Ellipsoid based L2 controller design for LPV systems with saturating actuators

Authors : İbrahim Beklan KÜÇÜKDEMİRAL, Levent UCUN, Yavuz EREN, Haluk GÖRGÜN, Galip CANSEVER

Pages : 775-785

View : 11 | Download : 3

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper addresses the L2 gain control problem for disturbance attenuation in Linear Parameter Varying insert ignore into journalissuearticles values(LPV); Systems having saturating actuators when the system is subjected to L2 disturbances. In the presented method, saturating actuator is expressed analytically with a convex hull of some linear feedback which let us construct L2 control problem via Linear Matrix Inequalities insert ignore into journalissuearticles values(LMIs); which are obtained by some ellipsoids. It is shown that the stability and disturbance rejection capabilities of the control system are all measured by means of these nested ellipsoids where the inner ellipsoid covers the initial conditions for states whereas the outer ellipsoid designates the L2 gain of the system. It is shown that the performance of the controller is highly related by the topology of these ellipsoids. Finally, the efficiency of the proposed method is successfully demonstrated through simulation studies on a single-track vehicle dynamics having some linear time-varying parameters.
Keywords : LMI, linear parameter varying LPV, systems, single track vehicle model