Controller Reduction of Parameter Dependent Systems

Model Reduction for Linear Parameter-Dependent Systems

The paper considers the problem of model reduction for a class of linear parameterdependent (LPD) systems. Three model reduction approaches: balanced truncation, balanced LQG truncation and gain-scheduledH∞ model reduction, are presented to reduce the dimension of LPD systems. For the former two approaches, conditions to proceed the reduction are given in terms of a finite number of linear matr...

Controller Design For Distributed Parameter Systems

Robust Control and Model and Controller Reduction of Linear Parameter Varying Systems

In this paper we develop and demonstrate a Linear Parameter Varying (LPV) stabilisation technique. The method systematically obtains a controller of a gain-scheduling nature that exhibits a certain level of robustness and performance for the LPV system. We propose a global approach to simultaneously design a robust controller as well as devise a procedure which uses the solution to the controll...

Improved stability analysis and gain-scheduled controller synthesis for parameter-dependent systems

We present new algorithms for the robust stability analysis and gain-scheduled controller synthesis for linear systems aaected by time-varying parametric uncertainties. Suucient conditions for robust stability as well as conditions for the existence of a robustly stabilizing gain-scheduled controller are given in terms of a nite number of Linear Matrix Inequalities; explicit formulae for constr...

Robust Mpc Controller Design for Switched Systems Using Multi-parameter Dependent Lyapunov Function

The paper addresses the problem of designing a robust output/state model predictive control for linear polytopic switched systems. We propose a new method for calculation of control algorithm parameters for predictive robust control of a linear switched polytopic system. Lyapunov function approach guarantees the multi-parameter-dependent quadratic stability (MPDQS) and guaranteed cost for a clo...