Robust adaptive active disturbance rejection control of an electric furnace using additional continuous sliding mode component

Rsetam, Kamal; AL-Rawi, Mohammad; Cao, Zhenwei

doi:10.1016/j.isatra.2022.03.024

Cited by 12 publications

(4 citation statements)

References 32 publications

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“…This means that the estimation errors of both disturbances and the system states converge to zero slowly, and the estimation accuracy by the above observers is limited. To speed up the estimation error convergence, the finite time observers were proposed by [35], which have been successfully applied in many applications such as electric furnace and robot systems [36,37], electronic throttle systems [38,39], dc-dc buck converters [40], dc servomotors [41], etc.…”

Section: The State Of the Art Of The Workmentioning

confidence: 99%

Finite Time Disturbance Observer Based on Air Conditioning System Control Scheme

et al. 2023

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A novel robust finite time disturbance observer (RFTDO) based on an independent output-finite time composite control (FTCC) scheme is proposed for an air conditioning-system temperature and humidity regulation. The variable air volume (VAV) of the system is represented by two first-order mathematical models for the temperature and humidity dynamics. In the temperature loop dynamics, a RFTDO temperature (RFTDO-T) and an FTCC temperature (FTCC-T) are designed to estimate and reject the lumped disturbances of the temperature subsystem. In the humidity loop, a robust output of the FTCC humidity (FTCC-H) and RFTDO humidity (RFTDO-H) are also designed to estimate and reject the lumped disturbances of the humidity subsystem. Based on Lyapunov theory, the stability proof of the two closed-loop controllers and observers is presented. Comparative simulations are carried out to confirm that the proposed controller outperforms conventional methods and offers greater accuracy of temperature, humidity, and carbon dioxide concentration, having superior regulation performance in terms of a rapid finite time convergence, an outstanding disturbance rejection property, and better energy consumption. In addition to presenting the comparative simulation results from the control applications on the VAV system, the quantitative values are provided to further confirm the superiority of the proposed controller. In particular, the proposed method exhibits the shortest settling time of, respectively, 15 and 40 min to reach the expected temperature and humidity, whereas other comparative controllers require a longer time to settle down.

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Section: The State Of the Art Of The Workmentioning

confidence: 99%

Finite Time Disturbance Observer Based on Air Conditioning System Control Scheme

et al. 2023

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“…In recent years and decades, much research has been conducted using a variable structure based on sliding mode control (SMC) to control nonlinear systems [1][2][3][4][5][6][7]. For example, SMC is used for the cart-pendulum model [2], for an electric furnace [3], for spacecraft [4], for a permanent magnet synchronous motor (PMSM) [5,6], for linear motor positioning [7], etc. This is because a traditional SMC can overcome the matched uncertainties since it is invariant, which is its most important property [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…. , m are smooth, and their first (ρ i − 1) derivatives are assumed to be available either through direct measurement or via an estimator [1][2][3][4][5][6][7][8][9]14,[19][20][21][38][39][40][41].…”

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Higher Order Sliding Mode Control of MIMO Induction Motors: A New Adaptive Approach

Karami-Mollaee,

Barambones

2023

Mathematics

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In this paper the objective is to force the outputs of nonlinear nonaffine multi-input multi-output (MIMO) systems to track those of a linear system with the desired properties. The approach is based on designing higher order sliding mode controller (HOSMC) with the definition of a new proportional-integral (PI) sliding surface. To this end, a linear state feedback with an adaptive switching gain (ASG) is applied to the nonlinear MIMO systems. Therefore, the switching gain can increase or decrease based on the system conditions. Then, the chattering is completely removed using a combination of HOSMC and ASG. Moreover, the proposed procedure is independent from the upper bound of the matched uncertainty, which is in the direction of system inputs. The finite time convergence to the sliding surface is also proved, which provides an invariance property in finite time. Note that invariance is the most important property of SMC. Finally, the general model of MIMO induction motors (IM) is used to address and to verify the proposed controller.

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Automatic clutch control using ADRC with continuous adaptive extended state observer

Liu,

2024

Intl J Robust & Nonlinear

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Disturbances and uncertainties, ubiquitous in real‐world systems, complicate model‐based control design. A key challenge is developing a precise control strategy that takes all disturbances into account. The automatic dry‐type clutch is a nonlinear, uncertain, and continuous system, where influencing factors are regarded as total disturbances. An active disturbance rejection control (ADRC) framework with an adaptive extended state observer (AESO) is proposed. The AESO's key strength is its adaptability, adjusting gains over time to minimize state estimation errors and noise impacts. This optimizes disturbance estimation, enhancing closed‐loop system performance. Furthermore, we prove the stability of the AESO through the Lyapunov method and, based on this, set the controller parameters as a Hurwitz matrix to ensure the stability of the closed‐loop system. Experimental data from clutch control demonstrates the efficacy of this controller. It ensures clutch position accuracy with a mean value of 13.5255 mm and a root mean square error of 28.7368 mm. Notably, the AESO's observation errors are minimal, averaging at 0.4365 mm with a root mean square error of 0.7068 mm, even under conditions of uncertain dynamics and measurement noise. This performance surpasses traditional ADRC methods relying on linear extended state observers (ESO) and PI control, thereby advancing the practical applicability of ADRC. Finally, through simulations comparing with fuzzy ESO and nonlinear ESO, the results show that the proposed AESO can achieve the same effect as them.

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Robust adaptive active disturbance rejection control of an electric furnace using additional continuous sliding mode component

Cited by 12 publications

References 32 publications

Finite Time Disturbance Observer Based on Air Conditioning System Control Scheme

Finite Time Disturbance Observer Based on Air Conditioning System Control Scheme

Higher Order Sliding Mode Control of MIMO Induction Motors: A New Adaptive Approach

Automatic clutch control using ADRC with continuous adaptive extended state observer

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