Data filtering-based multi-innovation forgetting gradient algorithms for input nonlinear FIR-MA systems with piecewise-linear characteristics |
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| Institution: | 1. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, PR China;2. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China;3. School of Science, Xi’an Jiaotong Liverpool University, Suzhou 215123, PR China;1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, PR China;3. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China;4. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu 215500, Jiangsu, PR China;2. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, PR China;1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, PR China;3. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China;4. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, PR China;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | The piecewise-linear characteristics often appear in the nonlinear systems that operate in different ways in different input regions. This paper studies the identification issue of a class of block-oriented systems with piecewise-linear characteristics. The asymmetric piecewise-linear nonlinearity is expressed as a linear parametric representation through introducing an appropriate switching function, then the identification model of the system is derived by using the key term separation technique. On this model basis, a multi-innovation forgetting gradient algorithm is presented to estimate the unknown parameters. To further enhance the identification accuracy, the filtering identification model of the system is derived by changing the structure of the system without changing the relationship between the input and output. Further, a data filtering-based multi-innovation forgetting gradient algorithm is proposed through the use of the data filtering technique. A simulation example is employed to illustrate that the proposed approaches are effective for parameter estimation and the data filtering-based multi-innovation forgetting gradient algorithm has better estimation performance. |
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