On the use of stochastic approximation in the state-parameter identification problem

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On the use of stochastic approximation in the state-parameter identification problem

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The results of a simulation study are presented to show that a recently published ‘bootstrap’ identification method for estimating the states and parameters of a linear discrete-time stochastic system does not work. The reasons why the method does not work are explained.

Inspec keywords: identification; linear systems; discrete time systems; stochastic systems

Other keywords: simulation study; stochastic approximation; bootstrap identification method; linear discrete time stochastic system; state parameter identification problem

Subjects: Discrete control systems; Time-varying control systems; Simulation, modelling and identification

References

    1. 1)
      • Y. Bar-Shalom . Optimal simultaneous state estimation and parameter identification in linear discrete-time systems. IEEE Trans. , 308 - 319
    2. 2)
      • R.M. Prasad , A.K. Sinha . Bootstrap identification using stochastic approximation. IEEE Trans. , 671 - 672
    3. 3)
      • Dvoretzky, A.: `On stochastic approximation', Proc. 3rd Berkeley Symp. on Math. Stat. and Prob., 1956, 1, p. 39–55.
    4. 4)
      • G.N. Saridis . Stochastic approximation methods for identification and control-a survey. IEEE Trans. , 798 - 809
    5. 5)
      • Irwin, G., Roberts, A.P.: `On the state parameter estimation of linear discrete-time systems', Proc. IMA Conf. ‘Recent advances in control’, September 1976, .
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