  Under the multi-objective framework, this paper presents a hybrid algorithm
to solve robust static output feedback control problem for continuous
poly-topic 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 and Differential Evolution (DE), and the linear
matrix inequality method. The proposed algorithm is used to solve a
optimization problem with a bi-linear matrix inequality constraints. The
Particle Swarm Optimization-DE hybrid algorithm was used to obtain a population
of controllers, and linear matrix inequality approach was used to optimize a
performance criterion of the system. Taking a hybrid H 2/H infinite 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-linear matrix inequality algorithm.
