Adaptive stabilization of uncertain nonholonomic systems by state and output feedback

In this paper, adaptive state feedback and output feedback control strategies are presented for a class of nonholonomic systems in chained form with drift nonlinearity and parametric uncertainties. Both control laws are developed using state scaling and backstepping techniques. In particular, novel...

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Bibliographic Details
Published in:Automatica (Oxford) 2003-08, Vol.39 (8), p.1451-1460
Main Authors: Ge, S.S., Wang, Zhuping, Lee, T.H.
Format: Article
Language:English
Subjects:
Adaptive
Applied sciences
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Nonholonomic system
Output feedback
Stabilization
State feedback
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Summary:In this paper, adaptive state feedback and output feedback control strategies are presented for a class of nonholonomic systems in chained form with drift nonlinearity and parametric uncertainties. Both control laws are developed using state scaling and backstepping techniques. In particular, novel adaptive switching is proposed to overcome the uncontrollablity problem associated with x 0( t 0)=0. Observer-based output feedback design is developed when only partial system states are measurable, and a filtered observer rather than the traditional linear observer is used to handle the technical problem due to the presence of unavailable states in the regressor matrix. The proposed control strategies can steer the system globally converge to the origin, while the estimated parameters maintain bounded.
ISSN:0005-1098
1873-2836
DOI:10.1016/S0005-1098(03)00119-5