Dynamic output feedback stabilisation with H<SUB align=right>∞ performance for a class of LTIPD systems using PPDQ functions

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.