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Finite-time command filter-based adaptive fuzzy tracking control for stochastic nonlinear induction motors systems with unknown backlash-like hysteresis
Institution:1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China;2. Department of Systems and Computer Engineering, Carleton University, Ottawa, ON K1S 5B6, Canada;3. College of Mathematical Sciences, Bohai University, Jinzhou 121000, China;1. School of Artificial Intelligence, Shenyang University of Technology, Shenyang, Liaoning, 110870, China;2. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, China;1. Department of Automation, Chongqing University, Chongqing, 400044, China;2. Department of Automation, Tsinghua University, Beijing, 100084, China;1. School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China;2. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China;1. College of Civil and Transportation Engineering, Hohai University, Nanjing 210000, China;2. College of Civil Engineering, Anhui Jianzhu University, Hefei 230000, China;1. Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. School of Automation, Beijing Institute of Technology, Beijing 100081, China;3. State Key Laboratory of IoTSC, University of Macau, Taipa, Macau
Abstract:In this article, an adaptive fuzzy control method is proposed for induction motors (IMs) drive systems with unknown backlash-like hysteresis. First, the stochastic nonlinear functions existed in the IMs drive systems are resolved by invoking fuzzy logic systems. Then, a finite-time command filter technique is exploited to overcome the obstacle of “explosion of complexity” emerged in the classical backstepping procedure during the controller design process. Meanwhile, the effect of the filter errors generated by command filters is decreased by utilizing corresponding error compensating mechanism. To cope with the influence of backlash-like hysteresis input, an auxiliary system is constructed, in which the output signal is applied to compensate the effect of the hysteresis. The finite-time control technology is adopted to accelerate the response speed of the system and reduce the tracking error, and the stochastic disturbance and backlash-like hysteresis are considered to improve control accuracy. It’s shown that the tracking error can converge to a small neighborhood around the origin in finite-time under the constructed controller. Finally, the availability of the presented approach is validated through simulation results.
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