Title :
Identifiability of linear time-invariant differential-algebraic systems, using generalized Markov parameters
Author :
Ben-Zvi, Amos ; McLellan, James ; McAuley, Kim
Author_Institution :
Dept. of Chem. Eng., Queen´´s Univ., Kingston, Ont., Canada
Abstract :
A method for testing the identifiability of linear time-invariant differential algebraic equation systems based on generalized Markov parameters is proposed by S. Vajda (1985) for ordinarily differential equation systems. The generalized Markov parameters are computed, and their connection to identifiability is discussed. Necessary and sufficient conditions for identifiability of linear time-invariant differential algebraic systems are given. Finally, an idealized gas-phase chemical reactor is used to demonstrate the method.
Keywords :
Markov processes; chemical reactors; identification; linear algebra; linear differential equations; linear systems; time-varying systems; differential equation systems; differential-algebraic systems; gas-phase chemical reactor; generalized Markov parameters; identifiability; linear time-invariant; Chemical engineering; Chemical reactors; Design optimization; Differential algebraic equations; Differential equations; Noise measurement; Predictive models; Steady-state; System testing;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1242449
