Finite-time H_∞ control for quasi-one-sided Lipschitz nonlinear systems

摘要

The finite-time H_∞ control problem of a class of Lipschitz nonlinear system with parameter uncertainties is studied. The nonlinear parameters are considered to satisfy the quasi-one-sided Lipschitz condition. By using Lyapunov function approach and linear matrix inequality techniques, a state feedback controller is designed to guarantee that the resulted closed-loop system is finite-time bounded and satisfies a given H_∞ constraint condition. And the designed algorithm is described as an optimization one. Simulation results illustrate the validity of the proposed approach.