A novel tracking control approach of amplitude signals for vibratory gyroscopes suppressing high-frequency disturbance

Xu, Zeyuan; Wang, Danwei; Yi, Guoxing; Hu, Zhijian

doi:10.1016/j.measurement.2022.110981

Cited by 6 publications

(1 citation statement)

References 38 publications

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“…Many fruitful results on stability analysis, control synthesis, and filtering synthesis of fuzzy systems have been reported [5][6][7][8][9][10]. By considering nonlinear terms and uncertain parameters, the interval type-2 (IT2) technique has been introduced into T-S fuzzy systems to improve their approximation capabilities [11]. By considering uncertain information and upper and lower membership functions (ULMFs), a stable IT2 fuzzy controller has been designed to carry out a control process.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy‐model‐based robust control of Markov jump nonlinear systems with incomplete transition probabilities and uncertain packet dropouts

Shi

et al. 2023

Asian Journal of Control

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Interval type‐2 fuzzy Markov jump systems (IT2FMJSs) have received much attention because they can well describe complex nonlinear systems with uncertainties and stochastic system mode switching. However, the transition probabilities of fuzzy MJSs (FMJSs) have been assumed to be completely known, limiting real‐world applications of existing results. Different from the previous studies, transition probabilities between system modes switching are partially unknown, and packet dropouts of data transmission are uncertain in this study. Compared with the previous studies, the main advantages of this work are as follows: (1) To analyze stochastic stability and reduce conservatism of existing approaches, a novel Lyapunov function that depends on both system mode and fuzzy basis function is constructed; (2) the existence of a mode‐dependent and fuzzy‐basis‐dependent state feedback controller is revealed; (3) stochastic stability of closed‐loop system with a desired performance is established, and the problem of incomplete transition probabilities and uncertain packet dropouts has been completely addressed. An illustrative example of a robot arm is used to demonstrate the effectiveness and practicality of the proposed control strategy. By virtue of the proposed strategy, the effects of incomplete transition probabilities and uncertain packet dropouts on IT2FMJSs have been completely alleviated.

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