An LMI approach to optimal simultaneous system design of structure and controller under H∞ constraint

This paper proposes an linear matrix inequality (LMI) approach to simultaneous optimization design of structure and dynamic output feedback controller under H_∞ constraint. First, a controlled object (plant) and the closed-loop system are described by descriptor form. Next, an H_∞ constraint represented as a Riccati inequality is decoupled into two low-order Riccati inequalities solved consecutively. Based on the solutions of two inequalities, we can derive a controller and structural parameters for H _∞ performance. The problem can be reduced to convex optimization problem subject to inequality constraints