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

•The finite-time H∞H∞ problem of a class of uncertain Lipschitz nonlinear systems is proposed.•By using the Lyapunov function approach and linear matrix inequality techniques, a sufficient condition for the existence of the state feedback controller is given.•The dynamic of the resulted closed-loop system is ensured to be finite-time bounded with a prescribed H∞H∞ performance level.•Simulation results illustrate the validity of the proposed approach.

The finite-time H∞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∞H∞ constraint condition. And the designed algorithm is described as an optimization one. Simulation results illustrate the validity of the proposed approach.