Title :
Realization of nonlinear systems described by input/output differential equations: Equivalence of different methods
Author :
Kotta, U. ; Mullari, T.
Author_Institution :
Institute of Cybernetics at TTU, Akadeemia tee 21, 12618 Tallinn, Estonia
Abstract :
Five different state space realizability conditions for nonlinear single-input single-output high order input-output differential equation are compared and proved to be equivalent. Moreover, the explicit formulas are provided for calculation of the differentials of the state coordinates which can be integrated to obtain the state coordinates iff the necessary and sufficient realizability conditions are satisfied.
Keywords :
Aerospace electronics; Control systems; Linear systems; Mathematical model; Nonlinear systems; Partial differential equations; algebraic methods; geometric methods; input-output equation; nonlinear control system; state space realization;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9