This paper studies the non-fragile filter design problem for a class of delayed semi-Markov jump systems with non-linear perturbation under event-triggered strategy. By applying the Lyapunov stability theory and matrix integral inequalities, sufficient conditions for the stochastic stability and performance of the filtering error system are obtained. Then, a co-design method of the filter parameters and event-triggered matrices is developed. Finally, two simulation results are given to illustrate the usefulness of the proposed scheme.
AnandSDevASarkarMK, et al. (2021) Non-fragile approach for frequency regulation in power system with event-triggered control and communication delays. IEEE Transactions on Industry Applications57(3): 2187–2201.
2.
BoukasEK (2005) Stochastic Switching Systems: Analysis and Design. Berlin: Birkhäuser.
3.
CaoYLamJ (2000) Robust H∞ control of uncertain Markovian jump systems with time-delay. IEEE Transactions on Automatic Control45(1): 77–83.
4.
ChenYFeiSLiY (2016) Robust stabilization for uncertain saturated time-delay systems: A distributed-delay-dependent polytopic approach. IEEE Transactions on Automatic Control62(7): 3455–3460.
5.
ChenZZhangBLiY, et al. (2020) Design of event-triggered networked control systems via specific triggering quantizer. International Journal of Robust and Nonlinear Control30(16): 6947–6960.
6.
ChenZZhangBZhangY, et al. (2018) Event-based control for networked T-S fuzzy systems via auxiliary random series approach. IEEE Transactions on Cybernetics50(5): 2166–2175.
7.
CuiGYuJShiP (2022a) Observer-based finite-time adaptive fuzzy control with prescribed performance for nonstrict-feedback nonlinear systems. IEEE Transactions on Fuzzy Systems30(3): 767–778.
8.
CuiGYuJWangQ (2022b) Finite-time adaptive fuzzy control for MIMO nonlinear systems with input saturation via improved command-filtered backstepping. IEEE Transactions on Systems, Man, and Cybernetics: Systems52(2): 980–989.
9.
FanSYanHZhangH, et al. (2021) Dynamic event-based non-fragile dissipative state estimation for quantized complex networks with fading measurements and its application. IEEE Transactions on Circuits and Systems – I: Regular Papers68(2): 856–867.
10.
HuDXSongXNLiXR (2022) Extended dissipative-based state estimation for Markov jump coupled neural networks with reaction-diffusion terms. Transactions of the Institute of Measurement and Control44(4): 871–879.
11.
HuangJShiY (2013) Stochastic stability and robust stabilization of semi-Markov jump linear systems. International Journal of Robust and Nonlinear Control23(18): 2028–2043.
12.
JiaXChenXXuS, et al. (2017) Adaptive output feedback control of nonlinear time-delay systems with application to chemical reactor systems. IEEE Transactions on Industrial Electronics64(6): 4792–4799.
13.
JiangBKarimiHRKaoY, et al. (2020) Takagi-Sugeno model based event-triggered fuzzy sliding-mode control of networked control systems with semi-Markovian switchings. IEEE Transactions on Fuzzy Systems28(4): 673–683.
14.
JinYQiWZongG (2021) Finite-time synchronization of delayed semi-Markov neural networks with dynamic event-triggered scheme. International Journal of Control, Automation and Systems19(6): 2297–2308.
15.
KeyumarsiSNobakhtiATavazoeiMS (2021) Non-fragile H∞ order reduction of LTI controllers. IEEE Control Systems Letters5(1): 163–168.
16.
LiJLiZXuY, et al. (2019) Event-triggered non-fragile state estimation for discrete nonlinear Markov jump neural networks with sensor failures. International Journal of Control, Automation and Systems17(5): 1131–1140.
17.
LiuHDingYChengJ (2017) New results on H∞ filtering for Markov jump systems with uncertain transition rates. ISA Transactions69: 43–50.
18.
NingZZhangLMesbahA, et al. (2020) Stability analysis and stabilization of discrete-time non-homogeneous semi-Markov jump linear systems: A polytopic approach. Automatica120: 109080.
19.
ParkPGKoJWJeongC (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica47(1): 235–238.
20.
QiWZongGZhengW (2021) Adaptive event-triggered SMC for stochastic switching systems with semi-Markov process and application to boost converter circuit model. IEEE Transactions on Circuits and Systems – I: Regular Papers68(2): 786–796.
21.
SeuretAGouaisbautFFridmanE (2015) Stability of discrete-time systems with time-varying delays via a novel summation inequality. IEEE Transactions on Automatic Control60(10): 2740–2745.
22.
ShenHChenMWuZ, et al. (2020a) Reliable event-triggered asynchronous extended passive control for semi-Markov jump fuzzy systems and its application. IEEE Transactions on Fuzzy Systems28(8): 1708–1722.
23.
