Robust disturbance rejection in modified repetitive control system
This study concerns disturbance rejection for a modified repetitive control system (MRCS) that contains a strictly proper plant with time-varying uncertainties. Since an MRCS is affected by both periodic and aperiodic disturbances, and since the disturbances are often unknown, an equivalent-input-di...
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| Veröffentlicht in: | Systems & control letters 2014-08, Vol.70, p.100-108 |
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| creator | Liu, Rui-Juan Liu, Guo-Ping Wu, Min She, Jinhua Nie, Zhuo-Yun |
| description | This study concerns disturbance rejection for a modified repetitive control system (MRCS) that contains a strictly proper plant with time-varying uncertainties. Since an MRCS is affected by both periodic and aperiodic disturbances, and since the disturbances are often unknown, an equivalent-input-disturbance (EID)-based estimator was added to an MRCS to yield an EID-based MRCS that compensates for all types of disturbances. In this system, the repetitive controller ensures tracking of a periodic reference input, and the incorporation of an EID estimate into the control input enables rejection of unknown periodic and aperiodic disturbances. A robust stability condition for the MRCS was established in the form of a linear matrix inequality, and the condition was used to design the parameters of the controller. This design method handles uncertainties and enables the preferential adjustment of the tracking and control performance of the MRCS. Simulation results demonstrate the validity of the method. |
| doi_str_mv | 10.1016/j.sysconle.2014.06.001 |
| format | Article |
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Since an MRCS is affected by both periodic and aperiodic disturbances, and since the disturbances are often unknown, an equivalent-input-disturbance (EID)-based estimator was added to an MRCS to yield an EID-based MRCS that compensates for all types of disturbances. In this system, the repetitive controller ensures tracking of a periodic reference input, and the incorporation of an EID estimate into the control input enables rejection of unknown periodic and aperiodic disturbances. A robust stability condition for the MRCS was established in the form of a linear matrix inequality, and the condition was used to design the parameters of the controller. This design method handles uncertainties and enables the preferential adjustment of the tracking and control performance of the MRCS. 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Since an MRCS is affected by both periodic and aperiodic disturbances, and since the disturbances are often unknown, an equivalent-input-disturbance (EID)-based estimator was added to an MRCS to yield an EID-based MRCS that compensates for all types of disturbances. In this system, the repetitive controller ensures tracking of a periodic reference input, and the incorporation of an EID estimate into the control input enables rejection of unknown periodic and aperiodic disturbances. A robust stability condition for the MRCS was established in the form of a linear matrix inequality, and the condition was used to design the parameters of the controller. This design method handles uncertainties and enables the preferential adjustment of the tracking and control performance of the MRCS. Simulation results demonstrate the validity of the method.</description><subject>Aperiodic disturbance</subject><subject>Control systems</subject><subject>Design engineering</subject><subject>Disturbance rejection</subject><subject>Disturbances</subject><subject>Equivalence</subject><subject>Equivalent input disturbance (EID)</subject><subject>Linear matrix inequality (LMI)</subject><subject>Rejection</subject><subject>Repetitive control</subject><subject>Robust control</subject><subject>State observer</subject><subject>Tracking</subject><subject>Uncertainty</subject><issn>0167-6911</issn><issn>1872-7956</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LxDAQhoMouH78BenRS-skbZPmpi5-wYIgeg5pM4WUtlmTdGH_vVlWzx6GgeGd9515CLmhUFCg_G4owj50bh6xYECrAngBQE_IijaC5ULW_JSsklDkXFJ6Ti5CGACAQVmuyOOHa5cQM2NDXHyr5w4zjwN20bo5s3M2OWN7iyZNtxhttDvMUlj0bsxSbsTpipz1egx4_dsvydfz0-f6Nd-8v7ytHzZ5V1Ea81abrtZUVrLnjUBgUlfpBlHyujKHanjLjDFS15LJRph0o5AAEmqgrGTlJbk9-m69-14wRDXZ0OE46hndEhSta8m5KKlMUn6Udt6F4LFXW28n7feKgjpAU4P6g6YO0BRwlaClxfvjIqZHdha9Cp3FBMVYn5go4-x_Fj96n3iq</recordid><startdate>20140801</startdate><enddate>20140801</enddate><creator>Liu, Rui-Juan</creator><creator>Liu, Guo-Ping</creator><creator>Wu, Min</creator><creator>She, Jinhua</creator><creator>Nie, Zhuo-Yun</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TA</scope><scope>8FD</scope><scope>JG9</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-3165-5045</orcidid></search><sort><creationdate>20140801</creationdate><title>Robust disturbance rejection in modified repetitive control system</title><author>Liu, Rui-Juan ; Liu, Guo-Ping ; Wu, Min ; She, Jinhua ; Nie, Zhuo-Yun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c411t-badc5a1949f687e029a420373654d654d86b2ddd9a592987d0007900905012323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Aperiodic disturbance</topic><topic>Control systems</topic><topic>Design engineering</topic><topic>Disturbance rejection</topic><topic>Disturbances</topic><topic>Equivalence</topic><topic>Equivalent input disturbance (EID)</topic><topic>Linear matrix inequality (LMI)</topic><topic>Rejection</topic><topic>Repetitive control</topic><topic>Robust control</topic><topic>State observer</topic><topic>Tracking</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Rui-Juan</creatorcontrib><creatorcontrib>Liu, Guo-Ping</creatorcontrib><creatorcontrib>Wu, Min</creatorcontrib><creatorcontrib>She, Jinhua</creatorcontrib><creatorcontrib>Nie, Zhuo-Yun</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Materials Business File</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Systems & control letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Rui-Juan</au><au>Liu, Guo-Ping</au><au>Wu, Min</au><au>She, Jinhua</au><au>Nie, Zhuo-Yun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Robust disturbance rejection in modified repetitive control system</atitle><jtitle>Systems & control letters</jtitle><date>2014-08-01</date><risdate>2014</risdate><volume>70</volume><spage>100</spage><epage>108</epage><pages>100-108</pages><issn>0167-6911</issn><eissn>1872-7956</eissn><abstract>This study concerns disturbance rejection for a modified repetitive control system (MRCS) that contains a strictly proper plant with time-varying uncertainties. Since an MRCS is affected by both periodic and aperiodic disturbances, and since the disturbances are often unknown, an equivalent-input-disturbance (EID)-based estimator was added to an MRCS to yield an EID-based MRCS that compensates for all types of disturbances. In this system, the repetitive controller ensures tracking of a periodic reference input, and the incorporation of an EID estimate into the control input enables rejection of unknown periodic and aperiodic disturbances. A robust stability condition for the MRCS was established in the form of a linear matrix inequality, and the condition was used to design the parameters of the controller. This design method handles uncertainties and enables the preferential adjustment of the tracking and control performance of the MRCS. Simulation results demonstrate the validity of the method.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.sysconle.2014.06.001</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0003-3165-5045</orcidid></addata></record> |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Aperiodic disturbance Control systems Design engineering Disturbance rejection Disturbances Equivalence Equivalent input disturbance (EID) Linear matrix inequality (LMI) Rejection Repetitive control Robust control State observer Tracking Uncertainty |
| title | Robust disturbance rejection in modified repetitive control system |
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