Observer based direct adaptive fuzzy second-order-like sliding mode control for unknown nonlinear systems
This work proposes a novel observer based direct adaptive fuzzy second-order-like sliding mode control (SMC) method for a certain class of high order unknown nonlinear dynamical systems with unmeasurable states. An observer is firstly developed to estimate the tracking error vector directly, and the...
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| Veröffentlicht in: | Proceedings of the Institution of Mechanical Engineers. Part E, Journal of process mechanical engineering Journal of process mechanical engineering, 2021-04, Vol.235 (2), p.197-207 |
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| container_title | Proceedings of the Institution of Mechanical Engineers. Part E, Journal of process mechanical engineering |
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| creator | Wu, Hongzhuang Liu, Songyong Cheng, Cheng Du, Changlong |
| description | This work proposes a novel observer based direct adaptive fuzzy second-order-like sliding mode control (SMC) method for a certain class of high order unknown nonlinear dynamical systems with unmeasurable states. An observer is firstly developed to estimate the tracking error vector directly, and the stability of the observer is analyzed based on Meyer-Kalman-Yakubovich (MKY) lemma. Based on the observer, the equivalent control law is approximated by a double-input single-output fuzzy logic system (FLS), in which the observation of the sliding surface and its derivative are applied as the inputs. In addition, an adaptive switching control law is added to mitigate the system chattering and improve the stability of the system. The free parameters of the controller are adjusted online by the adaptive laws that are derived from the Lyapunov stability analysis. Finally, the convergence of the overall closed-loop system is demonstrated, and the simulation examples illustrate the efficacy of the proposed control method. |
| doi_str_mv | 10.1177/0954408920952595 |
| format | Article |
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An observer is firstly developed to estimate the tracking error vector directly, and the stability of the observer is analyzed based on Meyer-Kalman-Yakubovich (MKY) lemma. Based on the observer, the equivalent control law is approximated by a double-input single-output fuzzy logic system (FLS), in which the observation of the sliding surface and its derivative are applied as the inputs. In addition, an adaptive switching control law is added to mitigate the system chattering and improve the stability of the system. The free parameters of the controller are adjusted online by the adaptive laws that are derived from the Lyapunov stability analysis. Finally, the convergence of the overall closed-loop system is demonstrated, and the simulation examples illustrate the efficacy of the proposed control method.</description><identifier>ISSN: 0954-4089</identifier><identifier>EISSN: 2041-3009</identifier><identifier>DOI: 10.1177/0954408920952595</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Adaptive control ; Control methods ; Control stability ; Control theory ; Feedback control ; Fuzzy control ; Fuzzy logic ; Nonlinear control ; Nonlinear systems ; Sliding mode control ; Stability analysis ; Tracking errors</subject><ispartof>Proceedings of the Institution of Mechanical Engineers. 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Part E, Journal of process mechanical engineering</title><description>This work proposes a novel observer based direct adaptive fuzzy second-order-like sliding mode control (SMC) method for a certain class of high order unknown nonlinear dynamical systems with unmeasurable states. An observer is firstly developed to estimate the tracking error vector directly, and the stability of the observer is analyzed based on Meyer-Kalman-Yakubovich (MKY) lemma. Based on the observer, the equivalent control law is approximated by a double-input single-output fuzzy logic system (FLS), in which the observation of the sliding surface and its derivative are applied as the inputs. In addition, an adaptive switching control law is added to mitigate the system chattering and improve the stability of the system. The free parameters of the controller are adjusted online by the adaptive laws that are derived from the Lyapunov stability analysis. Finally, the convergence of the overall closed-loop system is demonstrated, and the simulation examples illustrate the efficacy of the proposed control method.</description><subject>Adaptive control</subject><subject>Control methods</subject><subject>Control stability</subject><subject>Control theory</subject><subject>Feedback control</subject><subject>Fuzzy control</subject><subject>Fuzzy logic</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>Sliding mode control</subject><subject>Stability analysis</subject><subject>Tracking errors</subject><issn>0954-4089</issn><issn>2041-3009</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1kM1LAzEQxYMoWKt3jwHP0SSbZDdHKX5BoRc9L2kyKdtuk5rsVtq_3l0qCIJzmYHfe2_gIXTL6D1jZflAtRSCVpoPB5danqEJp4KRglJ9jiYjJiO_RFc5r-kwgpYT1CyWGdIeEl6aDA67JoHtsHFm1zV7wL4_Hg84g43BkZgcJNI2G8C5bVwTVngbHeABdim22MeE-7AJ8SvgEEPbBDAJ50PuYJuv0YU3bYabnz1FH89P77NXMl-8vM0e58QWVHeEKSW0l4VRvlSSOUO5sKrilBeFYSU4y0peKEm9tyOVkmtqtGZWOa2VL6bo7pS7S_Gzh9zV69inMLysuRzLqYSoBhU9qWyKOSfw9S41W5MONaP1WGj9t9DBQk6WbFbwG_qv_htPrHXp</recordid><startdate>202104</startdate><enddate>202104</enddate><creator>Wu, Hongzhuang</creator><creator>Liu, Songyong</creator><creator>Cheng, Cheng</creator><creator>Du, Changlong</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><orcidid>https://orcid.org/0000-0002-2801-7969</orcidid></search><sort><creationdate>202104</creationdate><title>Observer based direct adaptive fuzzy second-order-like sliding mode control for unknown nonlinear systems</title><author>Wu, Hongzhuang ; Liu, Songyong ; Cheng, Cheng ; Du, Changlong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-16649f53a6f7651da024c6820233a17edc1723650ffc1da055290a991c6d996f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Adaptive control</topic><topic>Control methods</topic><topic>Control stability</topic><topic>Control theory</topic><topic>Feedback control</topic><topic>Fuzzy control</topic><topic>Fuzzy logic</topic><topic>Nonlinear control</topic><topic>Nonlinear systems</topic><topic>Sliding mode control</topic><topic>Stability analysis</topic><topic>Tracking errors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Hongzhuang</creatorcontrib><creatorcontrib>Liu, Songyong</creatorcontrib><creatorcontrib>Cheng, Cheng</creatorcontrib><creatorcontrib>Du, Changlong</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>Proceedings of the Institution of Mechanical Engineers. Part E, Journal of process mechanical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Hongzhuang</au><au>Liu, Songyong</au><au>Cheng, Cheng</au><au>Du, Changlong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Observer based direct adaptive fuzzy second-order-like sliding mode control for unknown nonlinear systems</atitle><jtitle>Proceedings of the Institution of Mechanical Engineers. Part E, Journal of process mechanical engineering</jtitle><date>2021-04</date><risdate>2021</risdate><volume>235</volume><issue>2</issue><spage>197</spage><epage>207</epage><pages>197-207</pages><issn>0954-4089</issn><eissn>2041-3009</eissn><abstract>This work proposes a novel observer based direct adaptive fuzzy second-order-like sliding mode control (SMC) method for a certain class of high order unknown nonlinear dynamical systems with unmeasurable states. 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| ispartof | Proceedings of the Institution of Mechanical Engineers. Part E, Journal of process mechanical engineering, 2021-04, Vol.235 (2), p.197-207 |
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| subjects | Adaptive control Control methods Control stability Control theory Feedback control Fuzzy control Fuzzy logic Nonlinear control Nonlinear systems Sliding mode control Stability analysis Tracking errors |
| title | Observer based direct adaptive fuzzy second-order-like sliding mode control for unknown nonlinear systems |
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