Analysis of a type of model reference-adaptive control system

Dymock, A.J.; Meredith, J.F.; Hall, Albert C.; White, K.M.

doi:10.1049/piee.1965.0130

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Input-perturbation1

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1968

1973

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Cited by 11 publications

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“…Stability analyses of several other adaptive systems are available (Donalson and Leondes, 1963;Dymock et al 1965; Kuntsevich, 1965; Margolis and Leondes, 1959;Rajaraman and Wertz, 1963;Tarjan, 1962).…”

Section: Input-perturbationmentioning

confidence: 99%

Stability of Input-Perturbation Extremum-Seeking Systems

White¹,

Foley²,

Altpeter³

1968

Ind. Eng. Chem. Fund.

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Section: Input-perturbationmentioning

confidence: 99%

Stability of Input-Perturbation Extremum-Seeking Systems

White¹,

Foley²,

Altpeter³

1968

Ind. Eng. Chem. Fund.

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A Survey of Model Reference Adaptive Techniques (Theory and Applications)

Landau

1973

IFAC Proceedings Volumes

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The design of stable adaptive model reference control systems using sensitivity coefficients†

Nikiforuk

Rao

1971

International Journal of Control

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A procedure is described for the design of stable adaptive model reference control systems. This procedure combines the Lya.punov method with the use of sensitivity coefficients. A basic algorithm is. first obtained and the resulting system is shown to be asymptotically stable in the sense of 'eventual stability' as used by La Salle and Rath (196:3) . Modifications of this algorithm are then proposed which arc easier to implement. One of these uses sensitivity coefficients and is studied in some detail. Notation ex, f3 = positive constants a.e. = almost everywhere AND = coincidence operator c = p-dimensioned plant and unadjustable controller parameter vector e, e = scalar and vector error signals k c ' k p = controller gain and process gain k i = value of ith adjustable parameter -\ = maximum rate of adjustment of a parameter A = a positive definite matrix M i = maximum rate of adjustment of the ith parameter ,....( . ) = Lebesgue measure 11' 11 = norm in n-dimensional Euclidean space ill = subset of R" on which the dynamics of the system arc defined D u = product space D 1 x TI 4>(t) = a bounded measurable function on TI r, r = scalar and vector inpu t signals R" = r-dimensioned Euclidean space TI = the interval (0, (0) T/, T_I = subsets of Tl ( .)T = transpose of a vector or matrix X = uncontrollable factors on v(e)

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Analysis of a type of model reference-adaptive control system

Cited by 11 publications

References 1 publication

Stability of Input-Perturbation Extremum-Seeking Systems

Stability of Input-Perturbation Extremum-Seeking Systems

A Survey of Model Reference Adaptive Techniques (Theory and Applications)

The design of stable adaptive model reference control systems using sensitivity coefficients†

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