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Near-resonance frequency control in the presence of random perturbations of parameters

โœ Scribed by A.S. Kovaleva

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
664 KB
Volume
68
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

Weakly controlled resonance oscillations of a non-linear system are investigated. Small random perturbations results in a deviation of the frequencies from the resonance values. The aim of the control is to keep the frequencies in a small neighbourhood of the resonance surface. It is shown that small deviators of the frequencies from the given values can be found as a solution of a linearized diffusion equation. This enables the dynamic programming principle to be applied to the control problem. A bounded control which minimizes the mean time the system resides in the near-resonance domain is constructed. It is shown that the control is independent of the perturbations and the structure of the conservative part of the system. The frequency control for a system of coupled oscillators is considered as an example.

๐Ÿ“œ SIMILAR VOLUMES

Robust stabilization of linear systems i
Robust stabilization of linear systems in the presence of Gaussian perturbation of parameters
โœ Saroj K. Biswas ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 196 KB ๐Ÿ‘ 2 views

Stabilization of linear systems in state space in the presence of parametric perturbations is considered. The perturbed system is represented by a matrix differential equation with the elements of the matrices given by Gaussian processes with known mean and covariance. Using methods from stochastic