Shifting Hinf Linear Parameter Varying State-Feedback Controllers Subject to Time-Varying Input Saturations

Abstract

This paper establishes a methodology based on linear matrix inequalities (LMIs) to design a shifting Hinf linear parameter varying (LPV) state-feedback controller for systems affected by time-varying input saturations. By means of the shifting paradigm, the instantaneous saturation values are linked to a scheduling parameter vector. Then, the disturbance rejection is dealt with the quadratic boundedness concept and the shifting Hinf methodology. The design conditions are obtained within the LPV framework using ellipsoidal invariant sets, thus obtaining an LMI-based feasibility problem that can be solved via available solvers. Finally, the main characteristics of the proposed approach are validated by means of an illustrative example.