; Quadratic Optimization; Receding Horizon Control; Rolling Horizon Control

International Standard Serial Number (ISSN)

0022-3239; 1573-2878

Document Type

Article - Journal

Document Version


File Type





© 1995 Springer Verlag, All rights reserved.

Publication Date

01 Feb 1995