Input tracking of Lipschitz nonlinear systems using input-state-stability approach

Abstract

A simple approach based on input to state stability (ISS) criterion for input tracking and stabilisation of a Lipschitz nonlinear system is being proposed. The controller design is carried out in a linear matrix inequality (LMI) framework. The resulting controller, if feasible, tracks the input reference signal and also provides stability to the system. The designed closed loop system is robust against parametric norm bound uncertainty.