A diffusive representation approach toward <i>H<sub>∞</sub></i> sliding mode control design for fractional-order Markovian jump systems

Parvizian, Majid; Khandani, Khosro

doi:10.1177/0959651820975251

Cited by 4 publications

(6 citation statements)

References 35 publications

(32 reference statements)

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“…In traditional power systems, periodic time control schemes are often used. In the time control scheme, there is a Zero Order Hold (ZOH) [ 17 ] that enables the system to balance closed-loop performance and communication load to ensure the control performance of the controller. However, this method does not take into account the update of the input signal, making the data appear cumbersome and resulting in lower network transmission performance [ 18 ].…”

Section: Secure Lfc Model Construction For Interconnected Power Syste...mentioning

confidence: 99%

Security load frequency control model of interconnected power system based on deception attack

Sun,

Tang,

2024

PLoS ONE

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The interconnected power system connects the power grids of different regions through transmission lines, achieving power interconnection and resource sharing. However, data is transmitted through open power networks and is more susceptible to network attacks. To improve the stability of interconnected power systems under deception attacks, three scenarios of system security load frequency control were studied. Based on the construction of a dynamic model of load frequency control, an event-triggered strategy was used to reduce the communication frequency between nodes, resulting in a reduction in the amount of network transmission data. A sliding mode controller was constructed to solve the problem of event-triggered sliding mode security load frequency control. Elastic event-triggered sliding mode load frequency control for interconnected power systems under mixed attacks. The simulation results showed that using the load frequency control model triggered by events, the load frequency deviation of the interconnected power system can be stabilized at around 12 seconds, effectively saving the cost of network resources. Under the regulation of the load frequency control model based on sliding mode control, the interconnected power system stabilized in 10 seconds, reducing the load of network transmission. The elastic event-triggered sliding mode load frequency control model can ensure stable transmission of power data under various attacks and has good anti-interference performance. The results of this study have played an important role in achieving the stability of power resource supply. Compared with previous studies on individual power systems, this study solves the attack problem of interconnected power systems and considers the frequency control problem of system security loads under mixed attacks, enabling the system to recover stability faster.

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Section: Secure Lfc Model Construction For Interconnected Power Syste...mentioning

confidence: 99%

Security load frequency control model of interconnected power system based on deception attack

Sun,

Tang,

2024

PLoS ONE

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“…The Markovian jump systems (MJSs) have received growing concerns due to their effective characterization of practical systems over the past years. [1][2][3] The key feature of MJSs lies in the switching between multiple modes via a given Markov chain, which is much different from single dynamic systems. Accordingly, many interesting methods have been proposed for MJSs according to specific requirements, such as a restricted controller-based stabilization scheme in Reference 4.…”

Section: Introductionmentioning

confidence: 99%

“…The Markovian jump systems (MJSs) have received growing concerns due to their effective characterization of practical systems over the past years 1‐3 . The key feature of MJSs lies in the switching between multiple modes via a given Markov chain, which is much different from single dynamic systems.…”

Section: Introductionmentioning

confidence: 99%

Design of sliding mode fault‐tolerant control for Markovian jump systems with probabilistic delay: A discrete partitioning strategy

Zhang

Kao

Ran

et al. 2022

Intl J Robust & Nonlinear

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In this article, the finite-time sliding mode control (SMC) issue is discussed for stochastic Markovian jump discrete systems (MJDSs) subject to actuator failure, probabilistic delay, and external disturbance. The phenomenon of actuator failure is characterized by utilizing an effectiveness factor and a stuck fault function. Our aim is to propose a new finite-time sliding mode fault-tolerant control (SMFTC) strategy for the corresponding closed-loop system. Additionally, based upon the discrete partitioning strategy, the desired sliding mode controller is provided to drive the system from an initial state into the neighborhood of the prescribed sliding surface. Finally, the simulation examples are given to illustrate the effectiveness of the control scheme obtained.

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“…3–9 Stochastic systems have found applications in various fields of science and numerous stochastic models have been proposed to describe real-world randomly varying processes. 10–12 For such systems, several Sliding Mode Control (SMC) based observation strategies have been introduced in the literature. For instance, in Ma et al 13 an adaptive sliding mode observer has been proposed to estimate the states of Itô stochastic jump systems.…”

Section: Introductionmentioning

confidence: 99%

A non-fragile robust observer design for uncertain time-delay fractional Itô stochastic systems with input nonlinearity: An SMC approach

Khandani

Parvizian

Efe

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article considers the problem of non-fragile observer design for uncertain fractional Itô stochastic systems. The design is based on a sliding surface whose reachability in finite time is guaranteed by introducing a novel sliding mode control law. Employing the fractional infinitesimal operator and the related lemmas, the stochastic stability of the overall closed-loop system is transformed to the problem of solving a set of linear matrix inequalities. Addressing the fragility issue, a norm-bounded term is added to the observer gain, which prevents failure of the estimation error system. The adverse effects of the input nonlinearity and time-varying delay are alleviated by the proposed approach. Furthermore, the present method is investigated for the fractional Itô stochastic systems with known states. A numerical example is presented to illustrate the effectiveness of the proposed method.

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A diffusive representation approach toward H_∞ sliding mode control design for fractional-order Markovian jump systems

Cited by 4 publications

References 35 publications

Security load frequency control model of interconnected power system based on deception attack

Security load frequency control model of interconnected power system based on deception attack

Design of sliding mode fault‐tolerant control for Markovian jump systems with probabilistic delay: A discrete partitioning strategy

A non-fragile robust observer design for uncertain time-delay fractional Itô stochastic systems with input nonlinearity: An SMC approach

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A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems

Cited by 4 publications

References 35 publications

Security load frequency control model of interconnected power system based on deception attack

Security load frequency control model of interconnected power system based on deception attack

Design of sliding mode fault‐tolerant control for Markovian jump systems with probabilistic delay: A discrete partitioning strategy

A non-fragile robust observer design for uncertain time-delay fractional Itô stochastic systems with input nonlinearity: An SMC approach

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A diffusive representation approach toward H_∞ sliding mode control design for fractional-order Markovian jump systems