Robust output feedback controller design of discrete-time Takagi–Sugeno fuzzy systems: a non-monotonic Lyapunov approach
This study proposes a robust dynamic output feedback controller design for a class of discrete-time non-linear systems described by Takagi–Sugeno (T–S) fuzzy models using a non-monotonic Lyapunov approach. In the non-monotonic Lyapunov approach, the monotonicity requirement of the standard Lyapunov...
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| Veröffentlicht in: | IET control theory & applications 2016-03, Vol.10 (5), p.545-553 |
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| creator | Nasiri, Alireza Kiong Nguang, Sing Swain, Akshya J. Almakhles, Dhafer |
| description | This study proposes a robust dynamic output feedback controller design for a class of discrete-time non-linear systems described by Takagi–Sugeno (T–S) fuzzy models using a non-monotonic Lyapunov approach. In the non-monotonic Lyapunov approach, the monotonicity requirement of the standard Lyapunov approach is not required. Based on the non-monotonic Lyapunov approach, sufficient conditions for the existence of an output stabilising feedback controller for discrete T–S fuzzy systems with and without uncertainties are derived in terms of linear matrix inequalities. The proposed design significantly reduces the conservativeness of the existing output feedback controller designs. An numerical example is used to illustrate the effectiveness of the proposed design. |
| doi_str_mv | 10.1049/iet-cta.2015.0750 |
| format | Article |
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Almakhles, Dhafer</creator><creatorcontrib>Nasiri, Alireza ; Kiong Nguang, Sing ; Swain, Akshya ; J. Almakhles, Dhafer</creatorcontrib><description>This study proposes a robust dynamic output feedback controller design for a class of discrete-time non-linear systems described by Takagi–Sugeno (T–S) fuzzy models using a non-monotonic Lyapunov approach. In the non-monotonic Lyapunov approach, the monotonicity requirement of the standard Lyapunov approach is not required. Based on the non-monotonic Lyapunov approach, sufficient conditions for the existence of an output stabilising feedback controller for discrete T–S fuzzy systems with and without uncertainties are derived in terms of linear matrix inequalities. The proposed design significantly reduces the conservativeness of the existing output feedback controller designs. 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Almakhles, Dhafer</creatorcontrib><title>Robust output feedback controller design of discrete-time Takagi–Sugeno fuzzy systems: a non-monotonic Lyapunov approach</title><title>IET control theory & applications</title><description>This study proposes a robust dynamic output feedback controller design for a class of discrete-time non-linear systems described by Takagi–Sugeno (T–S) fuzzy models using a non-monotonic Lyapunov approach. In the non-monotonic Lyapunov approach, the monotonicity requirement of the standard Lyapunov approach is not required. Based on the non-monotonic Lyapunov approach, sufficient conditions for the existence of an output stabilising feedback controller for discrete T–S fuzzy systems with and without uncertainties are derived in terms of linear matrix inequalities. The proposed design significantly reduces the conservativeness of the existing output feedback controller designs. An numerical example is used to illustrate the effectiveness of the proposed design.</description><subject>control system synthesis</subject><subject>Controllers</subject><subject>Design engineering</subject><subject>discrete time systems</subject><subject>discrete T–S fuzzy system</subject><subject>discrete‐time nonlinear system</subject><subject>discrete‐time Takagi–Sugeno fuzzy system</subject><subject>Dynamic tests</subject><subject>Dynamical systems</subject><subject>feedback</subject><subject>Fuzzy</subject><subject>fuzzy control</subject><subject>Fuzzy systems</subject><subject>linear matrix inequalities</subject><subject>linear matrix inequality</subject><subject>Lyapunov methods</subject><subject>monotonicity requirement</subject><subject>nonlinear control systems</subject><subject>Nonlinear dynamics</subject><subject>nonmonotonic Lyapunov approach</subject><subject>Output feedback</subject><subject>output stabilising feedback controller</subject><subject>robust control</subject><subject>robust dynamic output feedback controller design</subject><subject>robust output feedback controller design</subject><subject>sufficient condition</subject><subject>Takagi–Sugeno fuzzy model</subject><subject>T–S fuzzy