A fast algorithm for a stabilizing receding horizon controller

Author

Chisci, L. ; Mosca, E. ; Zengl, S.

Author_Institution

Diparitmento di Sistemi e Inf., Firenze Univ., Italy

fYear

1991

fDate

11-13 Dec 1991

Firstpage

517

Abstract

A fast algorithm for a stabilizing receding horizon controller is proposed to reduce the computational load from O(N³) to O(N), N being the control horizon. The algorithm can be used for solving a prototypical model-based predictive control problem. The algorithm is based on a constrained least-squares formulation which permits treatment of the cost-functional, the plant output predictions, and the terminal constraints in a unified manner. It employs fast Givens and Gauss transformations as basic numerical tools resulting in a simple and numerically reliable implementation

Keywords

matrix algebra; predictive control; stability; Gauss transformations; Givens transformations; computational load; constrained least-squares formulation; control horizon; cost-functional; matrix algebra; model-based predictive control; plant output predictions; stabilizing receding horizon controller; terminal constraints; Adaptive control; Computer industry; Gaussian processes; High performance computing; Industrial control; Open loop systems; Predictive control; Predictive models; Programmable control; Prototypes; Sampling methods; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261358

Filename

261358