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Parametric control of the motions of non-linear oscillatory systems

โœ Scribed by L.D. Akulenko

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
973 KB
Volume
65
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

A new class of control and optimization problems for the motions of oscillatory systems, utilizing adjustable variation of the parameters, is considered. Forms of the equations of motion are proposed suitable for the use of asymptotic methods of nonlinear mechanics and optimal control. The basic control modes are investigated: by bang-bang-type variation of the acceleration, velocity or the value of a parameter within relatively narrow limits. Approximate time-optimal and time-quasi-optimal control laws are constructed for non-linear oscillatory systems with regulated relative equilibrium position and stiffness. Some interesting features of the motions are observed and discussed.

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