A simple method of chaos control for a class of chaotic discrete-time systems |
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| Institution: | 1. Department of Electronic Engineering, Nanjing University of Posts & Telecommunications, P.O. Box 145, Nanjing 210003, China;2. School of Quantitative Methods and Mathematical Sciences, University of Western Sydney, Penrith South DC, NSW 1797, Australia;1. School of Civil Engineering, Central South University, Changsha 410075, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;1. Department of Water Management, Delft University of Technology, 2628CN, Delft, the Netherlands;2. Department of Subsurface and Groundwater, Deltares, P.O. Box 85467, 3508 AL, Utrecht, the Netherlands;3. Department of Physical Geography, Utrecht University, 3584 CS, Utrecht, the Netherlands;1. Department of Economics and Law, Korea Military Academy, 574 Hwarang-ro, Seoul, Republic of Korea;2. School of Economic, Political & Policy Science, University of Texas at Dallas, 800 W. Campbell Rd., Richardson, TX, 75080, USA;1. The Machine Intelligence Research Group (MInG), Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi, 23460, Pakistan;2. Engineering Research Center of Intelligent Perception and Autonomous Control, Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, PR China;3. Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi, 23460, Pakistan;1. College of Electrical and Information Engineering, Hunan University, Changsha, China;2. Robert W. Galvin Center for Electricity Innovation, Illinois Institute of Technology, Chicago, USA;3. School of Electrical Engineering, Southeast University, Nanjing, China;4. College of Electrical Engineering, Zhejiang University, Hangzhou, China |
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| Abstract: | In this paper, a simple method is proposed for chaos control for a class of discrete-time chaotic systems. The proposed method is built upon the state feedback control and the characteristic of ergodicity of chaos. The feedback gain matrix of the controller is designed using a simple criterion, so that control parameters can be selected via the pole placement technique of linear control theory. The new controller has a feature that it only uses the state variable for control and does not require the target equilibrium point in the feedback path. Moreover, the proposed control method cannot only overcome the so-called “odd eigenvalues number limitation” of delayed feedback control, but also control the chaotic systems to the specified equilibrium points. The effectiveness of the proposed method is demonstrated by a two-dimensional discrete-time chaotic system. |
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