Robust Control of Positive Fractional‐Order Interconnected Systems with Heterogeneous Delays

The problem of robust decentralized control of positive fractional‐order interconnected systems with heterogeneous time‐varying delays is studied in this paper. Necessary and sufficient conditions are first derived for internal positiveness of the system. By exploiting the monotonicity induced from...

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Vydáno v:Asian journal of control Ročník 21; číslo 1; s. 596 - 608
Hlavní autoři: Le, Hien Van, Chu, Kinh Trong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Wiley Subscription Services, Inc 01.01.2019
Témata:
Algorithms
Computational geometry
Control stability
Control systems design
Convexity
Decentralized control
Economic models
Fractional‐order systems
Linear programming
Optimization
Parameter uncertainty
positive systems
Programmable logic devices
Robust control
ISSN:1561-8625, 1934-6093
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Shrnutí:The problem of robust decentralized control of positive fractional‐order interconnected systems with heterogeneous time‐varying delays is studied in this paper. Necessary and sufficient conditions are first derived for internal positiveness of the system. By exploiting the monotonicity induced from positivity of the system, robust stability conditions subject to uncertain system parameters are derived. The derived stability conditions are then utilized to address the controller synthesis problem. The design conditions for obtaining controller gains of stabilizing decentralized controllers are formulated using linear programming, which can be effectively solved by various convex optimization algorithms. Finally, the effectiveness of the obtained results is validated by two numerical examples.
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1739