A constrained scalar control for the motion of a system of oscillators with damping residual oscillations |
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| Authors: | V A Prourzin |
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| Affiliation: | (1) Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Vasil’evskii Ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia |
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| Abstract: | The problem of scalar control of a finite or countable system of oscillators mounted on a common base is considered. The control is conducted by a scalar bounded force applied to the base. A wide circle of control problems for systems with distributed parameters and many-mass systems can be reduced to the considered statement. A method for solving the problem of constructing a control bounded in modulus that steers the base from a given state to the origin for a finite time and provides that there are no residual oscillations is developed. |
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