Attenuation of Persistant Laplace Transform (infinity)-Bounded Disturbances for Nonlinear Systems.

摘要

A version of nonlinear generalization of the Laplace transform(exp 1)-control problem, which deals with the attenuation of persistent bounded disturbances in Laplace transform(infinity)-sense, is investigated in this paper. The methods used in this paper are motivated by Shamma(1994). 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.