Title: A moving horizon H_∞ output feedback control scheme for constrained uncertain linear systems

Authors: Guokai Xu; Juan Wang; Tao Zhang

Addresses: College of Electromechanical and Information Engineering, Dalian Nationalities University, 18 Liaohe West Road, Dalian Economic and Development Zone, Dalian, 116600, China. ' College of Electromechanical and Information Engineering, Dalian Nationalities University, 18 Liaohe West Road, Dalian Economic and Development Zone, Dalian, 116600, China. ' College of Electromechanical and Information Engineering, Dalian Nationalities University, 18 Liaohe West Road, Dalian Economic and Development Zone, Dalian, 116600, China

Abstract: A dynamic output feedback control via moving horizon H_∞ strategy for constrained system is developed. For the constrained system with bounded exogenous disturbances, an output feedback control approach is presented to guarantee H_∞ performance in the framework of linear matrix inequalities (LMI). It is a challenge to accurately estimate the largest energy of the disturbance for the actual system. To avoid the conservatism derived from over-estimation and constraints unsatisfaction derived from under-estimation, a new dissipative constrained condition is further employed and a moving horizon output feedback control law which guarantees H_∞ performance is presented by optimising the H_∞ performance index online. The method can automatically trade-off between satisfying control constraints and enhancing performance, and still make the closed-loop system satisfy the control constraint when the estimation of the largest energy of disturbance is small, thus the control performance of system can be enhanced with certain control abilities.

Keywords: constrained systems; H-infinity performance; output feedback; LMI optimisation; moving horizon control; feedback control; linear matrix inequality.

DOI: 10.1504/IJMIC.2012.046698

International Journal of Modelling, Identification and Control, 2012 Vol.16 No.1, pp.79 - 85

Published online: 17 Dec 2014 *

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