title: Stabilization of chaos systems described by nonlinear fractional-order polytopic differential inclusion.
abstract: In this paper, sliding mode control is utilized for stabilization of a particular class of nonlinear polytopic differential inclusion systems with fractional-order-0 < q < 1. This class of fractional order differential inclusion systems is used to model physical chaotic fractional order Chen and Lu systems. By defining a sliding surface with fractional integral formula, exploiting the concept of the state space norm, and obtaining sufficient conditions for stability of the sliding surface, a special feedback law is presented which enables the system states to reach the sliding surface and consequently creates a sliding mode control. Finally, simulation results are used to illustrate the effectiveness of the proposed method.
authors.affiliation: Gonabad Branch, Islamic Azad University, Gonabad, Iran. saeed.balochian@gmail.com
authors.forename: Saeed
authors.initials: S
authors.lastname: Balochian
authors.forename: Ali Khaki
authors.initials: AK
authors.lastname: Sedigh
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D017276:Friction; D009038:Motion; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*