Global Stabilization of the Generalized MIMO Triangular Systems With Singular Input-Output Links

This work is devoted to the problem of global stabilization for a class of the general multi-input and multi-output (MIMO) triangular systems which are not feedback linearizable. To solve the problem, we develop a specific backstepping procedure and generalize some existing results. Since we deal wi...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2009-08, Vol.54 (8), p.1794-1806
Main Authors: Pavlichkov, S.S., Ge, S.S.
Format: Article
Language:English
Subjects:
Adaptive control
Algorithms
Applied sciences
Automatic control
Backstepping
Computer science
control theory
systems
Control systems
Control theory
Control theory. Systems
Exact sciences and technology
Feedback
Feedback linearization
global stabilization
Informatics
Integral equations
Links
Mathematics
MIMO
nonlinear control
Nonlinear systems
Polynomials
Stabilization
triangular form
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Summary:This work is devoted to the problem of global stabilization for a class of the general multi-input and multi-output (MIMO) triangular systems which are not feedback linearizable. To solve the problem, we develop a specific backstepping procedure and generalize some existing results. Since we deal with the global stabilization for the singular and MIMO case, the technique of the proof differs from the standard backstepping algorithms.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2009.2024566