Disturbance Observer-Based Input-Output Finite-Time Control of a Class of Nonlinear Systems

Abstract EN

This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances.

Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system.

Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of the closed-loop system are attained.

Such conditions can be converted into linear matrix inequalities (LMIs).

Finally, two examples are given to show the effectiveness of the proposed method.