Feedforward control synthesis of linear parameter varying systems and application to permanent magnet synchronous motor

This study presents the feedforward control synthesis for Linear Parameter Varying (LPV) systems. In this problem considered for the nonlinear systems, it is assumed that all system forms are dependent on parameters, which are measurable with sensor or observable and in a varying set of bounded variation rates. Parameter-Dependent Lyapunov Function (PDLF) is used for the synthesis such that the robust stability is assured for all varying parameters at the time of the operation. The solution is formulated in terms of Linear Matrix Inequality (LMI) for LPV feedforward controller that guarantees the stability of the closed-loop system having L2 gain. This controller can be used for disturbance attenuation or decreasing in the tracking error. This compensator is used by adding on the feedback controller in two degrees of freedom control configurations. Van der Pol system and Permanent Magnet Synchronous Motor (PMSM) application examples are given to provide the applicability of the proposed solution.The thesis consists of the five chapters. In Chapter 1; the comprehensive literature studies about the thesis, the aim of the thesis and the contributions provided to literature are given. Chapter 2 summarizes Lyapunov stability analysis, the LMI forms, H? and LPV control design, LMI solutions and PDLF. In Chapter 3, the proposed LMI solution and some numerical examples are presented for the LPV feedforwardcontroller design. In Chapter 4; the LPV modeling of PMSM, the simulation results for the LPV control and the feedforward LPV control of PMSM are given. In Chapter 5, the experimental platform is presented for the implementation of the LPV control of PMSM. In Chapter 6; the main results of the studies, the suggestions and the further works are given.Keywords: Linear parameter varying control, LPV feedforward control, H? optimal control, two degrees of freedom (2-DOF) control, LMI, Permanent Magnet Synchronous Motor (PMSM), vector control, field oriented control (FOC).