Dynamic output feedback stabilisation with H_∞ performance for a class of LTIPD systems using PPDQ functions
by Hamid Reza Karimi
International Journal of Modelling, Identification and Control (IJMIC), Vol. 1, No. 4, 2006

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.

Online publication date: Tue, 27-Feb-2007

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