Event-Triggered Global Finite-Time Control for a Class of Uncertain Nonlinear Systems

This paper focuses on the problem of global finite-time stabilization for a class of uncertain nonlinear systems with event-triggered inputs. The existing event-based design methods can only partially compensate for the effects of the event-triggered errors and cannot completely counteract them to achieve finite-time control. For this reason, a new method about event triggering mechanism and event-triggered controller codesign is presented based on the idea of backstepping design and the sign function technique. It is proved that the event-triggered control system is the Zeno-free and the newly proposed control strategy ensures the global finite-time stability of the closed-loop systems via Lyapunov analyses and finite-time stability theory, which improves the existing results of only boundedness or asymptotic stability. Finally, two examples are performed to demonstrate the validity of the proposed strategy.

[1]  Guang-Hong Yang,et al.  Event-Triggered Adaptive Output Feedback Control for a Class of Uncertain Nonlinear Systems With Actuator Failures , 2020, IEEE Transactions on Cybernetics.

[2]  Karl Henrik Johansson,et al.  Distributed event-based control for interconnected linear systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[3]  Weisheng Chen,et al.  Global finite-time adaptive stabilization for nonlinear systems with multiple unknown control directions , 2016, Autom..

[4]  Guang-Hong Yang,et al.  Event‐triggered adaptive backstepping control for parametric strict‐feedback nonlinear systems , 2018 .

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

[6]  Changyun Wen,et al.  Global Exponential/Finite-Time Stability of Nonlinear Adaptive Switching Systems With Applications in Controlling Systems With Unknown Control Direction , 2018, IEEE Transactions on Automatic Control.

[7]  Hongye Su,et al.  Event-Triggered Output Feedback Control for a Class of Uncertain Nonlinear Systems , 2019, IEEE Transactions on Automatic Control.

[8]  Kemei Zhang,et al.  Finite-Time Stabilization of Stochastic High-Order Nonlinear Systems With FT-SISS Inverse Dynamics , 2019, IEEE Transactions on Automatic Control.

[9]  Paulo Tabuada,et al.  Event-triggered and self-triggered stabilization of distributed networked control systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[10]  Ji Li,et al.  Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems , 2010, Int. J. Control.

[11]  Kyriakos G. Vamvoudakis,et al.  Model-free event-triggered control algorithm for continuous-time linear systems with optimal performance , 2018, Autom..

[12]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[13]  Hongye Su,et al.  Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems , 2017, 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]  Ting Li,et al.  A new approach to fast global finite-time stabilization of high-order nonlinear system , 2017, Autom..

[16]  Jun Fu,et al.  Adaptive Finite-Time Stabilization of a Class of Uncertain Nonlinear Systems via Logic-Based Switchings , 2017, IEEE Transactions on Automatic Control.

[17]  Paulo Tabuada,et al.  Periodic event-triggered control of nonlinear systems using overapproximation techniques , 2018, Autom..

[18]  Guang-Hong Yang,et al.  Event-triggered fuzzy control for nonlinear networked control systems , 2017, Fuzzy Sets Syst..

[19]  Yungang Liu,et al.  Global finite‐time stabilization via time‐varying output‐feedback for uncertain nonlinear systems with unknown growth rate , 2017 .

[20]  Hongye Su,et al.  Adaptive compensation for actuator failures with event-triggered input , 2017, Autom..

[21]  Shihua Li,et al.  Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization , 2011, IEEE Transactions on Automatic Control.

[22]  Jorge Cortés,et al.  Event-Triggered Stabilization of Linear Systems Under Bounded Bit Rates , 2014, IEEE Transactions on Automatic Control.

[23]  Guang‐Hong Yang,et al.  Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems , 2019, International Journal of Robust and Nonlinear Control.