Methods of constructing optimal stabilizers |
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Authors: | R Gabasov and F M Kirillova |
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Institution: | , Minsk, USSR |
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Abstract: | The problem of transforming a linear dynamical system in the neighbourhood of a state of equilibrium 1,2] is solved using the special problem of the damping of the system by controls of minimum intensity after a finite time interval. The possibility of using other problems of optimal control is discussed. The main attention is devoted to constructing algorithms of the operation of a device (a stabilizer) which is able, in real time, to generate a stabilizing control circulating in the closed optimal system when unknown perturbations operate constantly 3, 4]. The proposed method is based on the constructive theory of optimal control 5, 6]. Another form of this theory for solving the problem of stabilization is presented in 7](see also 8]). |
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