Lu, Wei-Min and Doyle, John (1995) Attenuation of Persistent L∞-Bounded Disturbances for Nonlinear Systems. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1995.002
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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 . 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|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechCDSTR|
|Deposited On:||14 Sep 2006|
|Last Modified:||26 Dec 2012 14:30|
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