NONLINEAR CONTROLLER DESIGN BASED ON OPTIMAL MATRIX ASSIGNMENT

Matrix assignment of linear control design is extended to nonlinear control. Linear and nonlinear controllers based on higher powers in the state variable are used for solving this optimization problem. The method presented addresses a scanning operation in the state-space region under consideration and minimizes the maximum deviation to the linear control design target. In addition, emphasis is put on Lyapunov conditions for stability and on controller norm restrictions.