Design of a class of extended dynamic linear controller via LMI approach

Abstract In this paper, a class of dynamic linear controller is presented and formulated in terms of linear matrix inequalities (LMIs) for multiobjective control. The structure of this class of controller is based on a generalization of the types of proper controller and proportional‐integral‐derivative (PID) controller, and possesses tunable pole dynamics as well as measurement derivatives. Following discussions on the structural characteristics and limitations, a design algorithm with multiobjective performance is presented for this type of proposed controller. Then, the achieved performance levels as well as simulations of the frequency and time responses of the proposed controller in comparison with the proper type and state feedback controllers are demonstrated through the numerical construction of pole regions with constrained H 8, H 2, and mixed H 2/H 8 optimization for two design models regarding aircraft longitudinal control and satellite attitude control, respectively.