Identification and Control Techniques for Linear Parameter Varying Systems
Dr. Juan Camino
Faculty of Mechanical Engineering
University of Campinas
DEI - Conference Room
July 15th, 2010
Since the beginning of the nineties, control design techniques for linear parameter-varying (LPV) systems have received a lot of attention from the control community. This stems from the fact that LPV models are useful to describe the dynamics of linear systems affected by time-varying parameters as well as to represent nonlinear systems in terms of a family of linear models.
There has been a continuing effort towards the design of LPV controllers that achieve higher performance while still guaranteeing stability for all possible parameter variations. Most techniques rely on the availability of an LPV state-space model. While identification of linear time-invariant (LTI) systems is well known, identification of LPV models remains a challenging problem. In this talk, I will present some recent advances in modeling and control techniques for LPV systems. The proposed LPV modeling is based on the so called local approach, that interpolates a set of local LTI models obtained for constant values of the scheduling parameter. The proposed LMI-based control design technique uses parameter-dependent Lyapunov functions to provide robust and gain-scheduled controllers.