Finite-time control analysis for nonlinear fractional-order systems

Thời gian: 14:00 đến 17:00 Ngày 10/04/2018

Địa điểm: B4-705, VIASM

Tóm tắt:

This paper deals with finite-time control problem for nonlinear fractional-order systems. We first derive sufficient conditions for robust finite-time stabilization based on the fractional calculus and Lyapunov function method. Then, by introducing a new type of the cost control functional we study guaranteed cost control problem for nonlinear fractional-order systems. In terms of linear
matrix inequalities (LMIs), an explicit expression for state feedback controllers is designed to make the closed-loop system finite-time stable and to guarantee an adequate cost level of the performance. With the method proposed in this paper, we can analyze and design feedback controllers for fractional-order systems with similar way to the integer-order systems. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results.