Canonical forms for the identification of multivariable linear systems

作者: M. Denham

DOI: 10.1109/TAC.1974.1100708

关键词: Canonical formUniquenessState spaceLinear dynamical systemLinear systemTime-invariant systemDeterministic system (philosophy)Applied mathematicsSystem identificationMathematicsMathematical optimization

摘要: The advantage of using a unique parameterization in numerical procedure for the identification system from operating records has been well established. In this paper several sets canonical forms are described state space models deterministic multivariable linear systems; members these having therefore required uniqueness property within equivalence classes minimal realizations system. stochastic system, it is shown how problem depends also upon determining factorization spectral density matrix and obtained extended to case.

参考文章(23)
Pavol Brunovský, A classification of linear controllable systems Kybernetika. ,vol. 6, pp. 173- 188 ,(1970)
D. Q. Mayne, Parametrization and identification of linear multivariable systems Stability of Stochastic Dynamical Systems. pp. 56- 61 ,(1972) , 10.1007/BFB0064934
K Glover, JC Willems, On the identifiability of linear dynamical systems North-Holland Publishing Company / Elsevier. ,(1973)
Keith Glover, Structural Aspects of System Identification Massachusetts Institute of Technology. ,(1973)
Howard Weinert, John Anton, Canonical forms for multivariable system identification conference on decision and control. ,vol. 11, pp. 37- 39 ,(1972) , 10.1109/CDC.1972.268936
P. E. CAINES, Unique state variable models for linear systems International Journal of Control. ,vol. 16, pp. 939- 944 ,(1972) , 10.1080/00207177208932324
C. E. Langenhop, On the stabilization of linear systems Proceedings of the American Mathematical Society. ,vol. 15, pp. 735- 742 ,(1964) , 10.1090/S0002-9939-1964-0168408-8
D. Mayne, A canonical model for identification of multivariable linear systems IEEE Transactions on Automatic Control. ,vol. 17, pp. 728- 729 ,(1972) , 10.1109/TAC.1972.1100108
V. M. Popov, Invariant Description of Linear, Time-Invariant Controllable Systems Siam Journal on Control. ,vol. 10, pp. 252- 264 ,(1972) , 10.1137/0310020