Improved adaptive observer with optimal convergence

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Improved adaptive observer with optimal convergence

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© The Institution of Electrical Engineers
Published

A simple technique for simultaneous parameter identification and state estimation of linear discrete systems is presented. The gradient method is used for identification and the global stability of the scheme is guaranteed by the use of Lyapunov's method. The optimal adaptive gains are also considered for more rapid convergence.

Inspec keywords: parameter estimation; adaptive systems; linear systems; discrete systems; state estimation; Lyapunov methods

Other keywords: Lyapunov methods; linear discrete systems; state estimation; adaptive system; simultaneous parameter identification

Subjects: Simulation, modelling and identification; Discrete control systems; Adaptive system theory; Self-adjusting control systems

References

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      • G. Lueders , K.S. Narendra . Stable adaptive schemes for state estimation and identification of linear systems. , 841 - 847
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      • C.T. Chen . (1971) , Introduction to linear system theory.
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      • P. Kudva , K.S. Narendra . An identification procedure for discrete multi-variable systems. IEEE Trans. , 549 - 552
    4. 4)
      • Lueders, G.: `Stable adaptive schemes for state estimation, identification and control', 1974, Ph.D. dissertation, Yale University, New Haven, Conn., USA.
    5. 5)
      • A.J. Udink Ten Cate . Gradient identification of multivariable discrete systems. Electron. Lett. , 98 - 99
    6. 6)
      • H. Adermann . (1976) , Entwurf und Erprobung Adaptiver Beobachter fuer zustandsgroessen mit dem Prozessrechner.
    7. 7)
      • Li, C.K.: `Verbesserter Entwurf und Erprobung des Adaptiver Beobachter nach Lueders und Narendra', Interner Bericht FSR-7715, 1977.
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