A Design Method for Nonlinear H^∞ Control Based on Hamilton-Jacobi-Isaacs Equation

A Genetic Programming Approach

Abstract

Based on Hamilton-Jacobi-Isaacs equation, we deal with a design problem of the state feedback controller for the nonlinear H^∞ control problem. Making use of the emergent property of Genetic Programming, we try to approximately obtain the solution of the Hamilton-Jacobi-Isaacs equation. By introducing the automatic differentiation technique, we then combine the Genetic Programming with the nonlinear H^∞ control problem. Some numerical examples are demonstrated to illustrate the efficiency of the proposed design method.