Attenuation of Persistent L∞-Bounded Disturbances for Nonlinear Systems

Lu, Wei-Min and Doyle, John (1995) Attenuation of Persistent L∞-Bounded Disturbances for Nonlinear Systems. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:1995.002]

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Abstract

A version of nonlinear generalization of the L1-control problem, which deals with the attenuation of persistent bounded disturbances in L∞-sense, is investigated in this paper. The methods used in this paper are motivated by [23]. The main idea in the L1-performance analysis and synthesis is to construct a certain invariant subset of the state-space such that achieving disturbance rejection is equivalent to restricting the state-dynamics to this set. The concepts from viability theory, nonsmooth analysis, and set-valued analysis play important roles. In addition, the relation between the L1-control of a continuous-time system and the l1-control of its Euler approximated discrete-time systems is established.

EPrint Type:	Monograph (Technical Report)
Additional Information:	The authors would like thank J. Shamma for helpful discussions and useful inputs. Support for this work was provided by NSF, AFOSR, and ONR.
Uncontrolled Keywords:	Controlled Invariance, Disturbance Rejection, L1-Optimal Control, Nonlinear Systems, Robust Control
Subjects:	All Records
ID Code:	109
Deposited By:	Caltech Library System
Deposited On:	14 September 2006
Unique Identifier:	CaltechCDSTR:1995.002
Official Persistent URL:	http://resolver.caltech.edu/CaltechCDSTR:1995.002
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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