Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor

Nisa Seçilmiş; Tufan Doğruer

doi:10.31466/kfbd.1708857

TR EN

Smith Öngörücüsü ile Zaman Gecikmeli Kesirli Dereceli Sistemlerin Gelişmiş Kontrolü

Abstract

Smith öngörücü, zaman gecikmeleri olan sistemler için yaygın olarak benimsenen bir kontrol stratejisidir ve gecikmenin olumsuz etkilerini telafi ederek gelişmiş kararlılık ve performans sağlar. Bu çalışmada, zaman gecikmesiyle karakterize edilen kesirli mertebeden sistemler için Smith öngörücü tabanlı kontrolörlerin tasarımına odaklanılmaktadır. Gerçek dünyada var olan sistemleri tamsayı dereceli sistemlerden daha doğru bir şekilde modelleme yetenekleri olan kesirli dereceli sistemler, tamsayı olmayan dinamikleri nedeniyle kontrol tasarımında zorluklar ortaya koymaktadır. Önerilen yaklaşım, daha üstün bir kontrol performansı elde etmek için Smith öngörücünün yeteneklerini kesirli hesabın esnek modelleme gücüyle birleştirir. Kontrolör parametrelerini belirlemek için Ateş Böceği ve Genetik Algoritmanın üstün taraflarını birleştiren hibrit bir optimizasyon algoritması kullanılarak analiz yürütülmüştür. Zaman gecikmeleri olan çeşitli kesirli dereceden sistemler için benzetim çalışmaları sunularak önerilen yöntemin etkinliği gösterilmiştir. Sonuçlar, geleneksel yöntemlere kıyasla sistem kararlılığında, tepki süresinde ve sağlamlıkta önemli iyileştirmeler ortaya koyarak bu yaklaşımı gelişmiş kontrol uygulamaları için umut verici bir çözüm haline getirir.

Keywords

Kesir dereceli sistemler, Smith öngörücüsü, Optimizasyon, Parametre ayarı

Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor

Abstract

The Smith predictor is a widely adopted control strategy for systems with time delays, offering enhanced stability and performance by compensating for the adverse effects of the delay. This study focuses on the design of Smith predictor-based controllers for fractional-order systems characterized by time delays. Fractional-order systems, which have the ability to model real-world processes more accurately than integer-order systems, present challenges in control design due to their non-integer dynamics. The proposed approach combines the capabilities of the Smith predictor with the flexible modeling power of fractional calculus to achieve superior control performance. A hybrid optimization algorithm that merges the strengths of the Firefly Algorithm and Genetic Algorithm is used to determine the controller parameters. Simulation studies on various fractional-order systems with time delays are presented to demonstrate the effectiveness of the proposed method. The results show significant improvements in system stability, response time, and robustness compared to conventional methods, making this approach a promising solution for advanced control applications.

Keywords

Fractional order systems, Smith predictor, Optimization, Parameter tuning

References

Astrom, K. J. (1995). PID controllers: theory, design, and tuning. The international society of measurement and control.
Åström, K. J., & Hägglund, T. (2006). Advanced PID control. ISA-The Instrumentation, Systems and Automation Society.
Atherton, D. (2009). Control engineering. Bookboon.
Bingul, Z., & Karahan, O. (2018). A novel performance criterion approach to optimum design of PID controller using cuckoo search algorithm for AVR system. Journal of the Franklin Institute, 355(13), 5534-5559.
Carlson, G. E., & Halijak, C. (1960). Simulation of the fractional derivative operator and the fractional integral operator Kansas State University].
Chen, G., Liu, D., Mu, Y., Xu, J., & Cheng, Y. (2021). A Novel Smith Predictive Linear Active Disturbance Rejection Control Strategy for the First‐Order Time‐Delay Inertial System. Mathematical Problems in Engineering, 2021(1), 5560123.
Dogruer, T. (2023). Design of I-PD controller based modified smith predictor for processes with inverse response and time delay using equilibrium optimizer. IEEE Access, 11, 14636-14646.
Doğruer, T. (2023). Zaman gecikmesi içeren yüksek dereceli salınım sistemler için hibrit ateşböceği-genetik algoritmaya dayalı pıda kontrolör tasarımı.
Ghorbani, M., Tavakoli-Kakhki, M., Tepljakov, A., & Petlenkov, E. (2022). Robust stability analysis of smith predictor based interval fractional-order control systems: A case study in level control process. IEEE/CAA Journal of Automatica Sinica, 10(3), 762-780.
İçmez, Y., & Can, M. S. (2023). Smith predictor controller design using the direct synthesis method for unstable second-order and time-delay systems. Processes, 11(3), 941.

