Title: Dynamic output feedback stabilisation with H_∞ performance for a class of LTIPD systems using PPDQ functions

Authors: Hamid Reza Karimi

Addresses: Control and Intelligent Processing Center of Excellence, Faculty of Engineering, Department of Electrical and Computer Engineering, University of Tehran, P.O. Box: 14395-515, Tehran, Iran

Abstract: This paper describes a new sufficient condition for the Dynamic Output Feedback (DOF) stabilisation of linear time invariant parameter-dependent systems in the presence of norm-bounded non-linear uncertainties. The required sufficient conditions with high precision are expressed as Linear Matrix Inequalities (LMIs) using the idea of Polynomial Parameter-Dependent Quadratic (PPDQ) functions. It is shown that the parameter-dependent DOF control ensures robust asymptotically stability and robust disturbance attenuation, simultaneously, based on the Hamiltonian-Jacobi-Isaac method. The applicability of the proposed method is illustrated with a simple example.

Keywords: parameter-dependent systems; dynamic output feedback control; linear matrix inequality; LMI; robust stabilisation.

DOI: 10.1504/IJMIC.2006.012619

International Journal of Modelling, Identification and Control, 2006 Vol.1 No.4, pp.308 - 315

Published online: 27 Feb 2007 *

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