On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators
This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L/sub p/ stab...
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Published in | IEEE transactions on automatic control Vol. 45; no. 6; pp. 1042 - 1052 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.06.2000
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
Online Access | Get full text |
ISSN | 0018-9286 1558-2523 |
DOI | 10.1109/9.863591 |
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Abstract | This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L/sub p/ stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L/sub p/ gain of the closed-loop system arbitrarily small. |
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AbstractList | This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L(p) stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L(p) gain of the closed-loop system arbitrarily small This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L sub(p) stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L sub(p) gain of the closed-loop system arbitrarily small This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L(p) stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L(p) gain of the closed-loop system arbitrarily small. (Author) This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L/sub p/ stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L/sub p/ gain of the closed-loop system arbitrarily small. |
Author | Stoorvogel, A.A. Ping Hou Saberi, A. |
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References | ref13 ref12 ref23 teel (ref2) 1992 ref14 ref20 kato (ref21) 1976 ref1 ref17 megretski (ref5) 1996; d ref16 ref19 ref18 ref8 ref7 ref4 ref3 lin (ref15) 1993 ref6 liu (ref10) 1993 lin (ref11) 1997; 42 hou (ref9) 1997 |
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SubjectTerms | Actuators Asymptotic properties Asymptotic stability Computer science Control systems Costs Design methodology Design parameters Gain Hydraulic actuators Linear systems Mathematical analysis Mathematics Scheduling Stabilization State feedback |
Title | On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators |
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