1. Distributed Control of Networked Dynamical Systems: Static Feedback, Integral Action and Consensus.
- Author
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Andreasson, Martin, Dimarogonas, Dimos V., Sandberg, Henrik, and Johansson, Karl Henrik
- Subjects
DYNAMICAL systems ,LYAPUNOV functions ,DECENTRALIZED control systems ,NONLINEAR control theory ,POWER system simulation - Abstract
This paper analyzes distributed control protocols for first- and second-order networked dynamical systems. We propose a class of nonlinear consensus controllers where the input of each agent can be written as a product of a nonlinear gain, and a sum of nonlinear interaction functions. By using integral Lyapunov functions, we prove the stability of the proposed control protocols, and explicitly characterize the equilibrium set. We also propose a distributed proportional-integral (PI) controller for networked dynamical systems. The PI controllers successfully attenuate constant disturbances in the network. We prove that agents with single-integrator dynamics are stable for any integral gain, and give an explicit tight upper bound on the integral gain for when the system is stable for agents with double-integrator dynamics. Throughout the paper we highlight some possible applications of the proposed controllers by realistic simulations of autonomous satellites, power systems and building temperature control. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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