4.7 Article

Sliding Mode-Based Robustification of Consensus and Distributed Optimization Control Protocols

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 66, Issue 3, Pages 1207-1214

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2020.2991694

Keywords

Optimization; Protocols; Robustness; Uncertainty; Perturbation methods; Sliding mode control; Task analysis; Consensus; distributed control; multiagent systems (MASs); nonsmooth analysis; robust control; sliding mode control

Funding

  1. Fondazione di Sardegna under Project ODIS [CUP:F72F16003170002]
  2. Fondazione di Sardegna under Project SISCO [CUP:F74I19001060007]
  3. Italian Ministry of Research and Education (MIUR) [RBSI14OF6H]
  4. Sardinian Regional Government
  5. Project MOSIMA, FSC 2014-2020, annuity 2017, Subject area 3, Action Line 3.1. [RASSR05871]
  6. POR SARDEGNA FSE 2014-2020-Asse III, Azione 10.5.12, Avviso di chiamata per il finanziamento di Progetti di ricerca Anno 2017

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This article proposes a design approach based on integral sliding mode control to enhance the robustness of multiagent systems in executing distributed optimization and consensus protocols. The approach aims to reject disturbances and uncertainties while maintaining the same emerging behavior as a reference multiagent system designed for a specific coordination objective.
This article proposes a design approach, based on the integral sliding mode control paradigm, devoted to give robustness to multiagent systems executing arbitrary distributed optimization and consensus protocols which do not take this feature into account. Robustness is understood as the capability of rejecting the effect of exogenous disturbances, parameter uncertainties, and uncertain couplings between the agents dynamics, by achieving the same emerging behavior as that corresponding to a reference multiagent system (MAS) designed to achieve a given coordination objective in the nominal case. The proposed approach yields a distributed state feedback which can seamlessly be integrated into existing distributed optimization and cooperative control protocols which are usually prone to disturbances and uncertainties corrupting the MAS dynamics. Nonsmooth Lyapunov analysis supports the claimed properties. Numerical simulations, showing how popular distributed optimization and consensus protocols can effectively be robustified are discussed.

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