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IEE Proceedings D (Control Theory and Applications)

Volume 127, Issue 2, March 1980

Volumes & issues:

Volume 127, Issue 2

March 1980

Editorial
On quantisation and other bounded nonlinearities in first-order discrete multivariable control
  • Author(s): F.M. Boland  and  D.H. Owens
  • Source: IEE Proceedings D (Control Theory and Applications), Volume 127, Issue 2, p. 38 –44
  • DOI:  10.1049/ip-d.1980.0007
  • Type: Article
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  • p. 38 –44 (7)
    Recent work on the use of discrete first-order approximate models of plant dynamics in multi-variable process control is extended to consider the effect on transient performance of nonhinearities, such as measurement quantisation or dead-zone at the implementation stage. Explicit upper bounds on the transient error induced by the nonlinearity are obtained and their validity illustrated by numerical examples. In particular, at fast sampling rates, it is seen that, not only does the first-order controller produce a closed-loop system with rapid, nonoscillating responses and small interaction effects, but it also ensures that peak transient errors owing to the nonlinearity are less than the error involved in approximating the nonlinearity by a unity gain matrix. For example, if the nonlinearity is measurement quantisation, the peak transient effects of the quantisation will be bounded by the quantisation error itself at fast sampling rates, and will not be amplified by system dynamics.
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Identification of distributed parameter systems via multidimensional distributions
  • Author(s): D.C. Saha  and  G. Prasada Rao
  • Source: IEE Proceedings D (Control Theory and Applications), Volume 127, Issue 2, p. 45 –50
  • DOI:  10.1049/ip-d.1980.0008
  • Type: Article
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  • p. 45 –50 (6)
    The paper presents a method of determining the parameters of a process described by a partial differential equation from a knowledge of its solution. The development is based on treating the process signals as multidimensional distributions in the manner established by Laurent Schwartz, and expanding them in an exponentially weighted series of the generalised partial derivatives of the multidimensional Dirac delta function, termed as the Poisson moment functional ( p. m. f. ) expansion. The ability of the method is successfully demonstrated in the presence of noise.
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Slip-frequency limited phase-locked-loop induction-motor drive
Reduced-order optimal controller for discrete-time stochastic systems
  • Author(s): M.J. Grimble
  • Source: IEE Proceedings D (Control Theory and Applications), Volume 127, Issue 2, p. 55 –63
  • DOI:  10.1049/ip-d.1980.0010
  • Type: Article
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  • p. 55 –63 (9)
    The solution of the l. q. g. regulator problem is given by the separation principle and involves a Kalman filter with the same dimension as that of the plant. It is shown that, for a class of systems where the input subsystem states are measurable, the Kalman filter may be reduced in dimension considerably. An example of a steel-mill shape control problem is discussed where the number of states required in the filter is halved. The proposed optimal system includes direct state-feedback from the measurable states, which improves the performance of the system and reduces the effects of modelling errors.The optimal controller for the discrete-time system is derived in the z-domain. The solution of the above multivariable regulator problem has not previously been obtained in this form. The z-domain controller is particularly suitable for implementation on a microprocessor or digital computer.
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Linear perturbation models for a.c. magnetic suspension systems: experimental and theoretical results
  • Author(s): J.W. Henn
  • Source: IEE Proceedings D (Control Theory and Applications), Volume 127, Issue 2, p. 64 –74
  • DOI:  10.1049/ip-d.1980.0011
  • Type: Article
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  • p. 64 –74 (11)
    Open-loop transfer functions are presented for various a. c. magnetic suspension systems. These transfer functions, relating changes in control voltage to changes in airgap, are used to demonstrate the differences between the various a. c. magnetic suspension systems and to show the effect of parameter variation (such as airgap or carrier frequency) on the open-loop poles and zeros. The transfer functions developed are used in a closed-loop linear model to predict the transient behaviour of an experimental system. Several different compensations and frequencies are used. LCR tuned-circuit as well as RL circuit-suspension systems are analysed. Good agreement is achieved for natural frequencies, gains and damping.
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Optimal controllers for a d–q machine

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