Robust Constrained Gain-Scheduled Static Output Feedback Controller for NLPV descriptor systems

This paper presents a new approach to design Gain-Scheduled Static Output Feedback (SOF) controller for constrained Non Linear Parameter Varying (NLPV) descriptor system, subject to input saturation and external disturbances. Moreover, we take into account both state and input constraints in the control design using set invariance arguments. For the control context, we provide an effective solutions with a new class of Parameter Dependent (PD) nonqudratic Lyapunov function to estimate the largest Domain of Attraction (DoA), wich can be nonconvex, it can be formulated and solved as an optimization problem under strit PD Linear Matrix Inequality (LMI) constraints, the $\mathfrak{L}_{2}$ gain performance is used to attenuate the effect of the external disturbances. Controller design and stability analysis are provided with techniques in order to obtaining less conservative results. The theoretical developments are provided to demonstrate the effectiveness of the proposed approach in reducing the design conservatism through an illustrative example.