A new approach to H∞ controller design with regional pole assignment

This paper addresses the design of state feedback H_∞, robust controller that satisfies additional constraints on closed-loop poles location. Desired closed-loop poles location is considered to be a clipped sector, corresponding to some performance specifications such as suitable settling time and overshoot. In order to solve the H_∞ optimization problem with two Lyapunov constraints, the Lagrange multiplier is used. It is shown that the appropriate controller is characterized by three coupled algebraic Riccati equations. The validity and applicability of this approach are illustrated by two benchmark examples and the results are compared with those of the conventional H_∞ control problem and related works.