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A dominance concept for optimal control with partially unknown initial conditions

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1 Author(s)
Allwright, J.C. ; Imperial College of Science and Technology, London, UK

The problems considered here have cost v(x_{o}, u) , a quadratic in (x_{o}, u) , wherexois interpreted as an initial condition and u as an unconstrained control variable. The aim is to choose u rationally when the only measurement available is the partial linear measurement y_{o} = Cx_{o} and when u should be desirable for every xoconsistent with the measurement yo. A dominance concept is introduced which facilitates suitable choice of u . Properties of such u are studied. The results are applied to the standard linear regulator, giving an open-loop control dependent on yo, and to the problem of choosing the initial conditions for dynamic compensators.

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Automatic Control, IEEE Transactions on  (Volume:30 ,  Issue: 5 )