Overlapping decompositions and decentralized robust control of large-scale systems with distributed time-delay

Author(s):  
Altug Iftar
2021 ◽  
pp. 13-21
Author(s):  
Eugenie L. Eremin ◽  
Larisa V. Nikiforova ◽  
Evgeniy A. Shelenok

The article studies control algorithms of multiply connected system for dynamic plants with control saturation and nonlinear cross-connections. The authors of the article offer a decentralized control law based on the hyperstability criterion. They also use this law to constuct the MIMO servo system with input saturation. To illustrate the capability of the proposed decentralized robust control system the authors use an inverted pendulums connected by a spring.


2021 ◽  
Vol 20 ◽  
pp. 257-263
Author(s):  
Altug Iftar

Decentralized controller design using overlapping decompositions is considered for descriptor-type systems with distributed time-delay. The approach is based on the principle of extension. In this approach, a given large-scale system is decomposed overlappingly into a number of subsystems and expanded such that the overlapping parts appear as disjoint. A decentralized controller is then designed for the expanded system. This controller is then contracted for implementation on the original system. It is shown that if the decentralized controllers are designed to stabilize the expanded system and to achieve certain performance, then the contracted controller, which would have an overlapping decentralized structure, will stabilize the original system and will achieve corresponding performance


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