A Matlab toolbox for LMI-based analysis and synthesis of LPV/LFT self-scheduled H ∞ control systems

When controlling a Linear Parameter Varying (LPV) system, a LPV regulator is advisable, since it ensures better performance than a simple Linear Time Invariant actually does. In fact, real-time scheduling to the variations of the system allows the achievement of stability and performance requirements for a number of operating points. Within this setting, this paper discusses a Matlab toolbox achieving a self-scheduled LPV controller for an LPV model of the plant, robust in an H ∞ sense in the face of uncertainties affecting the system's dynamics, through a Linear Matrix Inequality approach. The resulting algorithm alternatively implements synthesis and analysis steps, until the desired closed-loop performance level has been reached or no improvement between two successive steps arises.