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Balanced systems and model reduction

Balanced systems and model reduction

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© The Institution of Electrical Engineers
Published

Moore's method of reduction of linear systems by transformation to balanced form and subsequent truncation can fail to retain the most significant states in the reduced model. An alternative criterion is suggested for the selection of states in terms of their input/output contribution.

Inspec keywords: linear systems; observability; controllability

Other keywords: input/output contribution; Moore's method; observability; controllability; linear systems; balanced form; truncation

Subjects: Control system analysis and synthesis methods

References

    1. 1)
      • K.V. Fernando , H. Nicholson . On the structure of balanced and other principal representations of SISO systems. IEEE Trans. , 228 - 231
    2. 2)
      • P.T. Kabamba . Balanced gains and their significance for L2 model reduction. IEEE Trans. , 690 - 693
    3. 3)
      • B.C. Moore . Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Trans. , 17 - 31
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