论文信息 - Controlling Diffusive Network Dynamics using a Stochastically-Mobile Sensor-Actuator Platform

Controlling Diffusive Network Dynamics using a Stochastically-Mobile Sensor-Actuator Platform

Abstract Control of a diffusive network process using measurements and actuation from a stochastically-circulating platform is studied. A network-diffusion model is extended to represent a mobile platform with circulates in the network in a Markov fashion, and applies a local proportional-integral-derivative (PID) feedback control. A statistical analysis of the closed-loop dynamics is undertaken using a Markov jump-linear system reformulation. For the proportional-control case, formal results on regulation and on the settling time are established. Simulations are also used to compare proportional and PID controls.

Sandip Roy | Mengran Xue | Amirkhosro Vosughi

[1] K. Loparo,et al. Stochastic stability properties of jump linear systems , 1992 .

[2] Sandip Roy,et al. Sparse Resource Allocation for Linear Network Spread Dynamics , 2017, IEEE Transactions on Automatic Control.

[3] Alexandre M. Bayen,et al. Evaluation of traffic data obtained via GPS-enabled mobile phones: The Mobile Century field experiment , 2009 .

[4] Sandip Roy,et al. Target control and source estimation metrics for dynamical networks , 2019, Autom..

[5] Patrizio Colaneri,et al. On almost sure stability of continuous-time Markov jump linear systems , 2006, Autom..

[6] Patrizio Colaneri,et al. Stochastic stability of Positive Markov Jump Linear Systems , 2014, Autom..

[7] Patrizio Colaneri,et al. Markov Jump Linear Systems with switching transition rates: Mean square stability with dwell-time , 2010, Autom..

[8] Maria Elena Valcher,et al. On the zero pattern properties and asymptotic behavior of continuous-time positive system trajectories , 2007 .

[9] Marimuthu Palaniswami,et al. Internet of Things (IoT): A vision, architectural elements, and future directions , 2012, Future Gener. Comput. Syst..

[10] L. Chua,et al. Synchronization in an array of linearly coupled dynamical systems , 1995 .

[11] Sandip Roy,et al. Static decentralized control of a single-integrator network with Markovian sensing topology , 2005, Proceedings of the 2005, American Control Conference, 2005..