2020
DOI: 10.1016/j.automatica.2020.109026
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Asynchronous sliding mode control of singularly perturbed semi-Markovian jump systems: Application to an operational amplifier circuit

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Cited by 89 publications
(38 citation statements)
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“…It should be pointed out that in most of the above research works, there exists a common ideal assumption for ensuring the practicability of the proposed mode-dependent filtering or controling strategies, that is, the system mode signal should be available for the estimator or controller. Unfortunately, as a similar statement in Hua et al, 16 Han et al, 17 and Song et al, 18 in industrial applications, much state-dependent information cannot be accessed in time, such kind of ideal assumption is rather difficultly satisfied in practice. To shorten this gap, a mode-independent controller or filter design has been widely adopted for Markov jump systems.…”
Section: Introductionmentioning
confidence: 90%
See 1 more Smart Citation
“…It should be pointed out that in most of the above research works, there exists a common ideal assumption for ensuring the practicability of the proposed mode-dependent filtering or controling strategies, that is, the system mode signal should be available for the estimator or controller. Unfortunately, as a similar statement in Hua et al, 16 Han et al, 17 and Song et al, 18 in industrial applications, much state-dependent information cannot be accessed in time, such kind of ideal assumption is rather difficultly satisfied in practice. To shorten this gap, a mode-independent controller or filter design has been widely adopted for Markov jump systems.…”
Section: Introductionmentioning
confidence: 90%
“…(see the work of Yang et al 35 ). The augmented filtering error dynamics (equation (18)) is said to be exponentially mean-square stable with the H ' performance if the following hold simultaneously 1. For allx(0) and w(k) = 0, there are scalars l ø 1 and 0 \ t \ 1 such that…”
Section: Problem Descriptionmentioning
confidence: 99%
“…The voltage or current signals outputted through conversion circuits at the initial stage response weakly, therefore, the signals need to be amplified for promoting the subsequent circuits afterward. [36] A variety of functional amplifiers has been integrated in the amplification circuits, because the strength and impedance of the output signals are determined by specific operating environments that are provided with different requirements for the accuracy and stability of the entire system of strain sensors. [37] From Figure 2c, gain adjustment can be altered through change R v .…”
Section: Transmission Mechanisms Of Signalsmentioning
confidence: 99%
“…As a matter of fact, many practical systems, for example, power systems and elector‐mechanical systems, usually operate on different time scales due to the presence of small “parasitic” parameters 5,6 . Consequently, the interaction of slow and fast dynamics occurs and thereby leading to the high dimensionality and numerical stiffness, 7 which cannot be solved by using normal switched methods, in the process of system analysis and controller design. In order to deal with such difficulties, singularly perturbed theory is introduced, and some important advances have been made using the descriptor systems approach, such as References 8,9.…”
Section: Introductionmentioning
confidence: 99%