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Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearities
Authors:Her-Terng Yau  Jun-Juh Yan
Affiliation:1. Department of Mathematics, Shiraz University of Technology, Shiraz, Iran;2. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA;1. Institute for Modern Economics and Management, Zhejiang Yuexiu University, Shaoxing 312000, P. R. China;2. Department of Mechanical Engineering, University of Manitoba, Winnipeg, R3T 5V6, Canada;3. Department of Banking and Finance, FEMA, University of Malta, MSD 2080, Msida, Malta;5. Department of Management, Faculty of Economics, Management & Accountancy, University of Malta, Msida, Malta;6. Department of Mathematics, Huzhou University, Huzhou 313000, PR China;7. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science Technology, Changsha 410114, PR China;8. Department of Mechanical Engineering, College of Engineering, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia
Abstract:The paper is concerned with the problem of robust stabilization for uncertain large-scale time-varying delayed systems with input nonlinearities. Based on the sliding mode control, a memoryless decentralized adaptive sliding mode controller (DASMC) is developed. The proposed controller ensures the occurrence of the sliding manifold of the composite system even subjected to input nonlinearity. It shows that the uncertain nonlinear large-scale system also possesses the property of insensitivity to uncertainties and disturbances as a linear system does. A numerical example is given to verify the validity of the developed memoryless DASMC.
Keywords:
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