Derivation of discrete and continuous time ramp invariant representations

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Derivation of discrete and continuous time ramp invariant representations

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© The Institution of Electrical Engineers
Published

A general procedure for calculating an equivalent ramp invariant (FOH) continuous-time model corresponding to a given discrete-time model is derived. Only SISO systems having distinct non-zero continuous eigenvalues have been treated. In this respect the presented procedure represents a generalisation of published results.

Inspec keywords: identification; multivariable control systems; eigenvalues and eigenfunctions; discrete time systems; control system analysis

Other keywords: discrete-time model; continuous-time model; MIMO models; nonzero continuous eigenvalues; SISO systems; control systems; equivalent ramp invariant representation; identification

Subjects: Simulation, modelling and identification; Discrete control systems; Multivariable control systems; Control system analysis and synthesis methods

References

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      • N.K. Sinha , B. Kusta . (1983) , Modeling and identification of dynamic systems.
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      • Bingulac, S., Krtolica, R.V.: `An algorithm for simultaneous order and parameter identification in multivariable system', 8th IFAC/IFORS Symposium, 1988, Beijing.
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      • I.T. Tou . (1965) , Modern control theory.
    4. 4)
      • Bingulac, S., Sinha, N.K.: `On the identification of continuous-time multivariable systems from samples of input–output data', Proc. 7th Int. Conf. mathematical and computer modelling, 1989, Chicago.
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