Combined control synthesis algorithm

The objects of the research are homogeneous bilinear control systems. The control synthesis problem of moving a bilinear system to the origin of coordinates in a finite time is considered. To solve this problem it is suggested to use an auxiliary linear system. It is known that the program control f...

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Bibliographic Details
Published in2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA) pp. 1 - 3
Main Authors Smirnov, Nikolay V., Smirnov, Alexey N., Smirnov, Mikhail N., Smirnova, Maria A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2017
Subjects
Asymptotic stability
Control systems
Linear systems
Mathematical model
Nonlinear systems
Process control
Stability analysis
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DOI10.1109/CNSA.2017.7974014

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Summary:The objects of the research are homogeneous bilinear control systems. The control synthesis problem of moving a bilinear system to the origin of coordinates in a finite time is considered. To solve this problem it is suggested to use an auxiliary linear system. It is known that the program control for the linear system that moves it to the origin can be represented in an equivalent form of positional control. In this case the closed system has a structure similar to the bilinear control system. Based on this property the combined control synthesis method in homogeneous bilinear systems is proposed.
DOI:10.1109/CNSA.2017.7974014