Generation of stable limit cycles in nonlinear sandwich systems with dead-zone nonlinearity and input saturation |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan 250100, China;2. School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo 255000, China;1. School of Mathematics and Systems science, Shandong University of Science and Technology, Qingdao 266590, China;2. Shandong University of Science and Technology, Jinan 250031, China;1. School of Electrical Engineering and Computer Science, Washington State University, Pullman WA, USA;2. College of Information Science and Engineering, Northeastern University, Shenyang, China;3. Department of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, the Netherlands |
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| Abstract: | This paper is concerned with the problem of generating stable limit cycles for a class of nonlinear sandwich systems with the sandwiched dead-zone nonlinearity. In this study, the considered sandwich systems are restricted to the potential problems of non-symmetric input saturation nonlinearity and unknown parameters. In this regard, based on the set stabilization approach and the shape of the desired limit cycle, an adaptive state feedback controller is constructed by using the backstepping technique in such a way that forces the system's output to oscillate with the wanted amplitude and frequency. Besides, to estimate the value of unknown parameters, the adaptive laws are extracted and the problem of the explosion of complexity in the traditional backstepping approach is solved via an effective differentiator. The Lyapunov stability analysis proves that all signals of the closed-loop system keep bounded. Finally, the simulation results of a practical example are provided to demonstrate the effectiveness of the proposed method. |
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