Title :
Averaged continuous-time models in identification and control
Author_Institution :
Inst. for Problems of Mech. Eng., St. Petersburg, Russia
Abstract :
In this tutorial paper a brief exposition is made for the research area related to development and justification of the so called method of continuous models (MNM). The essence of the method is in replacement of the analysis or design problem for a discrete stochastic system with a similar problem for its simplified (averaged) continuous-time model. Continuous-time models described by either ordinary differential equations or stochastic differential equations are considered. Relations between MNM and averaging method are demonstrated. Applications to identification and control problems for systems and networks are described.
Keywords :
continuous time systems; control system synthesis; differential equations; discrete time systems; stochastic systems; MNM; averaged continuous-time model; control problem; design problem; discrete stochastic system; identification problem; method of continuous model; ordinary differential equation; simplified continuous time model; stochastic differential equation; Analytical models; Approximation methods; Convergence; Differential equations; Heuristic algorithms; Mathematical model; Stochastic processes; ODE; SDE; averaging method; ergodicity; fast and slow motions; mixing conditions;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862624