Constrained stochastic control of positive Takagi-Sugeno fuzzy systems with Markov jumps and its application to a DC-DC boost converter

Aatabe, Mohamed; Guezar, Fatima El; Bouzahir, Hassane; Vargas, Alessandro N.

doi:10.1177/0142331220947553

Cited by 16 publications

(12 citation statements)

References 46 publications

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“…To elucidate the dynamics of the PV generator, we analyze the MOSFET while operating in either "on" or "off" mode, as proposed in [18]. The system state of the PV generator is denoted as…”

Section: Photovoltaic Panel Modelmentioning

confidence: 99%

Wireless Diagnosis and Control of DC–DC Converter for Off-Grid Photovoltaic Systems

El Abbadi,

Aatabe,

Bouzid

2024

Sustainability

Self Cite

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Integrating a photovoltaic (PV) microgrid system with wireless network control heralds a new era for renewable energy systems. This fusion capitalizes on the strengths of photovoltaic technology, leveraging solar energy for electricity generation while incorporating advanced networked control capabilities. Although employing network communication to facilitate information exchange among system elements offers benefits, it also introduces novel challenges which can hinder fault diagnosis, such as packet loss and communication delay. This paper focuses on a cloud-based fault detection approach for an effective boost converter within a photovoltaic system. Faults are diagnosed using a detection algorithm based on the Lyapunov function, ensuring power optimization. The effectiveness of our approach is demonstrated through simulations of a PV generator model utilizing real-time weather data collected in Brazil, illustrating its robustness through the acquired results.

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“…To elucidate the dynamics of the PV generator, we analyze the MOSFET while operating in either "on" or "off" mode, as proposed in [18]. The system state of the PV generator is denoted as…”

Section: Photovoltaic Panel Modelmentioning

confidence: 99%

Wireless Diagnosis and Control of DC–DC Converter for Off-Grid Photovoltaic Systems

El Abbadi,

Aatabe,

Bouzid

2024

Sustainability

Self Cite

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“…Because of this characteristic, global load demand is uncertain [35]. Markov chain, in particular, may be used to represent the unpredictable, sudden changes that occur in real-time operations [36]. Following that, we shall go over some basic Markov chain principles.…”

Section: Switching Load Using the Stochastic Processmentioning

confidence: 99%

Observer-Based Control for a New Stochastic Maximum Power Point Tracking for Photovoltaic Systems With Networked Control System

Aslam

Tiwari

Pandey

et al. 2023

IEEE Trans. Fuzzy Syst.

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This study discusses the new stochastic maximum power point tracking (MPPT) control approach towards the photovoltaic cells (PCs). PC generator is isolated from the grid, resulting in a direct current (DC) microgrid that can provide changing loads. In the course of the nonlinear systems through the time-varying delays, we proposed a Networked Control Systems (NCSs) beneath an event-triggered approach basically in the fuzzy system. In this scenario, we look at how random, variable loads impact the PC generator's stability and efficiency. The basic premise of this article is to load changes and the value matching to a Markov chain. PC generators are complicated nonlinear systems that pose a modeling problem. Transforming this nonlinear PC generator model into the Takagi-Sugeno (T-S) fuzzy model is another option. Takagi-Sugeno (T-S) fuzzy model is presented in a unified framework, for which 1) the fuzzy observer-based on this premise variables can be used for approximately in the infinite states to the present system, 2) the fuzzy observer-based controller can be created using this same premises be the observer, and 3) to reduce the impact of transmission burden, an event-triggered method can be investigated. Simulating in the PC generator model for the realtime climate data obtained in China demonstrates the importance of our method. In addition, by using a new Lyapunov-Krasovskii functional (LKF) for combining to the allowed weighting matrices incorporating mode-dependent integral terms, the developed model can be stochastically stable and achieves the required performances. Based on the T-P transformation, a new depiction of the nonlinear system is derived in two separate steps in which an adequate controller input is guaranteed in the first step and an adequate vertex polytope is ensured in the second step.To present the potential of our proposed method, we simulate it for PC generators.

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“…Although the current research focuses on theoretical analysis, many research results show that the relevant achievements of Markov jump systems can be applied to practical control objects. These utilities include circuit model (Dong et al, 2020b; Tian et al, 2021), the DC motor device (Li et al, 2020; Li and Lian, 2021; Zhang et al, 2022a), automotive electronic throttle body (Cheng et al, 2021), DC–DC boost converter (Aatabe et al, 2020), automotive application (Vargas et al, 2020), and so on. In practice, many systems have continuous time variables.…”

Section: Introductionmentioning

confidence: 99%

Design of unknown input observer for discrete-time Markov jump systems with unknown input in both state equation and output equation

Lian,

Tian

2023

Transactions of the Institute of Measurement and Control

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The problem of unknown input observer design for discrete-time nonlinear generalized Markov jump systems is studied. First, like a normal system, the whole nonlinear system is transformed into a local linear system, and then a large number of linear system theories can be applied to solve related problems. Second, in the observer design of general discrete-time Markov jump systems, only the unknown input in the state equation is usually considered. In this paper, the unknown input is considered in both the state equation and the output equation. The state estimation error system is derived by defining the error. The non-uniform Lyapunov functional is selected to stabilize the estimation error system using the Lyapunov theory. The sufficient conditions for the stability of the system are obtained and transformed into the feasibility problem of linear matrix inequality. The problem of unknown input observer design for discrete-time nonlinear generalized Markov jump systems is solved using MATLAB software. Finally, a numerical example of two rules and two modes is used to verify the effectiveness and feasibility of the proposed unknown input observer.

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Constrained stochastic control of positive Takagi-Sugeno fuzzy systems with Markov jumps and its application to a DC-DC boost converter

Cited by 16 publications

References 46 publications

Wireless Diagnosis and Control of DC–DC Converter for Off-Grid Photovoltaic Systems

Wireless Diagnosis and Control of DC–DC Converter for Off-Grid Photovoltaic Systems

Observer-Based Control for a New Stochastic Maximum Power Point Tracking for Photovoltaic Systems With Networked Control System

Design of unknown input observer for discrete-time Markov jump systems with unknown input in both state equation and output equation

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