Finite-time robust control of a class of fractional-delay nonlinear systems

摘要

The paper studies the finite-time H∞ control problem for fractional-delay nonlinear systems based on the Lyapunov function method. In the paper, we first present an equivalent form of the system by applying orthogonal decomposition method, and then with the equivalent form and finite-time stability criterion existing, we give an H∞ control result on the finite-time problem of the systems by using a special Lyapunov function, and propose a control design procedure. Finally, a specific example shows the effectiveness of the method presented in this paper. Different from existing ones, the paper gives a robust control result, which implies that it has wide application.