Title: Observer-based robust control of time-delay uncertain systems with application to engine idle speed control

Authors: Yong-Hong Lan; Hui-Xian Huang

Addresses: Key Laboratory of Intelligent Computing and Information, Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, China. ' School of Information Engineering, Xiangtan University, Xiangtan, Hunan 411105, China

Abstract: A combined controller-observer design procedure for a class of time-delay uncertain systems is proposed. First, a sufficient condition for robust asymptotical stability of the closed-loop systems is presented based on Lyapunov function theory. Next, by using matrix's Singular Value Decomposition (SVD) and Linear Matrix Inequality (LMI) techniques, the existence condition and method of designing an observer-based feedback controller is derived. The result is obtained in terms of LMI, which make all the gain matrices can be easily obtained by Matlab's LMI toolbox. Finally, the developed design techniques are applied to an engine idle speed control problem. The simulation results demonstrate the validity of this approach.

Keywords: time-delay dynamical systems; observers; feedback control; singular value decomposition; SVD; linear matrix inequality; LMI; uncertainty; engine control; idle speed control; controller design; simulation.

DOI: 10.1504/IJDSDE.2012.049905

International Journal of Dynamical Systems and Differential Equations, 2012 Vol.4 No.3, pp.274 - 285

Published online: 18 Oct 2012 *

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