Open AccessStabilization of a multiconnected controlled continuous discrete system with non-overlapped decompositions with respect to part of variables
Author(s) -
Elena A. Kaledina
Publication year - 2020
Publication title -
žurnal srednevolžskogo matematičeskogo obŝestva
Language(s) - English
Resource type - Journals
eISSN - 2587-7496
pISSN - 2079-6900
DOI - 10.15507/2079-6900.22.202003.268-279
Subject(s) - piecewise , constant (computer programming) , control theory (sociology) , control (management) , position (finance) , piecewise linear function , mathematics , function (biology) , control system , constant function , computer science , mathematical analysis , engineering , economics , finance , artificial intelligence , evolutionary biology , electrical engineering , biology , programming language
This paper considers a multi-connected controllable system with non-overlapping decompositions. Given that most of the control laws are implemented on digital controllers, the control of the system is implemented as a piecewise-constant function. Multiconnectivity of the system, in turn, makes it impossible to use centralized control. Every isolated subsystem must work stably, and intersystem connections can have a destabilizing effect. In this case, piecewise-constant control is constructed as two-level, i.e. in the form of a sum of local and global control. Local control stabilizes the equilibrium positions of individual linear subsystems. Global control acts on intersystem connections. Conditions are obtained under which local control stabilizes linear subsystems, and the equilibrium position of the original multi-connected system is asymptotically stable in part of variables.