Estimation and optimization of maximum deviations in dynamical control system under complexly shaped disturbances

The game problem of designing dynamical systems that are optimal with respect to extreme deviations subject to external actions is solved. The maximum (over time) of the absolute value of the function characterizing the quality of motion is used as the measure of deviation. A method for describing t...

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Bibliographic Details
Published inJournal of computer & systems sciences international Vol. 51; no. 3; pp. 349 - 365
Main Authors Makarov, N. N., Semashkin, V. E.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.05.2012
Springer Nature B.V
Subjects
Accuracy
Control
Control in Deterministic Systems
Control systems
Deviation
Disturbances
Dynamical systems
Dynamics
Engineering
Fluid flow
Hydraulics
Mechatronics
Methods
Optimization
Robotics
Studies
Tracking errors
Differential Game
Infinite Time
Tracking Error
External Action
System Science International
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ISSN1064-2307
1555-6530
DOI10.1134/S1064230712030082

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Summary:The game problem of designing dynamical systems that are optimal with respect to extreme deviations subject to external actions is solved. The maximum (over time) of the absolute value of the function characterizing the quality of motion is used as the measure of deviation. A method for describing the set of possible external actions as a set of outputs of an additional dynamic block—a reference input generator (RIG) is proposed. The chief application domain of the results is the design of servomechanisms with the minimal extreme tracking error deviation. An example of designing a hydraulic servo drive is discussed.
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ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230712030082