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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. California Institute of Technology , Pasadena, CA. (Unpublished)

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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.

Item Type:Report or Paper (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.
Group:Control and Dynamical Systems Technical Reports
Subject Keywords:Controlled Invariance, Disturbance Rejection, L1-Optimal Control, Nonlinear Systems, Robust Control
Record Number:CaltechCDSTR:1995.002
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Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:28084
Deposited By: Imported from CaltechCDSTR
Deposited On:14 Sep 2006
Last Modified:24 Sep 2013 20:24

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