Title :
Nonlinear control systems with impulsive inputs
Author_Institution :
Dept. of Electron. & Telecommun., CICESE Res. Center, Mexico
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650701
