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Distributed Control and Verification

Researchers: Carolina Lidström, Michelle Chong, Giulia Giordano, Richard Pates, Kaoru Yamamoto, Anders Rantzer

Funding: Swedish Research Council

 

Most of control theory has been developed in a centralized setting, where all measurements are processed together to compute the control signals. This paradigm has conceptual advantages, but also inherent limitations. In contrast, industrial practice often relies on distributed control structures. Hence, there is a strong need for theory and methodology supporting design and verification of distributed controllers. The purpose of this research project is to address this need along three main directions:
  • Monotone systems. Many large scale control applications exhibit natural monotonicity properties, which can be exploited for sclalable analysis and control synthesis.
  • Structured H-infinity optimal control. Non-uniqueness of H-infinity optimal controllers is exploited for derivation of distributed control structures.
  • Scalable Integral Quadratic Constraints. We are exploring scalable versions of classical anlysis methods for feedback systems. Driving applications range from neuro-science to structural engineering and stochastic optimization.
 

Publications

Carolina Lidström, Richard Pates, Anders Rantzer: "H-infinity Optimal Distributed Control in Discrete Time". In: 2017 IEEE 56th Conference on Decision and Control, CDC 2017, 2017.