Near-optimal control using reduced-order models

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Near-optimal control using reduced-order models

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Two theorems have been proved demonstrating that the tracking properties of low-order models obtained using the theory of partial realisations are unchanged under state or output feedback. It follows, therefore, that an optimal feedback law for the reduced-order model can be used for near-optimal control of the high-order system with similar tracking of the output as for the open-loop case.

Inspec keywords: optimal control; modelling; multivariable control systems; linear systems

Other keywords: optimal feedback law; near optimal control; tracking properties; reduced order models; linear multivariable systems

Subjects: Multivariable control systems; Optimal control

References

    1. 1)
      • P. Rózsa , N.K. Sinha . Efficient algorithm for irreducible realisation of a rational matrix. Int. J. Control , 739 - 751
    2. 2)
      • Shamash, Y.: `Order reduction of linear systems using Padé approximation', 1973, Ph.D. thesis, University of London.
    3. 3)
      • J. Hickin , N.K. Sinha . New method of obtaining reduced-order models for linear multivariable systems. Electron. Lett. , 90 - 92
    4. 4)
      • Y. Shamash . Model reduction using minimal realisation algorithms. Electron. Lett. , 385 - 387
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