Distributed event-based control strategies for interconnected linear systems

This study presents distributed event-based control strategies for a networked dynamical system consisting of N linear time-invariant interconnected subsystems. Each subsystem broadcasts its state over the network according to certain triggering rules that only depend on local information. The system can converge asymptotically to the equilibrium point under the proposed control design, and the existence of a lower bound for the broadcasting period is guaranteed. A novel model-based approach is derived to reduce the communication between the agents. Simulation results show the effectiveness of the proposed approaches and illustrate the theoretical results.

[1]  Xiaofeng Wang,et al.  Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability , 2009, IEEE Transactions on Automatic Control.

[2]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[3]  Karl Johan Åström,et al.  Event Based Control , 2008 .

[4]  Siddhartha S. Srinivasa,et al.  Decentralized estimation and control of graph connectivity in mobile sensor networks , 2008, ACC.

[5]  Panos J. Antsaklis,et al.  On the model-based control of networked systems , 2003, Autom..

[6]  Karl Henrik Johansson,et al.  Control of Multi-Agent Systems via Event-based Communication , 2011 .

[7]  Karl Henrik Johansson,et al.  Scheduling packets for Event-triggered control , 2009, 2009 European Control Conference (ECC).

[8]  Karl Henrik Johansson,et al.  Event-triggered control for multi-agent systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[9]  A. Stefanovska.  Coupled Oscillatros: Complex But Not Complicated Cardiovascular and Brain Interactions , 2007, IEEE Engineering in Medicine and Biology Magazine.

[10]  Paulo Tabuada,et al.  To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

[11]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[12]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[13]  G. Zames,et al.  Multivariable feedback, sensitivity, and decentralized control , 1983 .

[14]  Alexandre Seuret,et al.  Event-triggered sampling algorithms based on a Lyapunov function , 2011, IEEE Conference on Decision and Control and European Control Conference.

[15]  Aneta Stefanovska.  Coupled oscillators: Complex but not complicated cardiovascular and brain interactions , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[16]  W. P. M. H. Heemels,et al.  Analysis of event-driven controllers for linear systems , 2008, Int. J. Control.

[17]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[18]  Karl Henrik Johansson,et al.  Distributed event-based control for interconnected linear systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[19]  Xiaoming Hu,et al.  Analysis and Design of Nonlinear Control Systems , 2011 .

[20]  Xiaofeng Wang,et al.  Event-triggered broadcasting across distributed networked control systems , 2008, 2008 American Control Conference.

[21]  Sandra Hirche,et al.  Optimal design of decentralized event-triggered controllers for large-scale systems with contention-based communication , 2011, IEEE Conference on Decision and Control and European Control Conference.

[22]  Eloy García,et al.  Decentralized model-based event-triggered control of networked systems , 2012, 2012 American Control Conference (ACC).

[23]  Anton Cervin,et al.  Scheduling of event-triggered controllers on a shared network , 2008, 2008 47th IEEE Conference on Decision and Control.

[24]  Randy A. Freeman,et al.  Multi-Agent Coordination by Decentralized Estimation and Control , 2008, IEEE Transactions on Automatic Control.

[25]  Fabian R. Wirth,et al.  On a small-gain approach to distributed event-triggered control , 2010, ArXiv.

[26]  C. Loan.  The Sensitivity of the Matrix Exponential , 1977 .

[27]  Alexandre Arenas,et al.  Phase Patterns of Coupled Oscillators with Application to Wireless Communication , 2008, BIOWIRE.

[28]  Manuel Mazo,et al.  Decentralized Event-Triggered Control Over Wireless Sensor/Actuator Networks , 2010, IEEE Transactions on Automatic Control.