Finite-time H ∞ control of uncertain networked control systems with randomly varying communication delays

Elahi, Arezou; Alfi, Alireza

doi:10.1016/j.isatra.2017.04.004

Cited by 42 publications

(21 citation statements)

References 44 publications

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“…To overcome these difficulties, tremendous efforts have been made by the scientists and engineers in the field, and various control theories and techniques have been applied to NCSs, e.g. robust control theory [7][8][9], approaches based on Markov jump systems [10][11][12], predictive control [13][14][15], and joint design schemes between communication and control [16][17][18], to name a few.…”

Section: Introductionmentioning

confidence: 99%

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Zhao

Tao

Kang

et al. 2019

IET Control Theory & Applications

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The stochastic stabilisation of networked control systems is investigated with a special focus on the lossy multi-packet transmission in the wireless communication context. The resulting partially available system states due to multi-packet transmission are firstly reconstructed at the controller, and the sufficient conditions for stochastic stability are then given for the closed-loop system, which finally leads to a controller design method with explicit consideration of multi-packet transmission. The proposed theoretical results are verified by both numerical and TrueTime-based examples.

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Section: Introductionmentioning

confidence: 99%

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Zhao

Tao

Kang

et al. 2019

IET Control Theory & Applications

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“…In [21][22][23][24][25], the authors studied the finite time ∞ problem of discrete time system based on linear matrix inequality. In [26][27][28][29], the authors extended the FTB and finite time ∞ control problem to the NCSs. Further, in [30], finite time ∞ control problem is extened to fuzzy discrete system.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Boundedness Control for Nonlinear Networked Systems with Randomly Occurring Multi-Distributed Delays and Missing Measurements

Hou

Chen

2018

Mathematical Problems in Engineering

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This paper investigates the stochastic finite-time ∞ boundedness problem for nonlinear discrete time networked systems with randomly occurring multi-distributed delays and missing measurements. The randomly occurring multi-distributed delays and missing measurements are described as Bernoulli distributed white noise sequence. The goal of this paper is to design a full-order output-feedback controller to guarantee that the corresponding closed-loop system is stochastic finite-time ∞ bounded and with desired ∞ performance. By constructing a new Lyapunov-Krasovskii functional, sufficient conditions for the existence of outputfeedback are established. The desired full-order output-feedback controller is designed in terms of the solution to linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the validity of the designed method.

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“…Lemma 5 (see [9]). For any two matrices and with appropriate dimensions, + ≤ + −1 holds for any scalar > 0.…”

Section: Definitionmentioning

confidence: 99%

“…In many practical problems, it is important to focus on the stability and filtering issue of a system over a prescribed time interval, in which the state trajectories remain within a predetermined bound over a given finite-time interval under some given initial conditions [9,10]. Therefore, much attention has been given to the problem of finite-time filtering for dynamical systems with the use of Lyapunov technique and LMI approach [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures

Sakthivel

Nithya

et al. 2018

Complexity

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In this study, the problem of finite-time nonfragile dissipative-based filter design for wireless sensor networks that is described by discrete-time systems with time-varying delay is investigated. Specifically, to reduce the energy consumption of wireless sensor networks, it is assumed that the signal is not transmitted at each instant and the transmission process is stochastic. By constructing a suitable Lyapunov-Krasovskii functional and employing discrete-time Jensen’s inequality, a new set of sufficient conditions is established in terms of linear matrix inequalities such that the augmented filtering system is stochastically finite-time bounded with a prescribed dissipative performance level. Meanwhile, the desired dissipative-based filter gain matrices can be determined by solving an optimization problem. Finally, two numerical examples are provided to illustrate the effectiveness and the less conservatism of the proposed filter design technique.

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Finite-time H ∞ control of uncertain networked control systems with randomly varying communication delays

Cited by 42 publications

References 44 publications

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Finite-Time Boundedness Control for Nonlinear Networked Systems with Randomly Occurring Multi-Distributed Delays and Missing Measurements

Finite‐Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures

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