Stabilization of nonlinear systems with parametric uncertainty using variable structure techniques
Abstract
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.
- Authors:
-
- Oak Ridge National Lab., TN (United States)
- Ohio State Univ., Columbus, OH (United States). Dept. of Electrical Engineering
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States)
- OSTI Identifier:
- 82312
- Report Number(s):
- CONF-9506200-2
ON: DE95013982; TRN: 95:005204
- DOE Contract Number:
- AC05-84OR21400
- Resource Type:
- Conference
- Resource Relation:
- Conference: International Federation on Automatic Control (IFAC) symposium on nonlinear control systems design, Tahoe City, CA (United States), 25-28 Jun 1995; Other Information: PBD: [1995]
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; CONTROL SYSTEMS; NONLINEAR PROBLEMS; FEEDBACK; STABILIZATION
Citation Formats
Schoenwald, D A, and Oezguener, Ue. Stabilization of nonlinear systems with parametric uncertainty using variable structure techniques. United States: N. p., 1995.
Web.
Schoenwald, D A, & Oezguener, Ue. Stabilization of nonlinear systems with parametric uncertainty using variable structure techniques. United States.
Schoenwald, D A, and Oezguener, Ue. 1995.
"Stabilization of nonlinear systems with parametric uncertainty using variable structure techniques". United States. https://www.osti.gov/servlets/purl/82312.
@article{osti_82312,
title = {Stabilization of nonlinear systems with parametric uncertainty using variable structure techniques},
author = {Schoenwald, D A and Oezguener, Ue},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/82312},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Jul 01 00:00:00 EDT 1995},
month = {Sat Jul 01 00:00:00 EDT 1995}
}