State‐dependent intermittent control of non‐linear systems

Wang, Qingzhi; He, Yong; Tan, Guozhen; Wu, Min

doi:10.1049/iet-cta.2016.1385

Cited by 17 publications

(2 citation statements)

References 34 publications

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“…where 𝛾 = e Λ max{𝜆 max (G 1 ), 𝜆 max (G 2 )}. Integrating both sides of (25) from 𝜏 i to 𝜏 − i+1 and using (17) we have…”

Section: Intermittent Controlmentioning

confidence: 99%

“…13 Actually, many phenomena in networked control systems or cyber-physical systems can be seen as an intermittent control, such as malicious attacks and denial-of-service (DoS) attacks. 14,15 In existing works, the intermittent control is mainly classed into the event/state-driven intermittent control (the controller is activated when a pre-given event occurs) 16,17 and time-driven intermittent control (the controller is activated at pre-specified time intervals). [18][19][20][21] As for the time-driven intermittent control, according to the pre-specified time intervals, it can be classified into periodically intermittent control 13,22 and aperiodically intermittent control (AIC).…”

Section: Introductionmentioning

confidence: 99%

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Exponential input‐to‐state stabilization of semilinear systems via intermittent control

Guo

Wang

Duan

et al. 2022

Intl J Robust & Nonlinear

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This paper is concerned with the exponential input‐to‐state stabilization of semilinear systems via aperiodically intermittent control and aperiodically intermittent sampled‐data control, respectively. The aperiodically intermittent control is characterized from the average sense. By designing an auxiliary timer to make a compromise between control activation intervals and control rest intervals and employing the piecewise Lyapunov function method, novel sufficient criteria are obtained to guarantee the exponential input‐to‐state stability of considered systems. As for the aperiodically intermittent sampled‐data control, the sampling instants can also be aperiodic. Especially, if the sampling instants are periodic, we employ a mixed piecewise Lyapunov functional method to obtain a relatively less conservative condition to guarantee the exponential input‐to‐state stability. Finally, a numerical example is presented to illustrate the effectiveness of the theoretical results.

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“…where 𝛾 = e Λ max{𝜆 max (G 1 ), 𝜆 max (G 2 )}. Integrating both sides of (25) from 𝜏 i to 𝜏 − i+1 and using (17) we have…”

Section: Intermittent Controlmentioning

confidence: 99%