International Journal of Robust and Nonlinear Control

Research Article

Event-driven actuators: to zero or to hold?

Corresponding Author

Ge Guo

School of Information Sciences and Technology, Dalian Maritime University, Dalian, 116026 China

Correspondence to: Ge Guo, School of Information Sciences and Technology, Dalian Maritime University, Dalian, 116026, China.

E-mail: [email protected]

Search for more papers by this author

Zibao Lu,

Zibao Lu

School of Information Sciences and Technology, Dalian Maritime University, Dalian, 116026 China

Search for more papers by this author

Peng Shi,

Peng Shi

College of Engineering and Science, Victoria University, Melbourne, 8001, Vic, Australia

School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia

Search for more papers by this author

Ge Guo,

Corresponding Author

Ge Guo

School of Information Sciences and Technology, Dalian Maritime University, Dalian, 116026 China

Correspondence to: Ge Guo, School of Information Sciences and Technology, Dalian Maritime University, Dalian, 116026, China.

E-mail: [email protected]

Search for more papers by this author

Zibao Lu,

Zibao Lu

School of Information Sciences and Technology, Dalian Maritime University, Dalian, 116026 China

Search for more papers by this author

Peng Shi,

Peng Shi

College of Engineering and Science, Victoria University, Melbourne, 8001, Vic, Australia

School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia

Search for more papers by this author

First published: 30 May 2013

https://doi.org/10.1002/rnc.3023

Citations: 26

Share a link

Email
Wechat
Bluesky

SUMMARY

This paper investigates networked control systems where a number of actuators are involved but only a subset of them is assigned to be active at a time. The assignment of actuators is driven by a random event modeled as a Markov chain. When an actuator is not assigned access to the current control signal, either a zero or the output of a zero-order hold (ZOH) is used as the control signal. For both cases, a stability analysis and control design framework dependent on the states of the Markov chain is established for linear discrete systems. It is shown that the resulted sufficient and necessary stability condition for the zero-based system is more easily solvable than that of the ZOH-based case. Numerical examples have shown that the use of zero control may yield better performance than the ZOH strategy. Copyright © 2013 John Wiley & Sons, Ltd.

REFERENCES

1 Brockett RW. Stabilization of motor networks. Proceedings of the IEEE Conference on Decision and Control, New Orleans, LA, 1995; 1484–1488.
Google Scholar
2 Savkin A, Evans R, Shafidas E. The problem of optimal robust sensor scheduling. Proceedings of the IEEE Conference on Decision and Control, Sydney, Australia, 2000; 3791–3796.
Google Scholar
3 Rehbinder H, Sanfridson M.Scheduling of a limited communication channel for optimal control. Automatica 2004; 40(3): 491–500.
10.1016/j.automatica.2003.10.022
Web of Science® Google Scholar
4 Zhang L, Hristu-Varsakelis D.Communication and control co-design for networked control systems. Automatica 2006; 42(5): 953–958.
10.1016/j.automatica.2006.01.022
Web of Science® Google Scholar
5 Guo G.A switching system approach to sensor and actuator assignment for stabilization via limited multi-packet transmitting channels. International Journal of Control 2011; 84(1): 78–93.
10.1080/00207179.2010.540715
Web of Science® Google Scholar
6 Guo G.Linear systems with medium-access constraint and Markov actuator assignment. IEEE Transactions on Circuits and Systems-I 2010; 57(11): 2999–3010.
10.1109/TCSI.2010.2050227
Web of Science® Google Scholar
7 Guo G, Lu ZB, Han QL.Control with Markov sensors/actuators assignment. IEEE Transactions on Automatic Control 2012; 57(7): 1799–1804.
10.1109/TAC.2011.2176393
Web of Science® Google Scholar
8 Wong WS.New protocol sequences for random-access channels without feedback. IEEE Transactions on Information Theory 2007; 53(6): 2060–2071.
10.1109/TIT.2007.896867
Web of Science® Google Scholar
9 You K, Xie L.Minimum data rate for mean square stabilizability of linear systems with Markovian packet losses. IEEE Transactions on Automatic Control 2011; 56(4): 772–785.
10.1109/TAC.2010.2068590
Web of Science® Google Scholar
10 Yang R, Shi P, Liu G, Gao H.Network-based feedback control for systems with mixed delays based on quantization and dropout compensation. Automatica 2011; 47(2): 2805–2809.
10.1016/j.automatica.2011.09.007
Web of Science® Google Scholar
11 Schenato L.To zero or to hold control inputs with lossy links? IEEE Transactions on Automatic Control 2009; 54(5): 1093–1099.
10.1109/TAC.2008.2010999
Web of Science® Google Scholar
12 Hristu-Varsakelis D.Short-period communication and the role of zero-order holding in networked control systems. IEEE Transactions on Automatic Control 2008; 53(5): 1285–1290.
10.1109/TAC.2008.921020
Web of Science® Google Scholar
13 Nilsson J, Bernhardsson B. LQG control over a Markov communication network. Proceedings of the IEEE Conference on Decision and Control, San Diego, CA, 1997; 4586–4591.
Google Scholar
14 Bolzern P, Colaneri P, De Nicolao G.Markov jump linear systems with switching transition rates: mean square stability with dwell-time. Automatica 2010; 46(6): 1081–1088.
10.1016/j.automatica.2010.03.007
Web of Science® Google Scholar
15 Brewer J.Kronecker products and matrix calculus in system theory. IEEE Transactions on Circuits and Systems 1978; 22(9): 772–781.
10.1109/TCS.1978.1084534
Web of Science® Google Scholar
16 Taylor AE, Lay DC. Introduction to Functional Analysis. Wiley: New York, 1980.
Google Scholar
17 Lu Z, Guo G.Control with sensors/actuators assigned by Markov chains: transition rates partially unknown. IET Control Theory and Applications accepted for publication.
Google Scholar
18 Shi P, Boukas EK, Agarwal R.Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Transactions on Automatic Control 1999; 44(11): 2139–2144.
10.1109/9.802932
Web of Science® Google Scholar

Citing Literature

Volume24, Issue17

25 November 2014

Pages 2761-2773

Event-driven actuators: to zero or to hold?

SUMMARY

REFERENCES

Citing Literature

References

Information

About Wiley Online Library

Help & Support

Opportunities

Connect with Wiley

Event-driven actuators: to zero or to hold?

SUMMARY

REFERENCES

Citing Literature

References

Related

Information