Static output feedback pole assignment based on the regional attractors

Regional pole assignment is studied for a class of linear systems via static output feedback. The shortage of the optimization problem subject to a set of bilinear matrix inequalities(BMIs) is analyzed. Then the algorithm of static output feedback pole assignment based on the regional attractors is proposed. A set of attractors in the satisfactory region is determined firstly. After that, the optimization direction of the output feedback matrix can be obtained via the one-dimensional searching method of variable polling. And a feasible solution can be attained by iterative computation. Computational results are presented demonstrating the effectiveness of the provided algorithm.