In this paper, we introduce a novel predefined-time event-triggered control methodology, which integrates the benefits of predefined-time control and event-triggered control. This scheme enables a chaotic system to reach stability quickly while effectively reducing the number of controller updates. In this paper, two predefined-time event-triggered controllers are conceived, and the validity of the presented control strategy is demonstrated. The outcomes of the numerical simulation illustrate that the chaotic system can be rapidly stabilised inside a predefined time under the presented control strategy. In addition, the number of controller updates is significantly reduced compared to continuous control and existing predefined-time event-triggered control schemes, resulting in more efficient resource utilisation. Also, the predefined-time control used in this scheme has the advantage of shorter system convergence time compared to finite-time control and fixed-time control.
Abed AssaliE (2024) Different control strategies for predefined-time synchronisation of nonidentical chaotic systems. International Journal of Systems Science55(1): 119–129.
2.
Anguiano-GijónCAMuñoz-VázquezAJSánchez-TorresJD, et al. (2019) On predefined-time synchronisation of chaotic systems. Chaos, Solitons & Fractals122: 172–178.
3.
BhatSPBernsteinDS (2000) Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization38(3): 751–766.
4.
ChenJZhaoXXiaoJ (2024) Novel predefined-time control for fractional-order systems and its application to chaotic synchronization. Mathematical Methods in the Applied Sciences47(7): 5427–5440.
5.
DongCYangMJiaL, et al. (2024) Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors. Physica A: Statistical Mechanics and Its Applications633: 129391. et al.
6.
DongYYinCXuC, et al. (2023) A quantum image encryption method for dual chaotic systems based on quantum logistic mapping. Physica Scripta99(1): 015103.
7.
FanSGuoYJiY (2019) Fixed-time consensus for leader-following multi-groups of multi-agent systems with unknown non-linear inherent dynamics. In: 2019 Chinese Control Conference (CCC), Guangdong, China, 27–30 July 2019, pp. 5903–5908. New York: IEEE.
8.
HeemelsWPMHJohanssonKHTabuadaP (2012) An introduction to event-triggered and self-triggered control. In: 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), Maui, HI, 10–13 December 2012, pp. 3270–3285. New York: IEEE.
9.
JahanshahiHSajjadiSSBekirosS, et al. (2021) On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller. Chaos, Solitons & Fractals144: 110698.
10.
KızmazH (2024) Control & synchronization of a unified chaotic system using an adaptive controller with an extended Kalman–Bucy-filter based Auto-Tuner. Transactions of the Institute of Measurement and Control46(9): 1680–1693.
11.
LiQLiuS (2018) Switching event-triggered network-synchronization for chaotic systems with different dimensions. NeuroComputing311: 32–40.
12.
LiQChenYMaL (2023) Predefined-time control of chaotic finance/economic system based on event-triggered mechanism. AIMS Mathematics8(4): 8000–8017.
13.
LiuSZhouL (2016) Network synchronization and application of chaotic Lur’e systems based on event-triggered mechanism. Nonlinear Dynamic83: 2497–2507.
14.
LorenzEN (1963) Deterministic nonperiodic flow. Journal of Atmospheric Sciences20(2): 130–141.
15.
NiJLiuLLiuC, et al. (2016) Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system. IEEE Transactions on Circuits and Systems II: Express Briefs64(2): 151–155. et al.
16.
NiJLiuCLiuK, et al.(2014) Finite-time sliding mode synchronization of chaotic systems. Chinese Physics B23(10): 100504.
17.
PolyakovA (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control57(8): 2106–2110.
18.
PyragasK (1992) Continuous control of chaos by self-controlling feedback. Physics Letters A170(6): 421–428.
19.
RakkiyappanRLathaVPZhuQ, et al. (2017) Exponential synchronization of Markovian jumping chaotic neural networks with sampled-data and saturating actuators. Nonlinear Analysis: Hybrid Systems24: 28–44.
20.
Sánchez-TorresJDGómez-GutiérrezDLópezE, et al. (2018) A class of predefined-time stable dynamical systems. IMA Journal of Mathematical Control and Information35(Suppl. 1): i1–i29.
21.
SingJPRoyBK (2018) Second order adaptive time varying sliding mode control for synchronization of hidden chaotic orbits in a new uncertain 4-D conservative chaotic system. Transactions of the Institute of Measurement and Control40(13): 3573–3586.
22.
SuHLuoRHuangM, et al. (2022) Robust fixed time control of a class of chaotic systems with bounded uncertainties and disturbances. International Journal of Control, Automation and Systems20(3): 813–822.
23.
VedullaFMSanchezMJRodriguezMP (2009) A pulsed control method for chaotic systems. IEEE Latin America Transactions7(1): 1–11.
24.
WangCTnunayHZuoZ, et al. (2018) Fixed-time formation control of multirobot systems: Design and experiments. IEEE Transactions on Industrial Electronics66(8): 6292–6301.
25.
WangJTianB (2022) Fixed-time distributed event-triggered formation control with state-dependent threshold. International Journal of Robust and Nonlinear Control32(3): 1209–1228.
26.
WangLDongTGeMF (2019) Finite-time synchronization of memristor chaotic systems and its application in image encryption. Applied Mathematics and Computation347: 293–305.
27.
WuJWangXMaR (2021) Stochastic fixed-time synchronization of chaotic systems via smooth control. Journal of Mechanical Science and Technology35(9): 4161–4168.
28.
XuLMaHXiaoS (2018) Exponential synchronization of chaotic Lur’e systems using an adaptive event-triggered mechanism. IEEE Access6: 61295–61304.
29.
YaoQLiQAlotaibiA, et al. (2023) Neural learning control methodology for predefined-time synchronization of unknown chaotic systems. Fractals31(6): 2340146.
30.
YuNZhuW (2021) Event-triggered impulsive chaotic synchronization of fractional-order differential systems. Applied Mathematics and Computation388: 125554.
31.
ZhangDMeiJMiaoP (2017) Global finite-time synchronization of different dimensional chaotic systems. Applied Mathematical Modelling48: 303–315.
32.
ZhangHLiMChenY (2022a) Event-triggered dynamic surface control for nonlinear system with constraints. Transactions of the Institute of Measurement and Control.
33.
ZhangMZangHBaiL (2022b) A new predefined-time sliding mode control scheme for synchronizing chaotic systems. Chaos, Solitons & Fractals164: 112745.