ShenHDaiMLuoY, et al. (2021) Fault-tolerant fuzzy control for semi-Markov jump nonlinear systems subject to incomplete SMK and actuator failures. IEEE Transactions on Fuzzy Systems29(10): 3043–3053.
24.
ShenHLiFCaoJ, et al. (2020b) Fuzzy-model-based output feedback reliable control for network-based semi-Markov jump nonlinear systems subject to redundant channels. IEEE Transactions on Cybernetics50(11): 4599–4609.
25.
ShenHWuZParkJH (2015) Reliable mixed passive and filtering for semi-Markov jump systems with randomly occurring uncertainties and sensor failures. International Journal of Robust and Nonlinear Control25(17): 3231–3251.
26.
ShenMQParkJHFeiSM (2018) Event-triggered nonfragile H∞ filtering of Markov jump systems with imperfect transmissions. Signal Processing149: 204–213.
27.
ShenMQZhangGMYuanYH (2014) H∞ static output feedback controller design for continuous Markov jump systems with incomplete transition probabilities. Transactions of the Institute of Measurement and Control36(6): 743–753.
28.
ShiPLiFWuL, et al. (2017) Neural network-based passive filtering for delayed neutral-type semi-Markovian jump systems. IEEE Transactions on Neural Networks and Learning Systems28(9): 2101–2114.
29.
SunLSuLWangJ (2021) Non-fragile dissipative state estimation for semi-Markov jump inertial neural networks with reaction-diffusion. Applied Mathematics and Computation11: 126404.
WangJRuTShenH, et al. (2021a) Finite-time H∞ synchronization for semi-Markov jump inertial neural networks using sampled data. IEEE Transactions on Network Science and Engineering8(1): 163–173.
32.
WangJRuTXiaJ, et al. (2021b) Asynchronous event-triggered sliding mode control for semi-Markov jump systems within a finite-time interval. IEEE Transactions on Circuits and Systems– I: Regular Papers68(1): 458–468.
33.
WangJZhangYSuL, et al. (2022) Fuzzy-model-based H∞ filtering for discrete-time semi-Markov jump nonlinear systems using semi-Markov kernel. IEEE Transactions on Fuzzy Systems30(1): 248–257.
34.
WangYZhengWXZhangH (2017) Dynamic event-based control of nonlinear stochastic systems. IEEE Transactions on Automatic Control62(12): 6544–6551.
35.
WeiYParkJHKarimiHR, et al. (2018) Improved stability and stabilization results for stochastic synchronization of continuous-time semi-Markovian jump neural networks with time-varying delay. IEEE Transactions on Neural Networks and Learning Systems29(6): 2488–2501.
36.
XiaWXuSLuJ, et al. (2020) Reliable filter design for discrete-time neural networks with Markovian jumping parameters and time-varying delay. Journal of the Franklin Institute357: 2892–2915.
37.
XiaWXuSLuJ, et al. (2021) Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays. Applied Mathematics and Computation391: 125630.
38.
XiaWZhengWXXuS (2019) Realizability condition for digital filters with time delay using generalized overflow arithmetic. IEEE Transactions on Circuits and Systems – II: Express Briefs66(1): 141–145.
39.
XieDSYuanDMLuJW, et al. (2013) Consensus control of second-order leader-follower multi-agent systems with event-triggered strategy. Transactions of the Institute of Measurement and Control35(4): 426–436.
40.
XuSLamJMaoX (2007) Delay-dependent H∞ control and filtering for uncertain Markovian jump systems with time-varying delays. IEEE Transactions on Circuits and Systems – I: Regular Papers54(9): 2070–2077.
41.
ZhangBZhengWXuS (2013) Filtering of Markovian jump delay systems based on a new performance index. IEEE Transactions on Circuits and Systems – I: Regular Papers60(5): 1250–1263.
42.
ZhangHQiuZCaoJ, et al. (2020) Event-triggered synchronization for neutral-type semi-Markovian neural networks with partial mode-dependent time-varying delays. IEEE Transactions on Neural Networks and Learning Systems31(11): 4437–4450.
43.
ZhangLLengYColaneriP (2016) Stability and stabilization of discrete-time semi-Markov jump linear systems via semi-Markov kernel approach. IEEE Transactions on Automatic Control61(2): 503–508.
44.
ZhangXHanQ (2015) Event-based H∞ filtering for sampled-data systems. Automatica51: 55–69.
45.
ZhangYMaYFuL, et al. (2019) Reliable robust control for semi-Markovian jump sampled-data systems based on a dissipativity unified framework. International Journal of Control, Automation and Systems17(8): 2059–2068.
46.
ZhangZZhangHWangZ, et al. (2017) Non-fragile exponential H∞ control for a class of nonlinear networked control systems with short time-varying delay via output feedback controller. IEEE Transactions on Cybernetics47(8): 2008–2019.
