Stabilization of nonlinear systems with parametric uncertainty using variable structure techniques

Conference · Sat Jul 01 04:00:00 EDT 1995

OSTI ID:82312

Schoenwald, D A ^[1]; Oezguener, Ue ^[2]

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1. Oak Ridge National Lab., TN (United States)
2. Ohio State Univ., Columbus, OH (United States). Dept. of Electrical Engineering

The authors present a result on the robust stabilization of a class of nonlinear systems exhibiting parametric uncertainty. They consider feedback linearizable nonlinear systems with a vector of unknown constant parameters perturbed about a known value. A Taylor series of the system about the nominal parameter vector coupled with a feedback linearizing control law yields a linear system plus nonlinear perturbations. Via a structure matching condition, a variable structure control law is shown to exponentially stabilize the full system. The novelty of the result is that the linearizing coordinates are completely known since they are defined about the nominal parameter vector, and fewer restrictions are imposed on the nonlinear perturbations than elsewhere in the literature.

• Research Organization: Oak Ridge National Lab., TN (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 82312
• Report Number(s): CONF-9506200--2; ON: DE95013982
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
CONTROL SYSTEMS
FEEDBACK
NONLINEAR PROBLEMS
STABILIZATION