A State-Space Approach to Parametrization of Stabilizing Controllers for Nonlinear Systems

Lu, Wei-Min (1994) A State-Space Approach to Parametrization of Stabilizing Controllers for Nonlinear Systems. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:1994.009]

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Abstract

A state-space approach to Youla-parametrization of stabilizing controllers for linear and nonlinear systems is suggested. The stabilizing controllers (or a class of stabilizing controllers for nonlinear systems) are characterized as (linear/nonlinear) fractional transformations of stable parameters. The main idea behind this approach is to decompose the output feedback stabilization problem into state feedback and state estimation problems. The parametrized output feedback controllers have separation structures. A separation principle follows from the construction. This machinery allows the parametrization of stabilizing controllers to be conducted directly in state space without using coprime-factorization.

EPrint Type:	Monograph (Technical Report)
Additional Information:	The author would like thank Dr. J. C. Doyle for his encouragements and helpful discussions during this work, Dr. K. Zhou for his carefully reading the first version of this paper and some useful inputs, Dr. Y. Lin for providing his Ph.D. thesis [18], and Dr. R. Murray for some helpful discussions. He also acknowledges the comments from the anonymous reviewers and Y. Huang. Support for this work was provided by NSF, AFOSR, and ONR through J.C. Doyle.
Uncontrolled Keywords:	Fractional Transformation, Input-to-State Stability, Lyapunov Technique, Robust Control, Separation Principle, State Space, Stabilization, Youla-Parametrization
Subjects:	All Records
ID Code:	96
Deposited By:	Caltech Library System
Deposited On:	07 September 2006
Unique Identifier:	CaltechCDSTR:1994.009
Official Persistent URL:	http://resolver.caltech.edu/CaltechCDSTR:1994.009
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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