Optimal Transient Response Shaping of the Servomechanism Problem

D.E. Davison and E.J. Davison
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D.E. Davison: University of Waterloo
E.J. Davison: University of Toronto

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 3, No 4, 515 pages

Abstract: Abstract The problem of constructing a controller which gives a desirable transient response, e.g., a time response which is smooth, ripple-free, fast, and with negligible interaction effects, is considered in this paper for the servomechanism problem for continuous linear time invariant (LTI) systems. It is shown that this may be accomplished by constructing a controller which minimizes the following cheap control performance index: J=∫0 ∞{(θė+e)′(θė+e)+εφ(u)′φ(u)}dτ where e is the error in the system and φ(u) is a polynomial function of u and its derivatives; here, ε>0 and θ is a diagonal matrix with nonnegative elements. A number of examples are included to illustrate the type of results which may be obtained.

Keywords: Robust servomechanism problem; cheap control; optimal control; computer-aided design; optimal transient response; multivariable control; decentralized control; linear time-invariant systems (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1021246912554

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