☆ 4.5 Article

Composite nonlinear feedback control for linear singular systems with input saturation

SYSTEMS & CONTROL LETTERS (2011)

Journal

SYSTEMS & CONTROL LETTERS

Volume 60, Issue 10, Pages 825-831

Publisher

ELSEVIER

DOI: 10.1016/j.sysconle.2011.06.006

Keywords

Nonlinear feedback; Tracking control; Singular systems; Input saturation

Categories

Automation & Control Systems Operations Research & Management Science

Funding

National Natural Science Foundation of China [61074004]
Natural Science Foundation of Fujian Province of China [2008J0033]
Program for New Century Excellent Talents in University [NCET-09-0674]
211 Innovation Engineering on Information in Xiamen University

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Abstract

This paper investigates the composite nonlinear feedback (CNF) control technique for linear singular systems with input saturation. First, a linear feedback control law is designed for the step tracking control problem of linear singular systems subject to input saturation. Then, based on this linear feedback gain, a CNF control law is constructed to improve the transient performance of the closed-loop system. By introducing a generalized Lyapunov equation, this paper develops a design procedure for constructing the CNF control law for linear singular systems with input saturation. After decomposing the closed-loop system into fast subsystem and slow subsystem, it can be shown that the nonlinear part of the CNF control law only relies on slow subsystem. The improvement of transient performance by the proposed design method is demonstrated by an illustrative example. (C) 2011 Elsevier B.V. All rights reserved.

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