Reduced-order filter design of T–S fuzzy stochastic systems with time-varying delay

Su, Xiaojie; Xia, Fengqin; Rui, Yang; Wang, Lei

doi:10.1016/j.jfranklin.2016.12.028

Cited by 21 publications

(8 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Takagi-Sugeno (T-S) fuzzy system theory plays a very important role in nonlinear systems and it has been widely applied in various fields. With the deepening of research, more and more people are devoting themselves to the study of T-S fuzzy systems with practical problems (Zeng et al 2014;Ma et al 2016;Zhang et al 2015;Su et al 2016). The optimal control for stochastic linear singular periodic neuro T-S fuzzy system with singular cost is obtained using ant colony programming (Kumaresan 2011).…”

Section: Introductionmentioning

confidence: 99%

Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

Han

2020

Comp. Appl. Math.

View full text Add to dashboard Cite

This paper studies the passivity of the T-S fuzzy singular system with randomly occurring uncertainties via the event-based sliding mode control. The sliding surface function is designed such that the resulting sliding mode dynamics can be expressed by the considered system. Some sufficient conditions are proposed to guarantee the sliding mode dynamics is generalized admissible and robustly passive. Under the aperiodic sampled-data environment, the sliding mode control law is proposed via the event-triggered method. It guarantees that the state trajectory of the system can be driven onto the predefined sliding surface in a finite time and keep it forever. Finally, three examples are given to demonstrate the feasibility and superiority of the design method. Keywords T-S fuzzy singular system • Time-varying delay • Randomly occurring uncertainties • Event-based sliding mode control • Aperiodic sampled-data

show abstract

Section: Introductionmentioning

confidence: 99%

Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

Han

2020

Comp. Appl. Math.

View full text Add to dashboard Cite

show abstract

“…On the one hand, the existence of time delay brings us inconvenience to accurately analyze the system, which is not conducive to precise control of the system; on the other hand, it also affects the dynamic performance of the system and makes the performance of the system worse. Therefore, in order to better control the system, it is necessary to study the system with time delay . In this paper, we consider the T‐S fuzzy system with state time‐varying delay.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, in order to better control the system, it is necessary to study the system with time delay. [7][8][9] In this paper, we consider the T-S fuzzy system with state time-varying delay.…”

Section: Introductionmentioning

confidence: 99%

Robust fault estimation for Takagi‐Sugeno fuzzy systems with state time‐varying delay

You

Cheng

Zhang

et al. 2019

Adaptive Control & Signal

View full text Add to dashboard Cite

Summary This paper deals with the problem of H∞ robust fault estimation for a class of Takagi‐Sugeno (T‐S) fuzzy systems with state time‐varying delay, sensor, and actuator faults. The faults considered in this paper are time‐varying signals whose k‐order derivatives with respect to time are bounded. Then, we propose a proportional multiple integral observer to achieve simultaneous estimation of system states and time‐varying actuator and sensor faults. Furthermore, one less conservative delay‐dependent sufficient condition for the existence of fault estimation observer is given in terms of linear matrix inequality. The disturbance attenuation is constrained to a given level using H∞ performance index. Finally, simulation results of one numerical example is presented to show the effectiveness of the proposed method.

show abstract

“…In recent, researchers provided several inspired and innovative solutions for different systems, e.g. Su et al transformed the reduced‐order

H_{\infty}

‐filter design problem for discrete‐time T–S fuzzy delayed systems with stochastic perturbation into a convex optimisation problem in [22]. Shen et al , by using the bounded real lemma and introducing free real matrix variables, designed a reduced‐order

H_{\infty}

‐filter for commensurate fractional‐order systems in [23].…”

Section: Introductionmentioning

confidence: 99%

Positive L ₁ ‐filter design for continuous‐time positive Markov jump linear systems: full‐order and reduced‐order

Chen

2019

IET Control Theory & Applications

View full text Add to dashboard Cite

Reduced-order filter design of T–S fuzzy stochastic systems with time-varying delay

Cited by 21 publications

References 40 publications

Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

Robust fault estimation for Takagi‐Sugeno fuzzy systems with state time‐varying delay

Positive L ₁ ‐filter design for continuous‐time positive Markov jump linear systems: full‐order and reduced‐order

Contact Info

Product

Resources

About

Reduced-order filter design of T–S fuzzy stochastic systems with time-varying delay

Cited by 21 publications

References 40 publications

Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

Robust fault estimation for Takagi‐Sugeno fuzzy systems with state time‐varying delay

Positive L 1 ‐filter design for continuous‐time positive Markov jump linear systems: full‐order and reduced‐order

Contact Info

Product

Resources

About

Positive L ₁ ‐filter design for continuous‐time positive Markov jump linear systems: full‐order and reduced‐order