Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi–Sugeno’s form
This paper studies output feedback stabilization of Takagi–Sugeno fuzzy systems with input or state constraint and bounded noise. A dynamic output feedback controller is adopted, rather than a controller based on the state observer. The notion of quadratic boundedness specified by a common Lyapunov...
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| Veröffentlicht in: | Automatica (Oxford) 2009-09, Vol.45 (9), p.2093-2098 |
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| container_end_page | 2098 |
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| container_title | Automatica (Oxford) |
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| creator | Ding, Baocang |
| description | This paper studies output feedback stabilization of Takagi–Sugeno fuzzy systems with input or state constraint and bounded noise. A dynamic output feedback controller is adopted, rather than a controller based on the state observer. The notion of quadratic boundedness specified by a common Lyapunov matrix, which is novel in fuzzy control, is invoked to handle the noise. Under the proposed controller, the state of the closed-loop system is stabilizing to an ellipsoid specified by this common Lyapunov matrix. Two numerical examples are given to show the effectiveness of the controller. |
| doi_str_mv | 10.1016/j.automatica.2009.05.017 |
| format | Article |
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Systems</subject><subject>Dynamical systems</subject><subject>Ellipsoids</subject><subject>Exact sciences and technology</subject><subject>Fuzzy control</subject><subject>Modelling and identification</subject><subject>Noise</subject><subject>Nonlinear dynamics</subject><subject>Output feedback</subject><subject>Quadratic boundedness</subject><subject>Stability</subject><subject>Stabilization</subject><subject>State observers</subject><issn>0005-1098</issn><issn>1873-2836</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFUMuO1DAQtBBIDAv_4AsSlwS_kjhHWPGSVkKI5Wx17M7Ks4k92M5Kc9t_4MTv7Zfg0azgyKkfqurqKkIoZy1nvH-7b2ErcYXiLbSCsbFlXcv48ITsuB5kI7Tsn5IdY6xrOBv1c_Ii530dFddiR-K3DVw6sekUt-DQBcyZ3nmg7hhgrfu4lcNW6IzoJrC3dI6J2hhySeADOhpiWGoDieZjLrhm6gO9hlu48Q_3v75vNxjiw_3vfCKuL8mzGZaMrx7rBfnx8cP15efm6uunL5fvrhorNS9NL6TVOI4WtVSDBadGDQrmDrUQOFRnMMHUy6njlisrhRRKK9VN1k796EBekDfnu4cUf26Yi1l9trgsEDBu2fB-4GoQig0Vqs9Qm2LOCWdzSH6FdDScmVPGZm_-ZWxOGRvWmZpxpb5-VIFsYZkTBOvzX76of469UhX3_ozDavnOYzLZegwWnU9oi3HR_1_sD-Vom_M</recordid><startdate>20090901</startdate><enddate>20090901</enddate><creator>Ding, Baocang</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20090901</creationdate><title>Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi–Sugeno’s form</title><author>Ding, Baocang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-623c8e99ce8347cad498a4af5e822e7187abab63b51c14c323248445bccb69da3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Constrained systems</topic><topic>Control systems</topic><topic>Control theory. 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| ispartof | Automatica (Oxford), 2009-09, Vol.45 (9), p.2093-2098 |
| issn | 0005-1098 1873-2836 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Applied sciences Computer science control theory systems Constrained systems Control systems Control theory. Systems Dynamical systems Ellipsoids Exact sciences and technology Fuzzy control Modelling and identification Noise Nonlinear dynamics Output feedback Quadratic boundedness Stability Stabilization State observers |
| title | Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi–Sugeno’s form |
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