Robust gain scheduled PI-D controller design for descriptor system

A new approach of gain scheduled PI-D controller design for descriptor system is presented in the proposed paper. The proposed method in the frame of H2 with quadratic criterion ( Q, S, R) ensures robust properties of the closed-loop descriptor system and parameter dependent quadratic stability. The obtained method to robust admissibility analysis of descriptor system with time varying both the uncertain parameters of polytopic systems and gain scheduled variable is expressed in the form of strict LMI. For the D-part of PI-D gain scheduled controller the designer could use any or all outputs of the descriptor system. The designed example exhibits the quality of proposed method.