Event-Triggered Composite Control of a Two Time Scale System

Bhandari, Manisha; Fulwani, Deepak; Gupta, Rajeev

doi:10.1109/tcsii.2017.2723161

Cited by 38 publications

(43 citation statements)

References 15 publications

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“…Considering the proposed ETM involving a coupling threshold, sufficient conditions that make sure that system is asymptotically stable without Zeno phenomenon are derived. Compared with the ETM proposed by Bhandari et al, our method performs well in terms of number of triggering and control performance.…”

Section: Resultsmentioning

confidence: 77%

“…It is obvious from Figures to , the control performance is improved and the triggering times are reduced efficiently. In addition, the details of the comparison results for different strategies are presented in Table , which shows that ETM can efficiently reduce the number of transmissions than that in the work of Bhandari et al…”

Section: Numerical Examplementioning

confidence: 98%

“…Example Without considering saturating input, the method of event‐triggered controller design proposed in Corollary is compared with that in the work of Bhandari et al We consider the following SPS:

[\begin{array}{cccc} 1 & 0 & 0 & 0 \\ * & 1 & 0 & 0 \\ * & * & ε & 0 \\ * & * & * & ε \end{array}] \dot{x} (t) = [\begin{array}{cccc} 0 & 0.4 & 0 & 0 \\ 0 & 0 & 0.345 & 0 \\ 0 & - 0.524 & - 0.465 & 0.262 \\ 0 & 0 & 0 & - 1 \end{array}] x (t) + [\begin{array}{c} 0 \\ 0 \\ 0 \\ 1 \end{array}] u (t) .

Given h m = 2, λ 1 = 1.5, λ 2 = 1.5, ε 0 = 0.1, the event‐triggered controller is designed as

K = [\begin{array}{cccc} - 0 .8294 & - 0.5661 & - 0 .0859 & - 0 .0234 \end{array}]

…”

Section: Numerical Examplementioning

confidence: 99%

“…[20][21][22] Recently, ETC issues for SPSs have been studied by several groups. [23][24][25] Assuming that fast mode is stable, an event-triggered controller, which ensures that slow subsystem is stable, was proposed. 24 Furthermore, complex computations are needed to illustrate the overall systems avoiding Zeno phenomenon.…”

Section: Introductionmentioning

confidence: 99%

“…24 Furthermore, complex computations are needed to illustrate the overall systems avoiding Zeno phenomenon. 23,24 It is worth noting that the presented problems of ETC for SPSs are studied under the assumption that SPP is sufficiently small and the overall states of SPSs are available. Therefore, the problems of estimating an -bound and designing an OBC for SPSs subject to saturating actuator need to be deeply studied.…”

Section: Introductionmentioning

confidence: 99%

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Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator

Yan

Yang

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper investigates an observer‐based event‐triggered control problem of singularly perturbed systems with saturating actuator. A strategy that consists of an observer‐based controller (OBC) and an event‐triggered mechanism (ETM) is considered. Firstly, sufficient conditions, which guarantee that the saturated SPSs are asymptotically stable excluding Zeno phenomenon, are derived via constructing an ε‐dependent Lyapunov‐Krasovskii functional. Then, the OBC and ETM are designed simultaneously based on the aforementioned criteria. Furthermore, an estimate of the basin of attraction and an ε‐bound are given by solving an optimization problem in the form of LMIs. Finally, an electric circuit system and a numerical example are presented to demonstrate the merits of the obtained method.

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Section: Resultsmentioning

confidence: 77%

Section: Numerical Examplementioning

confidence: 98%

[\begin{array}{cccc} 1 & 0 & 0 & 0 \\ * & 1 & 0 & 0 \\ * & * & ε & 0 \\ * & * & * & ε \end{array}] \dot{x} (t) = [\begin{array}{cccc} 0 & 0.4 & 0 & 0 \\ 0 & 0 & 0.345 & 0 \\ 0 & - 0.524 & - 0.465 & 0.262 \\ 0 & 0 & 0 & - 1 \end{array}] x (t) + [\begin{array}{c} 0 \\ 0 \\ 0 \\ 1 \end{array}] u (t) .

Given h m = 2, λ 1 = 1.5, λ 2 = 1.5, ε 0 = 0.1, the event‐triggered controller is designed as

K = [\begin{array}{cccc} - 0 .8294 & - 0.5661 & - 0 .0859 & - 0 .0234 \end{array}]

…”

Section: Numerical Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator

Yan

Yang

et al. 2019

Intl J Robust & Nonlinear

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Networked‐based H_∞ control for discrete‐time slow sampling singularly perturbed systems via an improved event‐triggered approach

Cai

2022

Asian Journal of Control

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This paper investigates the H∞ control problem for a class of slow sampling singularly perturbed systems (S3PSs) with an improved event‐triggered method (ETM). Compared with the conventional static ETM, an improved one with time‐varying threshold is exploited to enhance the dynamic performance for the S3PSs with certain communication frequency reduction. By adjusting the threshold with the triggering error, a faster converge speed can be achieved. Sufficient conditions are derived by constructing a singular perturbation parameter (SPP) dependent Lyapunov function, with which both asymptotic stability can be guaranteed for the closed‐loop S3PSs and the ill‐conditioned numerical issues can be avoided. By resorting to the matrix inequality techniques, an ETM‐based controller can be developed within the upper bound of the SPP. Further demonstration for the feasibility of the proposed algorithm is presented by designing an ETM‐based controller for an inverted pendulum system.

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Input‐based event‐triggered control of a discrete‐time singularly perturbed system under a resource constrained environment

Sahu

Bhandari

Fulwani

2023

Asian Journal of Control

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This paper proposes an input‐based event‐triggered mechanism for a network‐controlled discrete‐time singularly perturbed system, where the latest measurements are transmitted when a predefined condition is satisfied on the input. The significant contribution of the proposed work is the separation of control updates for slow and fast dynamics such that the proposed event‐triggered mechanism updates and broadcasts the current measurements of slow and fast dynamics in their respective time scales and reduces the usage of network resources. Further, the proposed input‐based event‐triggered mechanism avoids redundant updates of the control input and reduces actuation and resource utilization in some instances. Furthermore, the ultimate boundedness of the system states is established. The simulation uses a quarter‐car suspension system to demonstrate the proposed theory.

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Event-Triggered Composite Control of a Two Time Scale System

Cited by 38 publications

References 15 publications

Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator

Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator

Networked‐based H_∞ control for discrete‐time slow sampling singularly perturbed systems via an improved event‐triggered approach

Input‐based event‐triggered control of a discrete‐time singularly perturbed system under a resource constrained environment

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Event-Triggered Composite Control of a Two Time Scale System

Cited by 38 publications

References 15 publications

Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator

Observer‐based event‐triggered control for singularly perturbed systems with saturating actuator

Networked‐based H∞ control for discrete‐time slow sampling singularly perturbed systems via an improved event‐triggered approach

Input‐based event‐triggered control of a discrete‐time singularly perturbed system under a resource constrained environment

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Networked‐based H_∞ control for discrete‐time slow sampling singularly perturbed systems via an improved event‐triggered approach