Robust global L{sub}2-gain control of structural non-linear systems

摘要

This paper examines the problem of robust L{sub}2 gain control of a class of Lipschitz non-linear systems which ii in the combined feedback and feedforward (CFF) form. Based on the Lyapunov theory, we develop a simple procedure for constructing afeedback controller which guarantees that the so-called L{sub}2-gain from the exogenous input noise to the state is minimized or no larger than a perscribed value. Finally, we stress that the design procedure does not rely on a solution to theHamilton-Jacobi equation or Riccati equation.