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Study of minimum entropy H ∞ controller for descriptor systems
Author(s) -
Jhang JiaYao,
Yung CheeFai
Publication year - 2021
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.2452
Subject(s) - entropy (arrow of time) , mathematics , control theory (sociology) , computer science , artificial intelligence , control (management) , physics , quantum mechanics
This paper extends the results of minimum entropyH ∞control from the state‐space system to the descriptor system. We first give an explicit definition for entropy of descriptor systems, and then derive a formula for calculating the entropy. Next, we find the parameterization of allH ∞controllers for descriptor systems. Among theseH ∞controllers, we find the one resulting in the minimum entropy. Finally, a numerical example is provided to illustrate the obtained results.