Title :
State realization of nonlinear MIMO discrete-time systems described by input-output equations
Author_Institution :
George W. Woodruff Sch. of Mech. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
In this paper, we consider a general class of nonlinear MIMO discrete-time systems described by their input-output relationship. We first present the necessary and sufficient conditions for existence of a local observable state-space realization of the system and an explicit algorithm for computing it. In cases where the input-output map and its resulting realization are nonminimal, we formulate an algorithm for extracting its minimal realization whenever possible. The developed theory and algorithms are illustrated by means of several examples
Keywords :
MIMO systems; discrete time systems; multivariable control systems; nonlinear control systems; observability; realisation theory; state-space methods; I/O equations; I/O map; input-output equations; input-output map; local observable state-space realization; minimal realization; necessary and sufficient conditions; nonlinear MIMO discrete-time systems; state realization; Autoregressive processes; Data mining; Feedforward neural networks; MIMO; Mechanical engineering; Neural networks; Nonlinear equations; Stability analysis; State feedback; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.762058
