On the choice of the event trigger in event-based estimation

In event-based state estimation, the event trigger decides whether or not a measurement is used for updating the state estimate. In a remote estimation scenario, this allows for trading off estimation performance for communication, and thus saving resources. In this paper, popular event triggers for estimation, such as send-on-delta (SoD), measurement-based triggering (MBT), variance-based triggering (VBT), and relevant sampling (RS), are compared for the scenario of a scalar linear process with Gaussian noise. First, the analysis of the information pattern underlying the triggering decision reveals a fundamental advantage of triggers employing the real-time measurement in their decision (such as MBT, RS) over those that do not (VBT). Second, numerical simulation studies support this finding and, moreover, provide a quantitative evaluation of the triggers in terms of their average estimation versus communication performance.

[1]  Karl Henrik Johansson,et al.  Wireless event-triggered controller for a 3D tower crane lab process , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[2]  Joris Sijs,et al.  Relevant Sampling Applied to Event-Based State-Estimation , 2010, 2010 Fourth International Conference on Sensor Technologies and Applications.

[3]  Toivo Henningsson,et al.  Event-Based Control and Estimation with Stochastic Disturbances , 2008 .

[4]  Christian Stöcker,et al.  Experimental evaluation of two complementary decentralized event-based control methods , 2015 .

[5]  Uwe D. Hanebeck,et al.  Event-based state estimation with negative information , 2013, Proceedings of the 16th International Conference on Information Fusion.

[6]  Manuel Mazo,et al.  System Architectures, Protocols and Algorithms for Aperiodic Wireless Control Systems , 2014, IEEE Transactions on Industrial Informatics.

[7]  Daniel Lehmann,et al.  Extension and experimental evaluation of an event-based state-feedback approach , 2011 .

[8]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[9]  Marek Miskowicz,et al.  Event-based sampling strategies in networked control systems , 2014, 2014 10th IEEE Workshop on Factory Communication Systems (WFCS 2014).

[10]  Mircea Lazar,et al.  On Event Based State Estimation , 2009, HSCC.

[11]  José Sánchez,et al.  On the Application of Different Event-Based Sampling Strategies to the Control of a Simple Industrial Process , 2009, Sensors.

[12]  Raffaello D'Andrea,et al.  Reduced communication state estimation for control of an unstable networked control system , 2011, IEEE Conference on Decision and Control and European Control Conference.

[13]  Young Soo Suh,et al.  Send-On-Delta Sensor Data Transmission With A Linear Predictor , 2007, Sensors (Basel, Switzerland).

[14]  James Moyne,et al.  Using deadbands to reduce communication in networked control systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[15]  V. Vasyutynskyy,et al.  Towards Comparison of Deadband Sampling Types , 2007, 2007 IEEE International Symposium on Industrial Electronics.

[16]  Sebastian Trimpe,et al.  Event-Based State Estimation With Variance-Based Triggering , 2012, IEEE Transactions on Automatic Control.

[17]  Petros G. Voulgaris,et al.  On optimal ℓ∞ to ℓ∞ filtering , 1995, Autom..

[18]  Raffaello D'Andrea,et al.  An Experimental Demonstration of a Distributed and Event-Based State Estimation Algorithm , 2011 .

[19]  Marek Miskowicz,et al.  Send-On-Delta Concept: An Event-Based Data Reporting Strategy , 2006, Sensors (Basel, Switzerland).

[20]  S. Trimpe,et al.  Event-Based State Estimation with Switching Static-Gain Observers ⋆ , 2012 .

[21]  W. P. M. H. Heemels,et al.  Analysis and experimental validation of a sensor-based event-driven controller , 2007, 2007 American Control Conference.

[22]  W. Marsden I and J , 2012 .

[23]  Karl Johan Åström,et al.  Log-concave Observers , 2006 .

[24]  Benjamin Noack,et al.  A study on event triggering criteria for estimation , 2014, 17th International Conference on Information Fusion (FUSION).