Ioannou, P. A., & Sun, J. (1996). Robust adaptive control (Vol. 1). PTR Prentice-Hall Upper Saddle River, NJ.
Izci, D., Ekinci, S., & Hussien, A. G. (2023). Effective PID controller design using a novel hybrid algorithm for high order systems. PLoS One, 18(5), e0286060.
Krishna, B. T. (2011). Studies on fractional order differentiators and integrators: A survey. Signal processing, 91(3), 386-426.
Kumar, D., Raja, G. L., Alkhatib, M., Deep, A. K., & Muduli, U. R. (2025). Smith Predictor Based Fractional LFC Strategy for Storage Supported Thermal Power System Amid Communication Dead Time and Cyber Threats. IEEE Transactions on Industry Applications.
Lloyds Raja, G., & Ali, A. (2021). New PI-PD controller design strategy for industrial unstable and integrating processes with dead time and inverse response. Journal of Control, Automation and Electrical Systems, 32, 266-280.
Majhi, S., & Atherton, D. (1999). Modified Smith predictor and controller for processes with time delay. IEE Proceedings-Control Theory and Applications, 146(5), 359-366.
Monje, C. A., Chen, Y., Vinagre, B. M., Xue, D., & Feliu-Batlle, V. (2010). Fractional-order systems and controls: fundamentals and applications. Springer Science & Business Media.
Mou, K., Yang, M., Zhang, M., & Wang, D. (2024). Hybrid golden jackal and golden sine optimizer for tuning PID controllers. Scientific Reports, 14(1), 22189.
Narang, A., Shah, S. L., & Chen, T. (2011). Continuous-time model identification of fractional-order models with time delays. IET Control Theory & Applications, 5(7), 900-912.
Normey-Rico, J. E., & Camacho, E. F. (2007). Model predictive control of dead-time processes. Springer.
O'dwyer, A. (2009). Handbook of PI and PID controller tuning rules. World Scientific.
Özyetkin, M., Yeroglu, C., Tan, N., & Tagluk, M. (2010). Design of PI and PID controllers for fractional order time delay systems. IFAC Proceedings Volumes, 43(2), 355-360.
Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (Vol. 198). elsevier.
Qin, S. J., & Badgwell, T. A. (2003). A survey of industrial model predictive control technology. Control engineering practice, 11(7), 733-764.
Richard, J.-P. (2003). Time-delay systems: an overview of some recent advances and open problems. automatica, 39(10), 1667-1694.
Safaei, M., & Tavakoli, S. (2018). Smith predictor based fractional-order control design for time-delay integer-order systems. International Journal of Dynamics and control, 6(1), 179-187.
Seborg, D. E., Edgar, T. F., Mellichamp, D. A., & Doyle III, F. J. (2016). Process dynamics and control. John Wiley & Sons.
Smith, O. J. (1957). Closer control of loops with dead time. Chemical engineering progress, 53, 217-219.
Tavazoei, M. S. (2010). Notes on integral performance indices in fractional-order control systems. Journal of Process Control, 20(3), 285-291.
Uma, S., & Rao, A. S. (2016). Enhanced modified Smith predictor for second-order non-minimum phase unstable processes. International Journal of Systems Science, 47(4), 966-981.
Valério, D., & Da Costa, J. S. (2012). An introduction to fractional control. Institution of Engineering and Technology.
Vinagre, B., Podlubny, I., Hernandez, A., & Feliu, V. (2000). Some approximations of fractional order operators used in control theory and applications. Fractional calculus and applied analysis, 3(3), 231-248.
Vinagre, B. M., Petras, I., Merchan, P., & Dorcák, L. (2001). Two digital realizations of fractional controllers: Application to temperature control of a solid. 2001 European Control Conference (ECC),
Vrečko, D., Vrančić, D., Juričić, Đ., & Strmčnik, S. (2001). A new modified Smith predictor: the concept, design and tuning. ISA transactions, 40(2), 111-121.
Vu, T. N. L., & Lee, M. (2014). Smith predictor based fractional-order PI control for time-delay processes. Korean Journal of Chemical Engineering, 31(8), 1321-1329.
Yang, X.-S. (2009). Firefly algorithms for multimodal optimization. International symposium on stochastic algorithms,
Ziegler, J. G., & Nichols, N. B. (1942). Optimum settings for automatic controllers. Transactions of the American society of mechanical engineers, 64(8), 759-765.

