Static output stabilisation of singular LPV systems: LMI formulation

This paper addresses the design of static output feedback controller for singular discrete-time LPV systems. Sufficient synthesis conditions are derived in Linear Matrix Inequalities (LMI) formulation. To introduce more of relaxation, polyquadratic Lyapunov functions is proposed instead of quadratic method, the number of LMI conditions is reduced and extra degrees of freedom are included. Academic example is proposed to illustrate the effectiveness of the derived results.