Output regulation of linear systems with bounded continuous feedback

This paper studies the classical problem of output regulation for linear systems subject to control constraint. The asymptotically regulatable region, the set of all initial conditions of the plant and the exosystem for which output regulation is possible, is characterized in terms of the null contr...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 49; no. 11; pp. 1941 - 1953
Main Authors Hu, T., Lin, Z.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.11.2004
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Applied sciences
Asymptotic properties
Bounded control
Computer science; control theory; systems
Control
Control systems
Control theory
Control theory. Systems
Exact sciences and technology
Feedback
Law
Linear feedback control systems
Linear systems
nonlinear control
Nonlinear control systems
Nonlinear systems
Open loop systems
Output feedback
output regulation
regulatable region
State feedback
State-space methods
Bounded control
State feedback
Control constraint
Continuous control
Global stabilization
Feedback regulation
Asymptotic approximation
Domain of attraction
Null controllability
Linear control
Output feedback
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Summary:This paper studies the classical problem of output regulation for linear systems subject to control constraint. The asymptotically regulatable region, the set of all initial conditions of the plant and the exosystem for which output regulation is possible, is characterized in terms of the null controllable region of the antistable subsystem of the plant. Continuous output regulation laws, of both state feedback type and error feedback type, are constructed from a given stabilizing state feedback law. It is shown that a stabilizing feedback law that achieves a larger domain of attraction leads to a feedback law that achieves output regulation on a larger subset of the asymptotically regulatable region. A feedback law that achieves global stabilization on the asymptotically null controllable region leads to a feedback law that achieves output regulation on the entire asymptotically regulatable region.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2004.837591