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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Bibliographic Details
Published in:IEEE transactions on automatic control 1996-09, Vol.41 (9), p.1271-1282
Main Authors: Kolmanovsky, I., McClamroch, N.H.
Format: Article
Language:English
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
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.536497