LPV Control Synthesis for Sensor Senescence in Feedback Control System

Abstract

The senescence of system sensor(s) probably causing degenerate system behavior or system breakdown. Motivated by that, this work considers the synthesis of a gain scheduling control for linear parameter varying (LPV) system via linear matrix inequalities (LMIs) techniques such that sensors senescence information incorporated in the design of the controller. That is, the degradation of sensor effectiveness due to senescence is modeled by the variation of sensor measurements' noise co-variance. The sensors' senescence information is incorporated as a part of the scheduling parameters for the LPV controller. The synthesis control matrices via linear matrix inequalities have been re-structured and re-formalized in a way that they incorporate the sensors senescence information to synthesize a gain scheduling dynamic output feedback (GS − DOF) control. That is, the existing GS − DOF control design LMIs have been modified to include the noise co-variance matrix. The significant achievement is the control design conditions description of GS − DOF control in a way that ensures the desired integrated H2&H∞ performances in the presence of sensors senescence, where sensors' senescence information is incorporated as a part of the scheduling parameters for the LPV controller. In addition, two sets of controllers have been synthesized and studied. The simulation expresses the benefits of the proposed controllers, and closed loop system H∞ and H2 performances are also studied. The synthesized controller ensures the performance associate with a closed loop, the closed loop system stability, and the scheme of control is simple enough for real time implementations.