Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems
This paper considers the stability of high-order PID-type iterative learning control law for a class of nonlinear switched systems with state delays and arbitrary switched rules, which perform a given task repeatedly. The stability condition for the proposed high-order learning control law is first...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/684642 |
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| _version_ | 1832566825341157376 |
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| author | Xuhui Bu Fashan Yu Ziyi Fu Fuzhong Wang |
| author_facet | Xuhui Bu Fashan Yu Ziyi Fu Fuzhong Wang |
| author_sort | Xuhui Bu |
| collection | DOAJ |
| description | This paper considers the stability of high-order PID-type iterative learning control law for a class of nonlinear switched systems with state delays and arbitrary switched rules, which perform a given task repeatedly. The stability condition for the proposed high-order learning control law is first established, and then the stability is analyzed based on contraction mapping approach in the sense of λ norm. It is shown that the proposed iterative learning control law can guarantee the asymptotic convergence of the tracking error for the entire time interval through the iterative learning process. Two examples are given to illustrate the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-708dc90a9fed47b29b43f4122c6309d2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-708dc90a9fed47b29b43f4122c6309d22025-02-03T01:03:02ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/684642684642Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched SystemsXuhui Bu0Fashan Yu1Ziyi Fu2Fuzhong Wang3School of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, ChinaThis paper considers the stability of high-order PID-type iterative learning control law for a class of nonlinear switched systems with state delays and arbitrary switched rules, which perform a given task repeatedly. The stability condition for the proposed high-order learning control law is first established, and then the stability is analyzed based on contraction mapping approach in the sense of λ norm. It is shown that the proposed iterative learning control law can guarantee the asymptotic convergence of the tracking error for the entire time interval through the iterative learning process. Two examples are given to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2013/684642 |
| spellingShingle | Xuhui Bu Fashan Yu Ziyi Fu Fuzhong Wang Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems Abstract and Applied Analysis |
| title | Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems |
| title_full | Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems |
| title_fullStr | Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems |
| title_full_unstemmed | Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems |
| title_short | Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems |
| title_sort | stability analysis of high order iterative learning control for a class of nonlinear switched systems |
| url | http://dx.doi.org/10.1155/2013/684642 |
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