Asynchronous Control for Discrete-Time Hidden Markov Jump Power Systems

Subramanian, K.; Joo, Young Hoon; Kim, Han Sol

doi:10.1109/tcyb.2021.3062672

Cited by 50 publications

(18 citation statements)

References 30 publications

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“…It should be pointed out that the proposed Markov process (MP) can be used to describe the abrupt changes in system structure, which has been widely used in theoretical analysis and practical applications [33], [34], [35]. Soliman and Shafiq [36], used the discrete-time MP to model transient and permanent faults of power lines, and the results were generalized to discrete-time hidden Markov jump power systems [37]. Zhao et al [30], proposed a distributed secondary control for islanded MG, and adopted the MP to describe the switching between multiple time delays.…”

Section: B Literature Reviewmentioning

confidence: 99%

Event-Based Distributed Secondary Control for AC Islanded Microgrid With Semi-Markov Switched Topology Under Cyber-Attacks

Shen

Yuan

Shi

et al. 2023

IEEE Systems Journal

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The operation of a microgrid (MG) is easily affected by the environment, which leads to the change of communication topology among distributed generations (DGs). Most of the existing results on secondary control of MG consider that the topology connection is fixed, or just simply switched by arbitrary form. In this article, a more general semi-Markov process is introduced to describe such switching, i.e., the switching of communication topology is regarded as a random change process of system mode under general probability distribution. Then, out of the comprehensive consideration of inevitable network constraints, this article proposes distributed resilient secondary control method for AC islanded MG. In our control strategy, the network security, communication burden, and transmission delay are all considered in the controller design. An event detection mechanism is used as the transmission protocol for information interaction among DGs, reducing the communication burden effectively. And a cyber-attack model is introduced to follow the Bernoulli distribution, and the neighbors' information of each DG may be attacked with possible probability. Based on feedback linearization, the studied secondary control problem is cast into distributed tracking synchronization of first-order multiagent systems. The Lyapunov functional method is used to prove the proposed strategy theoretically, and its effectiveness is verified by a modified IEEE 34 bus test system. The result shows that the proposed method can reduce the communication numbers by over 80% under the premise of realizing frequency restoration and accurate real power sharing of AC islanded MG, and the transmission rate is also reduced by about 40% compared with the existing general method.

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Section: B Literature Reviewmentioning

confidence: 99%

Event-Based Distributed Secondary Control for AC Islanded Microgrid With Semi-Markov Switched Topology Under Cyber-Attacks

Shen

Yuan

Shi

et al. 2023

IEEE Systems Journal

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“…A typical problem in data analysis to study timeserie properties and, possibly, trying to build a predictive model. Built model are typically of autoregression, Kalman filter [9], [10], [11], [12], [13], hidden Markov model [14], [15], [16], [17], [18], [19], [20], and others [21]. In this work we consider timeserie data of M past observations, only past observations l = 1 .…”

Section: Introductionmentioning

confidence: 99%

On a Moving Average with Internal Degrees of Freedom

Boudjemila

Bobyl

Давыдов

et al. 2022

2022 International Conference on Electrical Engineering and Photonics (EExPolytech)

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A new type of moving average is developed. Whereas a regular moving average (e.g. of price) has a built-in internal time scale (time-window, exponential weight, etc.), the moving average developed in this paper has the weight as the product of a polynomial by window factor. The polynomial is the square of a wavefunction obtained from an eigenproblem corresponding to other observable (e.g. execution flow I = dV /dt, the number of shares traded per unit time). This allows to obtain an immediate "switch" without lagging typical for regular moving average.

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“…According to Lemma 1 and by using the Schur complement in equation ( 21) (10) the proof is completed.…”

mentioning

confidence: 95%

“…In this case, Markov chains are widely adopted to model the variations in PS states. In [10], the Markov chain was employed to describe the random mutations of the discrete-time PS. In [11], the uncertain Markov chain was applied for the decentralized control of the PS.…”

mentioning

confidence: 99%

Load Frequency Control for Interconnected Multi-area Power Systems with the Semi-Markov Jumping Parameter and Actuator Failure

Jiang¹,

Wang²,

Bai

et al. 2022

Mathematical Problems in Engineering

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In this study, we study the load frequency control (LFC) problem for interconnected multiarea power systems (IMAPSs) with quantization and actuator failure. To effectively reduce the amount of data in the channel, input signals will be quantized before being transmitted from a controller to a system through the digital communication channel. To reveal the asynchronous phenomenon between the original plant and LFC with actuator failure, a hidden semi-Markov model is formulated. In addition, the stability of the jump system under network attack is discussed. On the basis of the Lyapunov theory, sufficient conditions are derived to ensure the stochastic stability of IMAPSs. Finally, the validity of the theoretical results is tested via a simulation example.

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Asynchronous Control for Discrete-Time Hidden Markov Jump Power Systems

Cited by 50 publications

References 30 publications

Event-Based Distributed Secondary Control for AC Islanded Microgrid With Semi-Markov Switched Topology Under Cyber-Attacks

Event-Based Distributed Secondary Control for AC Islanded Microgrid With Semi-Markov Switched Topology Under Cyber-Attacks

On a Moving Average with Internal Degrees of Freedom

Load Frequency Control for Interconnected Multi-area Power Systems with the Semi-Markov Jumping Parameter and Actuator Failure

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