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Zbl 1038.93079
Ge, S. S.; Wang, Zhuping; Lee, T. H.
Adaptive stabilization of uncertain nonholonomic systems by state and output feedback. (English)
[J] Automatica 39, No. 8, 1451-1460 (2003). ISSN 0005-1098

This paper addresses constructive adaptive state feedback control strategies for stabilizing a class of uncertain non-holonomic chained systems without imposing any restrictions on the system order or the growth of drift nonlinearities. Control laws are developed that use state scaling and backstepping. An innovative adaptive switching approach is proposed to prevent possible escape to infinity in finite time of system states and to guarantee boundedness of all signals in the system. A nonlinear observer-based output feedback design is proposed when only partial system states are measurable. A filtered observer rather than the customary linear observer is used to handle technical problems associated with the presence of unavailable states in the regressor matrix. The authors prove that all system states converge globally to the origin and that the estimated parameters remain bounded. Simulation results with a bilinear model of a mobile robot demonstrate the effectiveness of the authors' approach.
[William J. Satzer jun. (St. Paul, Minnesota)]

MSC 2000:: *93D21 Adaptive and robust stabilization
70F25 Nonholonomic systems
93C85 Automated control systems

Keywords: adaptive stabilization; nonholonomic chained system; state feedback; output feedback; state scaling; backstepping; switching; filtered observer; bilinear model; mobile robot

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