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

This paper examines the problem of robust L-2 gain control of a class of Li pschitz non-linear systems which is in the combined feedback and feedforwar d (CFF) form. Based on the Lyapunov theory, we develop a simple procedure f or constructing a feedback controller which guarantees that the so-called L -2-gain from the exogenous input noise to the state is minimized or no larg er than a perscribed value. Finally, we stress that the design procedure do es not rely on a solution to the Hamilton-Jacobi equation or Riccati equati on.