Delayed observer-based H ∞ control for networked control systems

The subject of this article is to propose novel resilient control strategies for switched systems in conditions of input delay and cyber-attacks. At first it is assumed that the attacker can access the sensor of the system and consequently injects unknown false data to the sensor. Next, it is assumed that attacker can access the control block channel and consequently injects unknown nonlinear false data to the controller and also simultaneously can access the actuator, resulting in the loss of effectiveness of the actuator. In such conditions, novel resilient control strategies are proposed to keep the performance of the attacked system up to a reasonable security bound. To achieve resilience in such conditions, Lyapunov–Krasovskii functional method is applied to show the uniformly ultimately bounded behavior of the system. Finally, for an evaluating approach, two illustrative examples will be solved.

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“…Lemma 3: (Liu et al, 2016) For given matrices C , E and equation HCE = E , a solution for H exists, if ran k ( C E ) = ran k ( E ) .…”

Section: Preliminariesmentioning

confidence: 99%

Resilient control of switched systems in conditions of input delay and cyber attacks

Fattahi

Afshar

2019

Transactions of the Institute of Measurement and Control

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“…If

N_{σ} false(t_{0}, t false) \leq N_{0} + \frac{t - t_{0}}{τ_{a}}

holds for

τ_{a} > 0

and an integer

N_{0} \geq 0

, then

τ_{a}

is called an ADT and

N_{0}

is called a chattering bound. As commonly used in the literature, we choose

N_{0} = 0

. Lemma 1 [31] For a given

B \in ℜ^{n \times m}

with

r a n k false(B false) = m

, assume that

X \in ℜ^{n \times n}

is a symmetric matrix, then, there exists a matrix

\overset{false^}{X} \in ℜ^{m \times m}

such that

X B = B \overset{false^}{X}

, if and only if

X = U (][, \begin{matrix} 1em4pt \\ X_{11} & 0 \\ 0 & X_{22} \end{matrix}) U^{normalT}

where

X_{11} \in ℜ^{m \times m}

and

X_{22} = ℜ^{false(n - m false) \times false(n - m false)}

. Lemma 2 [32] Let X , Y and H be real matrices of appropriate dimension with

H^{normalT} H \leq I

. Then,

X H Y + Y^{normalT} H^{normalT} X^{normalT} \leq ε X X^{normalT} +

…”

Section: The Problem Statement and Preliminariesmentioning

confidence: 99%

Robust simultaneous finite‐time control and fault detection for uncertain linear switched systems with time‐varying delay

Shokouhi-Nejad

Ghiasi

Badamchizadeh

2017

IET Control Theory & Applications

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“…Sun et al 26 achieved robust H ∞ control by Wirtinger inequality in uncertain linear systems against interval time‐varying delays. Liu et al 27 researched observer‐based H ∞ control in networked control systems. For the discrete‐time T–S fuzzy systems against state delay and uncertainties, the robust reliable H ∞ control is commonly encountered in practice however has not been studied thoroughly.…”

Section: Introductionmentioning

confidence: 99%

Robust reliableH_∞optimization control for uncertain discrete‐time Takagi–Sugeno fuzzy systems with time‐varying delay

Sun

Zhang

et al. 2021

Optim Control Appl Methods

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In this article, the problems of robust reliable H∞ optimization control for discrete‐time nonlinear systems with or without time‐delay subject to faults are investigated. A static state feedback controller is explored for Takagi–Sugeno fuzzy systems against nonlinear dynamics, exogenous disturbances, and model uncertainties. In contrast to the design of conventional controllers, the proposed controller is easier and more flexible. The Lyapunov function is utilized to assure the stability of the closed‐loop systems. Besides, linear matrix inequalities are utilized to derive the sufficient conditions by MATLAB toolbox. Finally, two simulation examples are shown to validate the feasibility of the suggested approach.

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Delayed observer-based H ∞ control for networked control systems

Cited by 18 publications

References 31 publications

Resilient control of switched systems in conditions of input delay and cyber attacks

Resilient control of switched systems in conditions of input delay and cyber attacks

Robust simultaneous finite‐time control and fault detection for uncertain linear switched systems with time‐varying delay

Robust reliableH_∞optimization control for uncertain discrete‐time Takagi–Sugeno fuzzy systems with time‐varying delay

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Delayed observer-based H ∞ control for networked control systems

Cited by 18 publications

References 31 publications

Resilient control of switched systems in conditions of input delay and cyber attacks

Resilient control of switched systems in conditions of input delay and cyber attacks

Robust simultaneous finite‐time control and fault detection for uncertain linear switched systems with time‐varying delay

Robust reliableH∞optimization control for uncertain discrete‐time Takagi–Sugeno fuzzy systems with time‐varying delay

Contact Info

Product

Resources

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Robust reliableH_∞optimization control for uncertain discrete‐time Takagi–Sugeno fuzzy systems with time‐varying delay