An LMI-based optimization approach for integrated plant/output-feedback controller design

In this paper, a special integrated plant/output-feedback controller optimization problem is studied, which optimizes a single plant parameter while satisfying open- and closed-loop static and dynamic performance requirements. Both polytopic model uncertainties and multi-mission optimization are considered in the integrated design optimization. A necessary and sufficient condition is given for the solvability of such an optimization problem. Based on the condition, a design optimization method is presented in terms of linear matrix inequalities. An aircraft example is applied to demonstrate the proposed method.