Attenuation of Persistant Laplace Transform (infinity)-Bounded Disturbances for Nonlinear Systems
CALIFORNIA INST OF TECH PASADENA CONTROL AND DYNAMICAL SYSTEMS
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A version of nonlinear generalization of the Laplace transformexp 1-control problem, which deals with the attenuation of persistent bounded disturbances in Laplace transforminfinity-sense, is investigated in this paper. The methods used in this paper are motivated by Shamma1994. The main idea in the Laplace transform exp 1-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 Laplace transform exp 1-control of a continuous-time system and the Laplace transform exp 1-control of its Euler approximated discrete-time systems is established.
- Numerical Mathematics
- Operations Research