A Symbolic Computation Approach to Parameterizing Controller for Polynomial Hamiltonian Systems

Abstract EN

This paper considers controller parameterization method of H∞ control for polynomial Hamiltonian systems (PHSs), which involves internal stability and external disturbance attenuation.

The aims of this paper are to design a controller with parameters to insure that the systems are H∞ stable and propose an algorithm for solving parameters of the controller with symbolic computation.

The proposed parameterization method avoids solving Hamilton-Jacobi-Isaacs equations, and thus the obtained controllers with parameters are relatively simple in form and easy in operation.

Simulation with a numerical example shows that the controller is effective as it can optimize H∞ control by adjusting parameters.

All these results are expected to be of use in the study of H∞ control for nonlinear systems with perturbations.