Event-triggered output-feedback ℋ ∞ control for networked control systems with time-varying sampling

This study investigates the problem of event-triggered output-feedback ℋ∞ control for networked control systems (NCSs) with non-uniform sampling. First, an event-triggered communication scheme is proposed, in which the output of the system is taken sample with a non-uniform sampling period, while whether or not the sampled data should be transmitted is determined by a predetermined well-designed event-triggering condition. Second, the event-triggered NCSs are modelled as a time-delay system, which regards the measured output-error between the output at the current sampling instant and the output at the last transmitted sampling instant. As a result, the stability and synthesis criteria are derived to guarantee the uniform ultimate bounded stability and the desired performance while using the less communication bandwidth. Finally, three illustrative examples are used to show the effectiveness of the proposed method.

[1]  Qing-Long Han,et al.  Event-triggered dynamic output feedback control for networked control systems , 2014 .

[2]  W. P. M. H. Heemels,et al.  Periodic event-triggered control based on state feedback , 2011, IEEE Conference on Decision and Control and European Control Conference.

[3]  Xiaofeng Wang,et al.  Self-Triggering Under State-Independent Disturbances , 2010, IEEE Transactions on Automatic Control.

[4]  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).

[5]  Bugong Xu,et al.  Fault Isolation Filter for Networked Control System with Event-Triggered Sampling Scheme , 2011, Sensors.

[6]  Nathan van de Wouw,et al.  Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach , 2011, IEEE Trans. Autom. Control..

[7]  Dong Yue,et al.  Relaxed Stability and Stabilization Conditions of Networked Fuzzy Control Systems Subject to Asynchronous Grades of Membership , 2014, IEEE Transactions on Fuzzy Systems.

[8]  Dong Yue,et al.  To Transmit or Not to Transmit: A Discrete Event-Triggered Communication Scheme for Networked Takagi–Sugeno Fuzzy Systems , 2013, IEEE Transactions on Fuzzy Systems.

[9]  Dong Yue,et al.  Output Feedback Control of Discrete-Time Systems in Networked Environments , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

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

[11]  Qing-Long Han,et al.  A New $H_{{\bm \infty}}$ Stabilization Criterion for Networked Control Systems , 2008, IEEE Transactions on Automatic Control.

[12]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..

[13]  R. Penrose.  A Generalized inverse for matrices , 1955 .

[14]  Manuel Mazo,et al.  An ISS self-triggered implementation of linear controllers , 2009, Autom..

[15]  Songlin Hu,et al.  Event-triggered guaranteed cost control for uncertain discrete-time networked control systems with time-varying transmission delays , 2012 .

[16]  W. P. M. H. Heemels,et al.  Output-Based Event-Triggered Control With Guaranteed ${\cal L}_{\infty}$-Gain and Improved and Decentralized Event-Triggering , 2012, IEEE Transactions on Automatic Control.

[17]  Nathan van de Wouw,et al.  Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance , 2010, IEEE Transactions on Automatic Control.

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

[19]  J.H. Braslavsky,et al.  Level Crossing Sampling in Feedback Stabilization under Data-Rate Constraints , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

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

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

[22]  Gang Feng,et al.  Event-driven observer-based output feedback control for linear systems , 2014, Autom..

[23]  Chen Peng,et al.  Event-triggered communication and H∞H∞ control co-design for networked control systems , 2013, Autom..

[24]  Hui Zhang,et al.  On Energy-to-Peak Filtering for Nonuniformly Sampled Nonlinear Systems: A Markovian Jump System Approach , 2014, IEEE Transactions on Fuzzy Systems.