This paper deals with the problem of observer-based mismatched faults for switched singular fuzzy systems subject to disturbances. First, in order to obtain the estimation of unmeasurable or partially measurable states, fuzzy adaptive observer is obtained, eliminating the influence of external disturbances and mismatched faults, simultaneously. Second, by constructing appropriate piecewise Lyapunov functions and average dwell time, the switched singular fuzzy stochastic system with external parameter perturbations and faults is guaranteed to be robustly stable Further, by solving the linear matrix inequalities a sufficient condition to maintain the stability of error dynamic system is presented. Finally, to illustrate the proposed method is available, numerical examples are presented.
AnhPLinhPThuanD, et al. (2020) Stability analysis for switched discretr-time linear singular systems. Automatica119: 109100. DOI: 10.1016/j.automativa.2020.109100.
2.
ChenLZhaoYFuS, et al. (2019) Fault estimation observer design for descriptor switched systems with actuator and sensor failures. IEEE Transactions on Circuits and Systems I: Regular Papers66(2): 810–819.
3.
DaafouzJRiedingerPIungC (2002) Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Transactions on Automatic Control47(11): 1883–1887.
4.
FengYYangXSongQ, et al. (2018) Synchronization of memristive neural networks with mixed delays via quantized intermittent control. Applied Mathematics and Computation339(15): 874–887.
5.
FengYZhangWXiongJ, et al. (2019) Event-triggering interaction scheme for discrete-time decentralized optimization with nonuniform step sizes. IEEE Transactions on Cybernetics99: 1–10. DOI: 10.1109/TCYB.2019.2963330.
6.
HanJZhangHWangY, et al. (2016) Robust state/fault estimation and fault tolerant control for T-S fuzzy systems with sensor and actuator faults. Journal of the Franklin Institute353(2): 615–641.
7.
HuZDengFXingM, et al. (2017) Modeling control of ito stochastic networked control systems with random packet dropouts subject to time-delaying sampling. IEEE Transactions on Automatic Control62(8): 4194–4201.
8.
JiaoTParkJZhangC, et al. (2019) Stability analysis of stochastic switching singular systems with jumps. Journal of the Franklin Institute356(15): 8726–8744.
9.
KhandaniKMajdVTahmasebiM (2017) Robust stabilization of uncertain time-delay systems with fractional stochastic noise using the novel fractional stochastic sliding approach and its application to stream water quality regulation. IEEE Transactions on Automatic Control62(4): 1742–1751.
10.
LiJZhangQYanX, et al. (2018) Robust stabilization of T-S fuzzy stochastic descriptor systems via integral sliding modes. IEEE Transactions on Cybernetics48(9): 2736–2749.
11.
LiuCLamH (2015) Design of a polynomial observer contrller with sampled-output measurements variables. IEEE Transactions on Fuzzy Systems23(5): 2067–2079.
12.
LiuDYangYLiL, et al. (2020) Control performance-based fault-tolerant control strategy for singular systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems50(7): 2398–2407.
13.
LiuLYinSZhangL, et al. (2017) Improved results on asymptotic stabilization for stochastic nonlinear time-delay systems with application to a chemical reactor system. IEEE Transactions on Systems, Man, and Cybernetics: Systems47(1): 195–204.
14.
LiuMCaoXShiP (2013) Fuzzy-model-based fault-tolerant design for nonlinear stochastic systems against simultaneous sensor and actuator faults. IEEE Transactions on Fuzzy Systems21(5): 789–799.
15.
LiuMShiPZhangL, et al. (2011) Fault-tolerant control for nonlinear Markovian jump systems via proportional and derivative sliding mode observer technique. IEEE Transactions on Circuits and Systems I: Regular Papers58(11): 2755–2764.
16.
LiuYTongSLiD, et al. (2016) Fuzzy adaptive control with state observer for a class of nonlinear discrete-time systems with input constraint. IEEE Transactions on Fuzzy Systems24(5): 1147–1158.
17.
MaSBoukasE-K (2009) A singular system approach to robust sliding mode control for uncertain Markov jump systems. Automatica45(11): 2707–2713.
18.
SaiHXuZHeS, et al. (2021) Adaptive nonsingular fixed-time sliding mode control for uncertain robotic manipulators under actuator saturation. ISA Transactions■■■: ■■■. DOI: 10.1016/j.isatra.2021.05.011.
19.
SaifiaDChadliMLabiodS, et al. (2012) Robust H ∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation. International Journal of Control, Automation and Systems10(3): 613–622.
20.
SuXWenYShiP, et al. (2021) Event-triggered fuzzy control for nonlinear systems via sliding mode approach. IEEE Transactions on Fuzzy Systems29(2): 336–344.
21.
SunYMaS (2020) Output regulation of switched singular systems based on extended state observer approach. Applied Mathematics and Computation399: 126020. DOI: 10.1016/j.amc.2021.126020.
22.
TongSSuiSLiY (2015) Observed-based adaptive fuzzy tracking control for switched nonlinear system with dead-zone. IEEE Transactions on Cybernetics45(12): 2816–2826.
23.
WangLLamH-K (2019) Further study on observer design for continuous-time Takagi-Sugeno fuzzy model with unknown premise variables via average dwell time. IEEE Transactions on Cybernetics50: 4855–4860. DOI: 10.1109/TCYB.2019.2933696.
24.
WangXParkJHSheK, et al. (2019) Stabilization of chaotic systems with T-S fuzzy model and nonuniform sampling: a switched fuzzy control approach. IEEE Transactions on Fuzzy Systems27(6): 1263–1271.
25.
WeiQLiHYangX, et al. (2020) Continuous-time distributed policy iteration for multicontroller nonlinear systems. IEEE Transactions on Cybernetics51: 2372–2383. DOI: 10.1109/TCYB.2020.2979614.
26.
YanJYangGLiX (2020) Adaptive observer-based fault-tolerant tracking control for T-S fuzzy systems with mismatched faults. IEEE Transactions on Fuzzy Systems28(1): 134–147.
27.
YangHJiangBTaoG, et al. (2012) Robust stability of switched nonlinear systems with switching uncertainties. Automatica48(9): 2359–2364.
28.
YaoDLuRXuY, et al. (2017) Adaptive sliding mode control of switched systems with different input matrix. International Journal of Control, Automation and Systems15(6): 2500–2506.
29.
ZhangHHanJLuoC, et al. (2017) Fault-tolerant control of a nonlinear system based on generalized fuzzy hyperbolic model and adaptive disturbance observer. IEEE Transactions on Systems, Man, and Cybernetics: Systems47(8): 2289–2300.
30.
ZhangHLiuDWangZ (2009) Controlling Chaos: Suppression, Synchronization and Chaotification. London: Springer-Verlag.
31.
ZhangQQiaoLZhuB, et al. (2017) Dissipativity analysis and synthesis for a class of T-S fuzzy descriptor systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems47(8): 1774–1784.
32.
ZhuJYangGWangH, et al. (2016) Fault estimation for a class of nonlinear systems based on intermediate estimator. IEEE Transactions on Automatic Control61(9): 2518–2524.