Details

Primary Language

English

Subjects

Control Theoryand Applications

Journal Section

Research Article

Authors

Nisa Seçilmiş
0009-0007-4011-7528
Türkiye

Tufan Doğruer ^*
0000-0002-0415-3042
Türkiye

Publication Date

March 8, 2026

Submission Date

May 29, 2025

Acceptance Date

November 25, 2025

Published in Issue

Year 2026 Volume: 16 Number: 1

DOI

https://doi.org/10.31466/kfbd.1708857

IZ

https://izlik.org/JA75MB72DY

APA

Seçilmiş, N., & Doğruer, T. (2026). Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor. Karadeniz Fen Bilimleri Dergisi, 16(1), 395-414. https://doi.org/10.31466/kfbd.1708857

AMA

1.Seçilmiş N, Doğruer T. Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor. KFBD. 2026;16(1):395-414. doi:10.31466/kfbd.1708857

Chicago

Seçilmiş, Nisa, and Tufan Doğruer. 2026. “Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor”. Karadeniz Fen Bilimleri Dergisi 16 (1): 395-414. https://doi.org/10.31466/kfbd.1708857.

EndNote

Seçilmiş N, Doğruer T (March 1, 2026) Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor. Karadeniz Fen Bilimleri Dergisi 16 1 395–414.

IEEE

[1]N. Seçilmiş and T. Doğruer, “Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor”, KFBD, vol. 16, no. 1, pp. 395–414, Mar. 2026, doi: 10.31466/kfbd.1708857.

ISNAD

Seçilmiş, Nisa - Doğruer, Tufan. “Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor”. Karadeniz Fen Bilimleri Dergisi 16/1 (March 1, 2026): 395-414. https://doi.org/10.31466/kfbd.1708857.

JAMA

1.Seçilmiş N, Doğruer T. Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor. KFBD. 2026;16:395–414.

MLA

Seçilmiş, Nisa, and Tufan Doğruer. “Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor”. Karadeniz Fen Bilimleri Dergisi, vol. 16, no. 1, Mar. 2026, pp. 395-14, doi:10.31466/kfbd.1708857.

Vancouver

1.Nisa Seçilmiş, Tufan Doğruer. Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor. KFBD. 2026 Mar. 1;16(1):395-414. doi:10.31466/kfbd.1708857

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Smith Öngörücüsü ile Zaman Gecikmeli Kesirli Dereceli Sistemlerin Gelişmiş Kontrolü

Abstract

Keywords

Enhanced Control of Time-Delay Fractional-Order Systems via Smith Predictor

Abstract

Keywords

References

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Published in Issue

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