An Improvement to the Low Gain Design for Discrete-Time Linear Systems Subject to Input Saturation - Solution of Semi-Global Output Regulation Problems

Abstract

A low gain design for linear discrete-time systems subject to input saturation was recently developed in (Lin and Saberi 1995a, Lin et al. 1995a, Mantri et al. 1995) to solve both semi-global stabilization and semi-global output regulation problems. This paper proposes an improvement to the low gain design and determines controllers with the new design that achieve semi-global output regulation. The improvement is reflected in better utilization of available control capacity and consequently better closed-loop performance.