Brief Reduced-order control for a class of nonlinear similar interconnected systems with mismatched uncertainty

Authors:
Xing-Gang Yan;Lihua Xie
Affiliations:
Department of Engineering, University of Leicester, University Road, Leicester LE1 7RH, UK;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue 639798, Singapore
Venue:
Automatica (Journal of IFAC)
Year:
2003

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Abstract

In this paper, a class of nonlinear interconnected systems with similar structure is considered. The interconnected system consists of matched and mismatched uncertainties. Based on constrained Lyapunov equations and by exploiting the structure of the interconnected system, a continuous output feedback reduced-order control scheme is presented to stabilize the system robustly. Our approach allows more general forms of known and uncertain interconnections than existing work. The effectiveness of the proposed reduced-order control scheme is illustrated through a numerical example.