Controlling The Uncertain Time-Delayed Lipschitz Nonlinear System: The Finite-time Non-fragile Design Approach

The finite-time non-fragile H
_∞
controller design problem of a class of Lipschitz nonlinear systems with uncertainties and time-delays is studied. The objective is to design a suitable non-fragile controller which makes the Lipschitz nonlinear system be finite-time bounded and satisfies the given H
_∞
performance index. By choosing a proper Lyapunov function and using linear matrix inequalities, a sufficient condition for the existence of finite-time non-fragile H
_∞
controller is given and proved. Then, the designed method is described as an optimization one. Finally, the effectiveness and feasibility of the proposed design method is illustrated by the simulation result.