Robust Dynamic Event-triggered Control for Linear Uncertain System

Tripathy, Niladri Sekhar; Kar, Indra Narayan; Paul, Kolin

doi:10.1016/j.ifacol.2016.03.054

Cited by 13 publications

(10 citation statements)

References 23 publications

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“…Different from the method in Reference 24, the dynamic ETC designed in this article eliminates the influence of B and K on

τ_{d}

and avoids the complicated discussion of

τ_{d}

in different cases. Moreover, the relationship between

τ_{d}

and

γ

can be analyzed.…”

Section: Resultsmentioning

confidence: 99%

“…In order to further increase IETs, inspired by Girard, 24 a dynamic ETC algorithm is designed in this subsection. First, we denote an internal dynamic variable

ζ false(t false) = ζ

satisfying the following differential equation

\dot{ζ} = - \frac{γ}{2} ζ + \frac{γ}{2} x^{T} P x - n γ e^{T} P e, ζ false(0 false) = ζ_{0},

where

ζ_{0} \geq 0

is a design parameter.…”

Section: Resultsmentioning

confidence: 99%

“…In order to further expand interexecution times (IETs) of the general ETC which is usually called static ETC, a dynamic event‐triggered mechanism (ETM) strategy was proposed in Reference 23, where the relationship between the minimum interexecution time (MIET) and the system matrix is quiet complicated. Based on the input‐to‐state stability theory, the dynamic ETM was applied to the control of linear uncertain systems in References 24 and 25. However, the exact relationship between the parameters and MIET was not discussed in References 24 and 25.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the input‐to‐state stability theory, the dynamic ETM was applied to the control of linear uncertain systems in References 24 and 25. However, the exact relationship between the parameters and MIET was not discussed in References 24 and 25. Other results about the dynamic ETC and STC can be found in References 26, 27, 28, 29.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Parametric Lyapunov equation based event‐triggered and self‐triggered control of input constrained linear systems

Zhang

Zhou

Jiang

2020

Intl J Robust & Nonlinear

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This article studies semiglobal stabilization of input constrained linear systems based on the static and dynamic event-triggered control (ETC) and self-triggered control (STC). First, a static ETC based on the parametric Lyapunov equation (PLE) is designed. Then the corresponding dynamic ETC is also proposed. The main advantage of the proposed static and dynamic ETC algorithms is that the minimum interexecution time (MIET) as a decreasing function of the parameter in the PLE is given, which allows us to find easily a trade-off between the interexecution times (IETs) and the control performance. The fact that the MIET of the dynamic ETC is never less than that of the static ETC is also guaranteed. Next, in order to avoid continuous monitoring of the states, both static and dynamic STC are designed. The influence of the parameters on IETs of the static and dynamic STC is analyzed in detail. The nonoccurrence of the Zeno phenomenon is proved in all the control algorithms. Finally, the proposed algorithms are applied to the design of spacecraft rendezvous. Numerical simulations on the original nonlinear model of the spacecraft rendezvous control system show the control system effectiveness of the algorithms.

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“…Different from the method in Reference 24, the dynamic ETC designed in this article eliminates the influence of B and K on

τ_{d}

and avoids the complicated discussion of

τ_{d}

in different cases. Moreover, the relationship between

τ_{d}

and

γ

can be analyzed.…”

Section: Resultsmentioning

confidence: 99%

“…In order to further increase IETs, inspired by Girard, 24 a dynamic ETC algorithm is designed in this subsection. First, we denote an internal dynamic variable

ζ false(t false) = ζ

satisfying the following differential equation

\dot{ζ} = - \frac{γ}{2} ζ + \frac{γ}{2} x^{T} P x - n γ e^{T} P e, ζ false(0 false) = ζ_{0},

where

ζ_{0} \geq 0

is a design parameter.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Parametric Lyapunov equation based event‐triggered and self‐triggered control of input constrained linear systems

Zhang

Zhou

Jiang

2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…In addition, the method of Girard (2015) has been applied to linear time invariant (LTI) systems wherein the reduction of sampling numbers has been shown through some numerical examples. After that, Tripathy et al (2016) has suggested this type of AETC for matched uncertain LTI systems, while the controller has been designed based on a minimization problem. The idea derived from Girard (2015) has been also extended to discrete-time systems by Hu et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Zeno-free adaptive event-triggered control design

Adloo

Shafiei

2018

Transactions of the Institute of Measurement and Control

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This paper presents a new general framework for adaptive event-triggered control strategy to extend average inter-event interval, while maintaining the performance of the system. The proposed event-triggering mechanism is acquired from input to state stability conditions, which is defined in terms of system states as well as an adaptation parameter. Under the Lipschitz assumption, a positive lower bound on sampling durations is also established that is essential to restrain the Zeno behavior. Applying the proposed method to linear time-invariant systems, leads to sufficient conditions to guarantee asymptotic stability in the form of matrix inequalities. Moreover, it is shown that there exist more degrees of freedom to improve the performance criterion from theoretical aspects. Finally, in order to show capability of the proposed method and its better performance compared with some recent works, numerical simulations are presented.

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A novel saturation‐related event‐triggered scheme for systems with asymmetric input constraint

Zhang

Zuo

et al. 2022

Intl J Robust & Nonlinear

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This paper investigates the problem of event-triggered control for systems with asymmetric input constraint by establishing a novel saturation-related triggering condition, which could reduce the number of events. By designing a subregion-based control law, a sufficient condition is deduced to ensure the asymptotic stability of the underlying system with the proposed triggering rule.Moreover, an optimal algorithm is formulated to estimate the domain of attraction of the closed-loop system. Finally, a numerical example is provided to demonstrate the effectiveness of the derived approaches.

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Robust Dynamic Event-triggered Control for Linear Uncertain System

Cited by 13 publications

References 23 publications

Parametric Lyapunov equation based event‐triggered and self‐triggered control of input constrained linear systems

Parametric Lyapunov equation based event‐triggered and self‐triggered control of input constrained linear systems

Zeno-free adaptive event-triggered control design

A novel saturation‐related event‐triggered scheme for systems with asymmetric input constraint

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