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Numerical method for the statistical design of computer control systems

Numerical method for the statistical design of computer control systems

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© The Institution of Electrical Engineers
Published

A simple numerical technique is used to design controller pulse transfer functions which minimise the overall error criterion. The performance of these controllers is compared with that of controllers based on the minimisation of the sampled-error criterion over a range of sampling frequencies for a 2nd-order plant.

Inspec keywords: digital control; numerical methods; transfer functions; control system synthesis; optimal control

Other keywords: statistical design of computer control systems; numerical methods; sampled error criterion minimisation; transfer functions; overall error criterion minimisation; control engineering applications of computers; second order plant; controller pulse transfer functions

Subjects: Optimal control; Other numerical methods; Discrete control systems

References

    1. 1)
      • E.I. Jury . Comments on the statistical design of linear sampled data feedback systems. IEEE Trans. , 215 - 216
    2. 2)
      • M. Mori . Statistical treatment of sampled data control systems for actual random inputs. Trans. ASME Ser. D , 444 - 456
    3. 3)
      • H.H. Rosenbrock . An automatic method for finding the greatest or least value of a function. Comput. J. , 175 - 184
    4. 4)
      • J.O. Gray , M.J. Jackson . Estimation of quantisation and sampling errors in computer-control systems. Electron. Lett. , 618 - 620
    5. 5)
      • J.T. Tou . Statistical design of digital control systems. IRE Trans. , 290 - 297
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