摘要
In this paper,we consider decentralised control of a nonlinear fractional-order composite system and show novel sufficient conditions for the asymptotic stabilisation of the fractional-order composite system by a set of local state feedback controllers.First,we design a local state feedback controller for each nonlinear fractional-order subsystem and a Lyapunov function that guarantees the stabilisation of the isolated nonlinear fractional-order subsystem by the controller.Then,we construct a vector Lyapunov function from the set of the Lyapunov functions,and show the stabilisation of the nonlinear fractional-order composite system.Finally,two numerical simulation examples of the nonlinear fractional-order composite systems are performed to show the correctness and usefulness of the proposed decentralised control.
基金
Lvliang Development Zone High-level Science and Technology Talent Introduction Program(No.Rc2020-116)
The educational reform project of Shanxi Provincial Department(No.J2020360)
Science and technology innovation project of Shanxi Colleges and Universities(2019L0938).
