Control of an uncertain fractional order economic system via adaptive sliding mode

Authors:
Zhen Wang;Xia Huang;Hao Shen
Affiliations:
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China and College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao ...;Key Laboratory of Robotics and Intelligent Technology, College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266590, China;School of Electrical Engineering and Information, Anhui University of Technology, Ma'anshan 243002, China
Venue:
Neurocomputing
Year:
2012

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Abstract

This paper addresses the design of sliding mode controller (SMC) for an uncertain chaotic fractional order economic system. A new fraction-integer integral switching surface is constructed to facilitate stability analysis of the closed-loop system. A sliding mode controller is developed to guarantee that sliding mode motion exists on every point of the switching surface and any state outside the surface is driven to reach the surface in a finite time. Moreover, an adaptive SMC is designed in the case that the upper bound of the uncertainties is unknown. Numerical simulations are performed to verify the feasibility and effectiveness of the proposed controllers.