Chattering free robust adaptive integral higher order sliding mode control for load frequency problems in multi‐area power systems

Sarkar, Mrinal Kanti; Dev, Ark; Asthana, Pankhuri; Narzary, Daijiry

doi:10.1049/iet-cta.2017.0735

Cited by 60 publications

(31 citation statements)

References 29 publications

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“…Another possible future research direction is to consider the stabilization control design for the RotIPS under additive matched and mismatched disturbances. Finally, we can also apply the proposed FB-STSA to the power system load frequency control problem [34], [35].…”

Section: ) Sliding Phase Stabilitymentioning

confidence: 99%

Fuzzy-Based Super-Twisting Sliding Mode Stabilization Control for Under-Actuated Rotary Inverted Pendulum Systems

Nguyen

Kim

et al. 2020

IEEE Access

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This paper considers the stabilization problem for under-actuated rotary inverted pendulum systems (RotIPS) via a fuzzy-based continuous sliding mode control approach. Various sliding mode control (SMC) methods have been proposed for stabilizing the under-actuated RotIPS. However, there are two main drawbacks of these SMC approaches. First, the existing SMCs have a discontinuous structure; therefore, their control systems suffer from the chattering problem. Second, a complete proof of closed-loop system stability has not been provided. To address these two limitations, we propose a fuzzy-based (continuous) super-twisting stabilization algorithm (FBSTSA) for the under-actuated RotIPS. We first introduce a new sliding surface, which is designed to resolve the under-actuation problem, by combining the fully-actuated (rotary arm) and the under-actuated (pendulum) variables to define one sliding surface. Then, together with the proposed sliding surface, we develop the FBSTSA, where the corresponding control gains are adjusted based on a fuzzy logic scheme. Note that the proposed FBSTSA is continuous owing to the modified supertwisting approach, which can reduce the chattering and enhance the control performance. With the proposed FBSTSA, we show that the sliding variable can reach zero in finite time and then the closed-loop system state converges to zero asymptotically. Various simulation and experimental results are provided to demonstrate the effectiveness of the proposed FBSTSA. In particular, (i) compared with the existing SMC approaches, chattering is alleviated and better stabilization is achieved; and (ii) the robustness of the closed-loop system (with the proposed FBSTSA) is guaranteed under system uncertainties and external disturbances. INDEX TERMS Asymptotic stability, finite-time stability, fuzzy-based super-twisting sliding mode control, rotary inverted pendulum system, stabilization control.

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Section: ) Sliding Phase Stabilitymentioning

confidence: 99%

Fuzzy-Based Super-Twisting Sliding Mode Stabilization Control for Under-Actuated Rotary Inverted Pendulum Systems

Nguyen

Kim

et al. 2020

IEEE Access

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“…Substituting (25) into (27), and taking (28), (29) into account, it can be obtained, V 1 (t) ≤ξ T (t) ξ (t) + e T f (t) e f (t) (30) wherẽ…”

Section: B Robust Stability Analysismentioning

confidence: 99%

“…In [21]- [24], the sliding mode control (SMC) is proposed to design as the load frequency controllers, and the controllers obtained by SMC are convenient to design. In [25]- [27], the higher order sliding mode control strategy is proposed to reduce the chattering phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Event-Triggered Load Frequency Control for Interconnected Microgrids by Observer-Based Sliding Mode Control

Wang

Xiao

2019

IEEE Access

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This paper focuses on the load frequency control (LFC) for a multi-area interconnected microgrid power system with the introduction of communication networks, a robust sliding mode control strategy based on the adaptive event-triggered mechanism is proposed against the frequency deviation caused by power unbalance or time delays. First, a three-area power system attached to renewable energies and energy storage is considered, the corresponding LFC model is established. Second, the networked control is introduced into the LFC scheme, and the adaptive trigger mechanism which can adaptively adjust the event-triggered threshold is designed to improve the data transmission efficiency, the LFC scheme with network induced delays is formulated. Third, the Luenberger observer is designed to estimate the state errors and to facilitate the design of the sliding surface, the overall closed-loop system asymptotically stable and robust performance are analyzed by solving linear matrix inequalities. Then the control law is proved that the system state trajectory can be driven into the designed sliding surface in a limited time. Finally, some simulation experiments are given, and the results show that the proposed method is effective and has excellent robust performance. INDEX TERMS Microgrid power system, load frequency control, event-triggered control, robust performance, sliding mode observer.

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“…In [21], the adaptive double integral SMC is proposed for LFC of the LSPS where the time-delay is not considered. e goal of Sarkar was to design an adaptive integral higher order SMC for LFC problems to guarantee the frequency variation [22]. In [23], this article indicated nonlinear SMC with parametric uncertainties for LFC utilization in the LSPS to vary the system damping characteristics under uncertainties and step load disturbances.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Integral Second‐Order Sliding Mode Control Design for Load Frequency Control of Large‐Scale Power System with Communication Delays

et al. 2021

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Nowadays, the power systems are getting more and more complicated because of the delays introduced by the communication networks. The existence of the delays usually leads to the degradation and/or instability of power system performance. On account of this point, the traditional load frequency control (LFC) approach for power system sketches a destabilizing impact and an unacceptable system performance. Therefore, this paper proposes a new LFC based on adaptive integral second-order sliding mode control (AISOSMC) approach for the large-scale power system with communication delays (LSPSwCD). First, a new linear matrix inequality is derived to ensure the stability of whole power systems using Lyapunov stability theory. Second, an AISOSMC law is designed to ensure the finite time reachability of the system states. To the best of our knowledge, this is the first time the AISOSMC is designed for LFC of the LSPSwCD. In addition, the report of testing results presents that the suggested LFC based on AISOSMC can not only decrease effectively the frequency variation but also make successfully less in mount of power oscillation/fluctuation in tie-line exchange.

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Chattering free robust adaptive integral higher order sliding mode control for load frequency problems in multi‐area power systems

Cited by 60 publications

References 29 publications

Fuzzy-Based Super-Twisting Sliding Mode Stabilization Control for Under-Actuated Rotary Inverted Pendulum Systems

Fuzzy-Based Super-Twisting Sliding Mode Stabilization Control for Under-Actuated Rotary Inverted Pendulum Systems

Adaptive Event-Triggered Load Frequency Control for Interconnected Microgrids by Observer-Based Sliding Mode Control

Adaptive Integral Second‐Order Sliding Mode Control Design for Load Frequency Control of Large‐Scale Power System with Communication Delays

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