Improved Robust Gain-Scheduling Static Output Feedback Control for Discrete-Time LPV Systems

Abstract This paper presents new synthesis conditions for gain-scheduling static output-feedback control of discrete-time linear systems with time-varying parameters. A feature of the proposed condition, unlike most approaches in the literature, is that no structural constraints on the output matrix are imposed, that is, the proposed approach is able to handle variation in the dynamics, input, and output matrices without resorting to similarity transformations or iterative procedures. The stabilization conditions are extended to cope with the H ∞ control problem. The proposed conditions are formulated in the form of linear matrix inequalities. Numerical experiments illustrate the potential of the proposed techniques.