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Hierarchical Control of Linear Systems from the Abstraction Feedback Gain
Author(s) -
Kaihong Yang,
Haibo Ji
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1309
Subject(s) - abstraction , computer science , interface (matter) , class (philosophy) , linear system , control theory (sociology) , control system , control (management) , control engineering , mathematics , engineering , artificial intelligence , mathematical analysis , philosophy , epistemology , bubble , maximum bubble pressure method , parallel computing , electrical engineering
In this paper, the problem of hierarchical control for a class of linear systems is addressed. Given a large‐scale linear system, we obtain a stabilizing feedback gain for it from that of an abstract system. And then, we employ this feedback gain to design a new interface between the original system and the abstraction. Furthermore, the synthesis of the new interface can be allowed by a new simulation function characterized by a low‐order matrix associated to the abstraction. Finally, an example is given to illustrate the proposed approach.