Discrete-time ℋ_∞ control for nonlinear polynomial systems

Abstract

This paper presents a solution of the suboptimal regulator problem for a class of discrete-time nonlinear polynomial systems. The solution is obtained by reducing the control problem to the corresponding one. A general solution has been obtained for a polynomial of an arbitrary order; then, finite-dimensional regulator equations are derived explicitly for a second-order polynomial. Numerical simulations have been carried out to show effectiveness of the proposed method.

Keywords:

• discrete-time
• H-infinity
• polynomial system

Acknowledgements

The authors thank the Mexican Science and Technology Council (CONACYT) for financial support of a postdoctoral stay of the first author [under grant number 129081].