Robust static output feedback control using a Particle Swarm Optimization-DE-linear matrix inequality algorithm hybrid algorithm

Abstract Under the multi-objective framework, this paper presents a hybrid algorithm to solve robust static output feedback control problem for continuous polytopic uncertain system. To obtain static output feedback gain, a new hybrid algorithm is proposed by combination of a hybrid algorithm of the Particle Swarm Optimization (PSO) and Differential Evolution (DE), and the linear matrix inequality (LMI) method. The proposed algorithm is used to solve a optimization problem with a bilinear matrix inequality (BMI) constraints. The PSO-DE hybrid algorithm was used to obtain a population of controllers, and LMI approach was used to optimize a performance criterion of the system. Taking a hybrid H2/H∞ control problem as example, the detailed algorithm is presented to solve robust static output feedback control problem. The simulation results show that the proposed hybrid algorithm improves the convergence rate and accuracy of iterative methods and the original DE-LMI algorithm.