Characteristic equations of optimal linear multivariable control systems

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Characteristic equations of optimal linear multivariable control systems

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A simple derivation of the frequency-domain characteristic equation of the optimal linear multivariable control system is given. The equation is obtained from Pontryagin's maximum principle and is compared with alternative expressions given in the literature.

Inspec keywords: control system synthesis; optimal systems; multivariable control systems; maximum principle; optimal control

Other keywords: frequency domain characteristic equation; optimal linear multivariable control system; Pontryagin's maximum principle

Subjects: Multivariable control systems; Optimal control

References

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      • R.E. Kalman . When is a linear control system optimal?. Trans. ASME , 51 - 60
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      • Mayne, D.Q.: `The design of linear multivariable systems', paper 29.1, Proceedings of the 5th IFAC world congress, 1972, Paris.
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      • F.R. Grantmacher . (1959) , The theory of matrices—Vol. I.
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      • Anderson, B.D.O.: `The inverse problem of optimal control', Stanford University electronics report, 6560-3, 1966.
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