Attenuation of Persistent L∞-Bounded Disturbances for Nonlinear Systems
- Creators
- Lu, Wei-Min
-
Doyle, John
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.
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.Attached Files
Submitted - CDS95-002.pdf
Submitted - cds95-002.ps.gz
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Additional details
- Eprint ID
- 28084
- Resolver ID
- CaltechCDSTR:1995.002
- NSF
- Air Force Office of Scientific Research (AFOSR)
- Office of Naval Research (ONR)
- Created
-
2006-09-14Created from EPrint's datestamp field
- Updated
-
2020-02-27Created from EPrint's last_modified field
- Caltech groups
- Control and Dynamical Systems Technical Reports