Design of event conditions in event-triggered control systems: a non-fragile control system approach

This study investigates the design of event conditions in the event-triggered control systems. The event-triggered control systems are formulated as uncertain systems with non-fragile controllers. Then, a non-fragile control system approach is used to design the event conditions. Based on this approach, a new type of event conditions is proposed, which depends on the difference between a matrix induced 2-norm and a vector Euclidian norm. It is shown that the proposed event condition is less conservative and leads to larger inter-event times than those in some existing works. Furthermore, a method in terms of linear matrix inequality is proposed to design the parameters in the event conditions. Also, the case of non-zero transmission delays is considered. Finally, a numerical example is provided to illustrate the efficiency and feasibility of the obtained results.

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

[2]  Laurent El Ghaoui,et al.  Robust Solutions to Least-Squares Problems with Uncertain Data , 1997, SIAM J. Matrix Anal. Appl..

[3]  Seyed Hossein Mousavi,et al.  Integral-based event-triggered control scheme for a general class of non-linear systems , 2015 .

[4]  Y. Jia,et al.  Non-fragile dynamic output feedback control for linear systems with time-varying delay , 2009 .

[5]  W. P. M. H. Heemels,et al.  Event-Separation Properties of Event-Triggered Control Systems , 2014, IEEE Transactions on Automatic Control.

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

[7]  Ce Liu,et al.  Dynamic output‐feedback control for linear systems by using event‐triggered quantisation , 2015 .

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

[9]  Fei Hao,et al.  Observer-based event-triggered control for certain and uncertain linear systems , 2013, IMA J. Math. Control. Inf..

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

[11]  Shankar P. Bhattacharyya,et al.  Robust, fragile, or optimal? , 1997, IEEE Trans. Autom. Control..

[12]  Dan Liu,et al.  Decentralized event-triggered control strategy in distributed networked systems with delays , 2013 .

[13]  Paulo Tabuada,et al.  A Framework for the Event-Triggered Stabilization of Nonlinear Systems , 2015, IEEE Transactions on Automatic Control.

[14]  Dong Yue,et al.  A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems , 2013, IEEE Transactions on Automatic Control.

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

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

[17]  Zhong-Ping Jiang,et al.  Event-based control of nonlinear systems with partial state and output feedback , 2015, Autom..

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

[20]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.