model</subject><issn>1751-8644</issn><issn>1751-8652</issn><issn>1751-8652</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqFkMtO3DAUhiNUJCj0Adh52S4yteM4F3Z0xE0aqVKZri3bOZ4GEjv1BZRZ8Q68YZ-kHg2quqjK6pzF_51f58uyM4IXBJft5x5CroJYFJiwBa4ZPsiOSc1I3lSsePdnL8uj7L339xgzVpXsONt-szL6gGwMUwxIA3RSqAekrAnODgM41IHvNwZZjbreKwcB8tCPgNbiQWz6X88vd3EDxiIdt9sZ-dkHGP05EshYk4_W2GBNr9BqFlM09hGJaXJWqB-n2aEWg4cPr_Mk-351uV7e5Kuv17fLi1WuKCVFrlXdUKpp1xRMyg7LVkvGNJVARV2JUhaagWwbAIl12-pSYJAV0UzihhFW0ZPs4_5uqv0ZwQc-pj9gGIQBGz0nDWWsbWpKUpTso8pZ7x1oPrl-FG7mBPOdZ5488-SZ7zzznefEnO-Zp36A-W2AL9c3xZcrjElVJDjfw7vYvY3OJBP_Lfv0j_zt5TpdvfirY-o0_Q2T4aUR</recordid><startdate>20160321</startdate><enddate>20160321</enddate><creator>Nasiri, Alireza</creator><creator>Kiong Nguang, Sing</creator><creator>Swain, Akshya</creator><creator>J. Almakhles, Dhafer</creator><general>The Institution of Engineering and Technology</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20160321</creationdate><title>Robust output feedback controller design of discrete-time Takagi–Sugeno fuzzy systems: a non-monotonic Lyapunov approach</title><author>Nasiri, Alireza ; Kiong Nguang, Sing ; Swain, Akshya ; J. Almakhles, Dhafer</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3312-fc7833f3d825bbd0b9fb55f3be3a76a4b2f5eb98eeb0f99f4a0eb61f5b0851563</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>control system synthesis</topic><topic>Controllers</topic><topic>Design engineering</topic><topic>discrete time systems</topic><topic>discrete T–S fuzzy system</topic><topic>discrete‐time nonlinear system</topic><topic>discrete‐time Takagi–Sugeno fuzzy system</topic><topic>Dynamic tests</topic><topic>Dynamical systems</topic><topic>feedback</topic><topic>Fuzzy</topic><topic>fuzzy control</topic><topic>Fuzzy systems</topic><topic>linear matrix inequalities</topic><topic>linear matrix inequality</topic><topic>Lyapunov methods</topic><topic>monotonicity requirement</topic><topic>nonlinear control systems</topic><topic>Nonlinear dynamics</topic><topic>nonmonotonic Lyapunov approach</topic><topic>Output feedback</topic><topic>output stabilising feedback controller</topic><topic>robust control</topic><topic>robust dynamic output feedback controller design</topic><topic>robust output feedback controller design</topic><topic>sufficient condition</topic><topic>Takagi–Sugeno fuzzy model</topic><topic>T–S fuzzy model</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nasiri, Alireza</creatorcontrib><creatorcontrib>Kiong Nguang, Sing</creatorcontrib><creatorcontrib>Swain, Akshya</creatorcontrib><creatorcontrib>J. Almakhles, Dhafer</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering 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>IET control theory & applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Nasiri, Alireza</au><au>Kiong Nguang, Sing</au><au>Swain, Akshya</au><au>J. Almakhles, Dhafer</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Robust output feedback controller design of discrete-time Takagi–Sugeno fuzzy systems: a non-monotonic Lyapunov approach</atitle><jtitle>IET control theory & applications</jtitle><date>2016-03-21</date><risdate>2016</risdate><volume>10</volume><issue>5</issue><spage>545</spage><epage>553</epage><pages>545-553</pages><issn>1751-8644</issn><issn>1751-8652</issn><eissn>1751-8652</eissn><abstract>This study proposes a robust dynamic output feedback controller design for a class of discrete-time non-linear systems described by Takagi–Sugeno (T–S) fuzzy models using a non-monotonic Lyapunov approach. In the non-monotonic Lyapunov approach, the monotonicity requirement of the standard Lyapunov approach is not required. Based on the non-monotonic Lyapunov approach, sufficient conditions for the existence of an output stabilising feedback controller for discrete T–S fuzzy systems with and without uncertainties are derived in terms of linear matrix inequalities. The proposed design significantly reduces the conservativeness of the existing output feedback controller designs. An numerical example is used to illustrate the effectiveness of the proposed design.</abstract><pub>The Institution of Engineering and Technology</pub><doi>10.1049/iet-cta.2015.0750</doi><tpages>9</tpages></addata></record> |
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| subjects | control system synthesis Controllers Design engineering discrete time systems discrete T–S fuzzy system discrete‐time nonlinear system discrete‐time Takagi–Sugeno fuzzy system Dynamic tests Dynamical systems feedback Fuzzy fuzzy control Fuzzy systems linear matrix inequalities linear matrix inequality Lyapunov methods monotonicity requirement nonlinear control systems Nonlinear dynamics nonmonotonic Lyapunov approach Output feedback output stabilising feedback controller robust control robust dynamic output feedback controller design robust output feedback controller design sufficient condition Takagi–Sugeno fuzzy model T–S fuzzy model |
| title | Robust output feedback controller design of discrete-time Takagi–Sugeno fuzzy systems: a non-monotonic Lyapunov approach |
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