Event-triggered output feedback control for Takagi-Sugeno fuzzy systems

This paper considers the H∞ control problem for discrete-time Takagi-Sugeno (T-S) model fuzzy systems with event-triggered output feedback. The measurement output is transmitted to a fuzzy controller when the output error exceeds a pre-given threshold. The parallel distribution compensation (PDC) can not be used for controller design since the controller may not receive enough information about premise variables of the plant due to the event-triggered transmission scheme. A fuzzy dynamical output feedback controller is proposed to regularly generate the control input, which makes the controlled system stable with a certain H∞ disturbance attenuation level. A numerical example is given to show the effectiveness of the proposed approach.

[1]  Jin Bae Park,et al.  Robust fuzzy control of nonlinear systems with parametric uncertainties , 2001, IEEE Trans. Fuzzy Syst..

[2]  Manuel Mazo,et al.  Decentralized Event-Triggered Control Over Wireless Sensor/Actuator Networks , 2010, IEEE Transactions on Automatic Control.

[3]  Jun Yoneyama,et al.  Output feedback control for discrete-time Takagi-Sugeno fuzzy systems , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[4]  Qing-Long Han,et al.  A Novel Event-Triggered Transmission Scheme and ${\cal L}_{2}$ Control Co-Design for Sampled-Data Control Systems , 2013, IEEE Transactions on Automatic Control.

[5]  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.

[6]  Wilfrid Perruquetti,et al.  A state dependent sampling for linear state feedback , 2012, Autom..

[7]  Qing-Long Han,et al.  Event-triggered L2 controller design of networked control systems with quantized measurement , 2012, 2012 2nd Australian Control Conference.

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

[9]  James Lam,et al.  Dynamic output feedback H ∞ control of discrete-time fuzzy systems: a fuzzy-basis-dependent Lyapunov function approach , 2007, Int. J. Syst. Sci..

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

[11]  Qing-Long Han,et al.  H∞ control design for network-based T-S fuzzy systems with asynchronous constraints on membership functions , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

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

[13]  Jianbin Qiu,et al.  Asynchronous Output-Feedback Control of Networked Nonlinear Systems With Multiple Packet Dropouts: T–S Fuzzy Affine Model-Based Approach , 2011, IEEE Transactions on Fuzzy Systems.

[14]  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.

[15]  Manuel Mazo,et al.  Decentralized event-triggered control with asynchronous updates , 2011, IEEE Conference on Decision and Control and European Control Conference.

[16]  W. P. M. H. Heemels,et al.  Model-based periodic event-triggered control for linear systems , 2013, Autom..

[17]  Gang Feng,et al.  Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions , 2004, IEEE Trans. Fuzzy Syst..

[18]  James Lam,et al.  Control Design for Fuzzy Systems Based on Relaxed Nonquadratic Stability and $H_{\infty}$ Performance Conditions , 2007, IEEE Transactions on Fuzzy Systems.

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

[20]  Paulo Tabuada,et al.  To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems , 2008, IEEE Transactions on Automatic Control.

[21]  Qing-Long Han,et al.  Decentralized event-triggered control for sampled-data systems with asynchronous sampling , 2013, 2013 American Control Conference.