Robust Stability Analysis of Smith Predictor Based Interval Fractional-Order Control Systems: A Case Study in Level Control Process

Ghorbani, Majid; Tavakoli-Kakhki, Mahsan; Tepljakov, Aleksei; Petlenkov, Eduard

doi:10.1109/jas.2022.105986

Cited by 12 publications

(5 citation statements)

References 69 publications

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“…At present, FOSs are widely used in many areas such as engineering systems [3][4][5] and economic systems [6,7]. A lot of significant achievements in the field of integer-order systems have been extended to FOSs, such as stability analysis [8,9] and feedback control [10,11].…”

Section: Introductionmentioning

confidence: 99%

Supplemental Stability Criteria with New Formulation for Linear Time-Invariant Fractional-Order Systems

Lv,

Zhang,

Zhang

2024

Fractal Fract

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In this paper, new stability criteria for linear time-invariant fractional-order systems (LTIFOSs) based on linear matrix inequalities (LMIs) are derived. The solved variable of the existing LMI formulations is generalized to a complex one. In addition, based on the congruent transformation, a new LMI formulation is obtained, which is different from those in the existing literature. To deal with the above LMIs more conveniently with simulation software, the complex LMIs are converted to equivalent real LMIs. Finally, numerical examples are presented to validate the effectiveness of our theoretical results.

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Section: Introductionmentioning

confidence: 99%

Supplemental Stability Criteria with New Formulation for Linear Time-Invariant Fractional-Order Systems

Lv,

Zhang,

Zhang

2024

Fractal Fract

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“…In general, time delay transfer functions are used to model many real-world systems because time delay is unavoidable and occurs frequently in systems (Ghorbani et al, 2019). In practice, it has been demonstrated that the delay term is inclined to have uncertainties (Feliu-Batlle et al, 2019;Ghorbani et al, 2022aGhorbani et al, , 2022b. Also, it has been demonstrated that the FOPID controller offers greater design flexibility than Integer-Order PID controllers (Podlubny, 1999).…”

Section: Introductionmentioning

confidence: 99%

“…The robust stability analysis of such interval systems is made easier by this characteristic. Motivated by the findings shown in Moornani and Haeri (2010a), Tan et al (2009) and Moornani and Haeri (2010b), some value set-based approaches for testing the robust stability of interval FO plants by FO controllers have been addressed in Ghorbani and Tavakoli-Kakhki (2020) and Ghorbani (2021).…”

Section: Introductionmentioning

confidence: 99%

On robust stability of second order plus interval time delay plants using Fractional-Order Proportional Integral Derivative controllers

Malik

Asadi

Rezaei

2023

Journal of Vibration and Control

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The robust stability assessment of the second order plus interval time delay (SOPITD) plant controlled by Fractional-Order Proportional Integral Derivative (FOPID) controllers is the focus of this research. A simple graphical procedure for analyzing the robust stability of the interval system is presented based on the zero exclusion condition and the value set concept. The incorporation of an auxiliary function, derived through a judicious application of fundamental geometric principles intrinsic to convex polygons, serves to significantly alleviate the complexity and facilitate the application of the robust stability analysis approach, thereby affording a more streamlined and efficient means of designing robust control systems. Moreover, the computational burden for the robust stability analysis is also reduced by novel bounds. Moreover, a novel robust performance checking function is provided to improve the performance system. Three illustrative examples are then given to support the findings and show their applicability.

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“…Model-free delay compensation algorithms are ineffective for handling large delay systems (e.g., delays greater than 15 ms). Some novel control techniques, such as fractional-order control, combined with Smith predictors, have not yet received adequate testing and validation in practical systems [15,16].…”

Section: Introductionmentioning

confidence: 99%

Objective Prediction Tracking Control Technology Assisted by Inertial Information

Leng,

Zhong

2023

JMSE

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This paper addresses the challenge of reduced tracking accuracy in maritime electro-optical tracking equipment when dealing with high-mobility targets like speedboats and aircraft due to off-target error delays. We propose an innovative technique that leverages inertial navigation data to enhance target prediction and tracking control. Our approach involves the real-time integration of high-frequency inertial navigation-derived attitude information into the tracking system. By combining off-target error information with angular measurements from the tracking mechanism, we project the vector of the tracked target into multiple coordinate systems, including the imaging coordinate system, carrier coordinate system, and geographic coordinate system. Subsequently, we model and predict the target’s motion trajectory in the relatively slow-changing geographic coordinate system. This transformation process increases the update frequency and real-time performance of the tracking control position loop command angle. Unlike traditional control methods that heavily rely on the model of the controlled object, our approach significantly improves tracking accuracy and engineering applicability. It offers a technology-based optimization of tracking and control performance through an interdisciplinary theoretical fusion, deeply integrating inertial navigation technology with tracking control technology. Experimental results with maritime electro-optical tracking equipment demonstrate that our proposed control technique increases tracking accuracy for high-speed targets by approximately threefold compared to traditional methods. Under the same experimental conditions, the off-target error statistics are reduced from 1.8 mrad to 633 μrad.

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Robust Stability Analysis of Smith Predictor Based Interval Fractional-Order Control Systems: A Case Study in Level Control Process

Cited by 12 publications

References 69 publications

Supplemental Stability Criteria with New Formulation for Linear Time-Invariant Fractional-Order Systems

Supplemental Stability Criteria with New Formulation for Linear Time-Invariant Fractional-Order Systems

On robust stability of second order plus interval time delay plants using Fractional-Order Proportional Integral Derivative controllers

Objective Prediction Tracking Control Technology Assisted by Inertial Information

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