L2-gain analysis for dynamic event-triggered networked control systems with packet losses and quantization

Abstract The problem of event-triggered output feedback control for networked control systems (NCSs) with packet losses and quantization is addressed. A new dynamic quantization scheme is proposed to prevent saturation of the quantizer in the presence of external disturbances , and using the emulation-based approach, we show how to design the event-triggering conditions to guarantee the L 2 -gain performance of the overall system. To cope with the successive packet losses and the dynamic quantization, the NCS is embedded into a hybrid dynamical system, which is capable of describing these dynamics. Then, a novel Lyapunov function type is constructed to analyze the L 2 -gain performance with the quantization and packet dropout effects. Furthermore, owing to the proposed method, the Zeno phenomenon resulting from the transmission instants and updates of quantizer are prevented by introducing a minimum inter-event time. Finally, a numerical simulation is introduced to demonstrate the feasibility of the proposed design approach.

[1]  R. Sanfelice,et al.  Hybrid dynamical systems , 2009, IEEE Control Systems.

[2]  Daniel E. Quevedo,et al.  Robust stability of packetized predictive control of nonlinear systems with disturbances and Markovian packet losses , 2012, Autom..

[3]  Tamer Basar,et al.  Design and Analysis of Distributed Averaging With Quantized Communication , 2016, IEEE Trans. Autom. Control..

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

[5]  Koji Tsumura,et al.  Tradeoffs between quantization and packet loss in networked control of linear systems , 2009, Autom..

[6]  Tamer Basar,et al.  Minimax control over unreliable communication channels , 2015, Autom..

[7]  Daniel Liberzon,et al.  Hybrid feedback stabilization of systems with quantized signals , 2003, Autom..

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

[9]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[10]  Jan Lunze,et al.  Event-based control with communication delays and packet losses , 2012, Int. J. Control.

[11]  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.

[12]  Chao Ma,et al.  A Stochastic Sampling Consensus Protocol of Networked Euler–Lagrange Systems With Application to Two-Link Manipulator , 2015, IEEE Transactions on Industrial Informatics.

[13]  Dragan Nesic,et al.  A Lyapunov Proof of an Improved Maximum Allowable Transfer Interval for Networked Control Systems , 2007, IEEE Transactions on Automatic Control.

[14]  Dragan Nesic,et al.  Stabilization of Nonlinear Systems Using Event-Triggered Output Feedback Controllers , 2014, IEEE Transactions on Automatic Control.

[15]  Tamer Basar,et al.  Stochastic Networked Control Systems: Stabilization and Optimization under Information Constraints , 2013 .

[16]  Zhi-Hong Guan,et al.  Event-triggered control for networked control systems with quantization and packet losses , 2015, J. Frankl. Inst..

[17]  Paulo Tabuada,et al.  Periodic event-triggered control for nonlinear systems , 2013, 52nd IEEE Conference on Decision and Control.

[18]  Tomohisa Hayakawa,et al.  Networked Control Under Random and Malicious Packet Losses , 2016, IEEE Transactions on Automatic Control.

[19]  Hamid Reza Karimi,et al.  Adaptive-Critic Design for Decentralized Event-Triggered Control of Constrained Nonlinear Interconnected Systems Within an Identifier-Critic Framework , 2021, IEEE Transactions on Cybernetics.

[20]  Wpmh Maurice Heemels,et al.  Event-Triggered Quantized Control for Input-to-State Stabilization of Linear Systems With Distributed Output Sensors , 2019, IEEE Transactions on Automatic Control.

[21]  T. Başar,et al.  To measure or to control: optimal control with scheduled measurements and controls , 2006, 2006 American Control Conference.

[22]  W. P. M. H. Heemels,et al.  Event-triggered control systems under packet losses , 2017, Autom..

[23]  W. P. M. H. Heemels,et al.  Output-Based and Decentralized Dynamic Event-Triggered Control With Guaranteed $\mathcal{L}_{p}$- Gain Performance and Zeno-Freeness , 2017, IEEE Transactions on Automatic Control.

[24]  Wei Wang,et al.  Periodic Event-Triggered Control for Nonlinear Networked Control Systems , 2020, IEEE Transactions on Automatic Control.

[25]  Nathan van de Wouw,et al.  Networked and quantized control systems with communication delays , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[26]  Antoine Girard,et al.  Dynamic Triggering Mechanisms for Event-Triggered Control , 2013, IEEE Transactions on Automatic Control.

[27]  Tamer Basar,et al.  Optimal control of LTI systems over unreliable communication links , 2006, Autom..

[28]  Dragan Nesic,et al.  Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems , 2009, IEEE Transactions on Automatic Control.

[29]  W. P. M. H. Heemels,et al.  Dynamic event-triggered control under packet losses: The case with acknowledgements , 2015, 2015 International Conference on Event-based Control, Communication, and Signal Processing (EBCCSP).

[30]  Tamer Basar,et al.  Distributed averaging with quantized communication over dynamic graphs , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[31]  Yuhu Wu,et al.  Event-Triggered Optimal Control for Discrete-Time Switched Nonlinear Systems With Constrained Control Input , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[32]  W. P. M. H. Heemels,et al.  Periodic Event-Triggered Control for Linear Systems , 2013, IEEE Trans. Autom. Control..

[33]  Dragan Nesic,et al.  Lyapunov functions for ℒ2 and input-to-state stability in a class of quantized control systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[34]  T. Başar,et al.  Optimal Estimation with Limited Measurements , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.