Abstract

For a class of nonlinear systems we derive a necessary and sufficient condition for the existence of a state variable feedback control law which accomplishes decoupling, as well as some conditions which characterize the class of decoupling control laws. Several examples are presented to illustrate the application of these results. For a special subclass which includes the so-called bilinear systems, we give two equivalent forms of the necessary and sufficient condition.

Keywords

Decoupling (probability)Nonlinear systemControl theory (sociology)Bilinear interpolationClass (philosophy)State variableVariable (mathematics)SubclassMathematicsState (computer science)Computer scienceControl (management)Control engineeringEngineeringMathematical analysisPhysicsAlgorithmArtificial intelligence

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Publication Info

Year
1972
Type
article
Volume
94
Issue
4
Pages
323-329
Citations
147
Access
Closed

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S. N. Singh, Wilson J. Rugh (1972). Decoupling in a Class of Nonlinear Systems by State Variable Feedback. Journal of Dynamic Systems Measurement and Control , 94 (4) , 323-329. https://doi.org/10.1115/1.3426615

Identifiers

DOI
10.1115/1.3426615