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Calderbank, JA
Languages: English
Types: Doctoral thesis
In this thesis singular perturbation methods of \ud analysis have been applied to the design of algorithms \ud that will produce effective, robust and high integrity \ud fast-sampling control of the longitudinal motions of \ud two types of vehicle systems. Both centralized and \ud decentralized control of vehicle cascades is considered and \ud the expected differences in the responses of the closed- \ud loop systems identified by the use of asymptotic transfer \ud function matrices. Furthermore the terms used by other \ud authors are explained by use of the analytical asymptotic \ud expressions. It is also explained how the fast-sampling \ud controllers are able to entrain vehicles in cascades \ud without requiring excessive control actions or loss of \ud accuracy. The results of computer simulations of a ten \ud vehicle cascade undergoing a constant speed entrainment \ud manoeuvre with both centralized and decentralized controllers \ud are presented to emphasize the results of the study. \ud The dynamical properties of trains of vehicles are \ud presented and fast-sampling controllers are designed \ud for the control of the speed of trains having single \ud leading locomotives both without and with another \ud locomotive in the train. The transmission zeros of such \ud systems are identified and their physical meaning used toVlll\ud explain why the fast-sampling control algorithms are \ud able to cope with trains of differing lengths and \ud configurations and still produce good disturbance- \ud rejection and tracking properties. Finally, the theory \ud is illustrated by the presentation of the results of a \ud digital computer simulation study of the passage of a \ud very long train over a vertical reverse curve.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • V. M. Popov, "some properties of control systems with irreducible matrix transfer functions", Lecture Notes in Mathematics, 144,pp!69-180,1969.
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