Nonlinear control systems with impulsive inputs

Author

Orlov, Yu V.

Author_Institution

Dept. of Electron. & Telecommun., CICESE Res. Center, Mexico

Volume

1

fYear

1997

fDate

10-12 Dec 1997

Firstpage

630

Abstract

Mathematical models for nonlinear control systems which, along with standard integrable inputs, admit impulsive ones, are developed. It is stated that the mathematical apparatus utilized for the description of impulsive control systems must accommodate the details of the realization of the impulsive inputs in the nonlinear setting and permit an ambiguous impulse response. The concept of generalized input is introduced. Based on this concept the description of nonlinear control systems with discontinuous state trajectories is proposed. The main result of the paper consists in the specification of the set of instantaneous impulse responses of a nonlinear system by means of a reachability set of a certain auxiliary dynamical system with integrable inputs. The complete integrability of the auxiliary system is proven to guarantee the uniqueness of the impulse response

Keywords

integral equations; nonlinear control systems; nonlinear differential equations; transient response; ambiguous impulse response; discontinuous state trajectories; impulsive control systems; impulsive inputs; nonlinear control systems; reachability set; standard integrable inputs; Control system synthesis; Control systems; Mathematical model; Mechanical systems; Nonlinear control systems; Nonlinear systems; Open loop systems; Robust stability; Space vehicles; Telecommunication control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.650701

Filename

650701