Robust Pole Assignment via State Feedback for Uncertain High-order System

The problem of robust pole assignment for the uncertain high-order system is formulated. On the strength of a previous eigenstructure assignment result for the high-order system, by introducing the sensitivity of uncertain parameters in the system model to the closed-loop poles, the parametric expression of the state feedback gain matrix to the problem of robust pole assignment is obtained. The robust optimal solution can be derived by a simple independent optimization algorithm. The closed-loop poles can be fixed or chosen within certain desired regions on the complex plane, which further improves the robustness. The example illustrates robust state feedback controller obtained by the proposed algorithm has better robustness.