Hybrid feedback laws for a class of cascade nonlinear control systems

A stabilization problem for a class of nonlinear control systems is considered. Systems in this class can be viewed as a cascade connection of a linear time-invariant subsystem, a nonlinear time-periodic static subsystem, and an integrator. Hybrid logic-based feedback controllers are constructed to...

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Veröffentlicht in:	IEEE transactions on automatic control 1996-09, Vol.41 (9), p.1271-1282
Hauptverfasser:	Kolmanovsky, I., McClamroch, N.H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptive control Applied sciences Computer science control theory systems Control system synthesis Control systems Control theory. Systems Exact sciences and technology Kinematics Laboratories Matrix converters Nonlinear control systems Space vehicles State feedback Transmission line matrix methods Vehicle dynamics
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container_title	IEEE transactions on automatic control
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creator	Kolmanovsky, I. McClamroch, N.H.
description	A stabilization problem for a class of nonlinear control systems is considered. Systems in this class can be viewed as a cascade connection of a linear time-invariant subsystem, a nonlinear time-periodic static subsystem, and an integrator. Hybrid logic-based feedback controllers are constructed to globally stabilize these systems to the origin. The controllers operate by switching between various time-periodic control functions at discrete-time instants. As specific applications, we consider stabilization of nonholonomic control systems in power form to the origin and stabilization of trajectories for a class of nonlinear control systems. Numerical examples of global stabilization and tracking are reported.
doi_str_mv	10.1109/9.536497
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Systems in this class can be viewed as a cascade connection of a linear time-invariant subsystem, a nonlinear time-periodic static subsystem, and an integrator. Hybrid logic-based feedback controllers are constructed to globally stabilize these systems to the origin. The controllers operate by switching between various time-periodic control functions at discrete-time instants. As specific applications, we consider stabilization of nonholonomic control systems in power form to the origin and stabilization of trajectories for a class of nonlinear control systems. Numerical examples of global stabilization and tracking are reported.</description><subject>Adaptive control</subject><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control system synthesis</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Exact sciences and technology</subject><subject>Kinematics</subject><subject>Laboratories</subject><subject>Matrix converters</subject><subject>Nonlinear control systems</subject><subject>Space vehicles</subject><subject>State feedback</subject><subject>Transmission line matrix methods</subject><subject>Vehicle dynamics</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNqN0E1LAzEQBuAgCtYqePaUg4iXrfnYZJOjlGqFghc9L9nsBFbTTc20SP-9W7b07GkY5pn38BJyy9mMc2af7ExJXdrqjEy4UqYQSshzMmGMm8IKoy_JFeLXsOqy5BOyWO6b3LU0ALSN8980ul-kIWXqqI8OkaZAvUPvWqB96mPXg8vUp36bU6S4xy2s8ZpcBBcRbo5zSj5fFh_zZbF6f32bP68KL6XaFrwRQjPdSi8U-MpAUEZxyXjjQqgqLWxjOTOyKVupvRW6FC6w4aEE5o0VckoextxNTj87wG297tBDjK6HtMNaGGOt0vYfUEpTST7AxxH6nBAzhHqTu7XL-5qz-lBobeux0IHeHzMPdcSQXe87PHkpyspoPbC7kXUAcLoeM_4A0C97XA</recordid><startdate>19960901</startdate><enddate>19960901</enddate><creator>Kolmanovsky, I.</creator><creator>McClamroch, N.H.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>H8D</scope></search><sort><creationdate>19960901</creationdate><title>Hybrid feedback laws for a class of cascade nonlinear control systems</title><author>Kolmanovsky, I. ; McClamroch, N.H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c335t-1b22606d3c25ec78ef5851301baff77629b91083b4d36c92642af006d4e0c8923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Adaptive control</topic><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control system synthesis</topic><topic>Control systems</topic><topic>Control theory. 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subjects	Adaptive control Applied sciences Computer science control theory systems Control system synthesis Control systems Control theory. Systems Exact sciences and technology Kinematics Laboratories Matrix converters Nonlinear control systems Space vehicles State feedback Transmission line matrix methods Vehicle dynamics
title	Hybrid feedback laws for a class of cascade nonlinear control systems
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