Bilal Şenol

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• Assoc. Prof. Dr.
• Professor (Associate) at Aksaray University

Breast cancer is a leading cause of mortality among women, with early detection being crucial for effective treatment. Mammographic analysis, particularly the identification and classification of breast masses, plays a crucial role in early diagnosis. Recent advancements in deep learning, particularly Vision Transformers (ViTs), have shown signific...

Vision Transformers (ViTs) are the state-of-the-art deep learning technology in medicine. ViTs require a large number of parameters, so they need a relatively large dataset for learning. This is currently possible due to the digitization of healthcare. As a comparison, we also use classical classifiers, which are characterized by a relatively low n...

Fractional order polynomials, which expand the notion of integer order polynomials, have substantial applications in many domains including control theory, signal processing, and complex dynamic systems. The roots of these polynomials, defined as the variable values that nullify the polynomial, are essential for comprehending their behavior and app...

The study focuses on the fractional complex order plant model, which has gained popularity in applied mathematics, physics, and control systems. A significant contribution of this research lies in discussing the physical phenomena associated with complex plant models and their impact on system stability and robustness. The main purpose of the metho...

In this paper, a fractional order proportional-integral-derivative controller design has been carried out with two different optimization methods for a first-order time-delay model with fractional number in its order to provide the frequency characteristics of an ideal system. These two optimization methods are the genetic algorithm and particle sw...

In this publication, fractional-order proportional-integral-derivative controller design using genetic algorithm is realized with the aim of providing the frequency characteristics of an ideal system. In addition to classical controllers, fractional-order controllers have also found a wide area of use in recent years. Although the increase in the n...

In this study, a controller design has been made to provide stability and robustness of a system model. In order to provide this goal, fractional proportional-integral-derivative controller which has been widely used in recent years has been used. This controller which has a more complex structure compared to classical proportional-integral-derivat...

This study presents the creation of a fractional order proportional-integral controller using a genetic algorithm that has demonstrated its reliability and found widespread application in the literature. The system was intended to provide the properties of Bode's ideal transfer function at the time the controller was designed. The system will be st...

In this paper, a fractional order proportional-integral controller design has been made using a genetic algorithm that has found a considerable area of use in the literature and has proven its reliability. While designing the controller, it was aimed for the system to provide the characteristics of Bode's ideal transfer function. Thus, the system w...

The Fractional Complex Order Plant model, which has lately gained popularity in applied physics and control systems, is the main subject of this study. The major contribution of this study to the literature is the discussion of the physical phenomena of complex plant models and how they affect the stability and robustness of the systems. Because th...

Recently, Electrocardiography (ECG) signals are commonly used in diagnosing the cardiac arrhythmia that shows up with the loss of the regular movement of the heart. Approximately 5% of the world population have cardio motor disorders. Therefore, usage of the ECG signals in biomedical signal processing algorithms and machine learning methods for aut...

This example-oriented article addresses the computation of regions of all robustly relatively stabilizing Proportional-Integral (PI) controllers under various robust stability margins α for Linear Time-Invariant (LTI) plants with unstructured multiplicative uncertainty, where the plant model with multiplicative uncertainty is built on the basis of...

This paper studies the tuning of non-integer order proportional integral controller for time delay plants having one fractional order in its denominator polynomial. The well-known first order plus time delay plant is reorganized to have the order of the operator s to be an arbitrary real number. The main aim is to tune the parameters of the fractio...

This research focuses on the fractional complex order plant (FCOP). The significant contribution is the role of complex plant models in system stability and robustness and associated physical phenomena. A general transfer function is studied in the paper. Other plant models may be built with this structure since the FCOP is a general mathematical f...

Lung cancer arises from the abnormal and uncontrolled reproduction of parenchymal cells. Among all cancer cases, lung cancer is one of the prevailing types. Prevalence and death rates of the cancer increases day by day. From this point of view, early diagnosis and treatment of this cancer increases survival times and rates. The main idea in the dev...

This contribution deals with the comparison of control simulations and real-world control experiments on a laboratory model of a hot-air tunnel using robustly relatively stabilizing Proportional-Integral(-Derivative) (PI(D)) controllers. The control synthesis takes advantage of the recently published authors’ work that has presented a method for ca...

This study presents a soft computing tool for the computer-aided design of disturbance rejection FOPID controllers based on the maximization of Reference to Disturbance Ratio (RDR) index. The study illustrates the utilization of software routines to implement a soft computing scheme in order to solve a closed loop disturbance rejection FOPID contro...

This article deals with the calculation of all robustly relatively stabilizing (or robustly stabilizing as a special case) Proportional-Integral-Derivative (PID) controllers for Linear Time-Invariant (LTI) systems with unstructured uncertainty. The presented method is based on plotting the envelope that corresponds to the trios of P-I-D parameters...

This article deals with the computation of robustly performing Proportional-Integral (PI) controllers for interval plants, where the performance measures are represented by the worst-case Gain Margin (GM) and Phase Margin (PM) specifications, in the event of multiple Phase Crossover Frequencies (PCFs) and/or Gain Crossover Frequencies (GCFs). The m...

This example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled pl...

Bu yayın, ikinci derece zaman gecikmeli modellerin kararlılık ve dayanıklı performansı için kesir dereceli oransal-integral denetleyicinin adım adım tasarımına odaklanmaktadır. Analitik olarak elde edilmiş denklemler genelleştirilmiştir ve söz konusu modeller için kullanılabilir. Yöntemin ana hedefi, Bode çizimindeki kazanç ve faz kesim frekansları...

Robust stability is a major concern for real-world control applications. Realization of optimal robust stability requires a stabilization scheme, which ensures that the control system is stable and presents robust performance for a predefined range of system perturbations. This study presented an optimal robust stabilization approach for closed-loo...

The contribution focuses on the investigation of robust stability for fractional-order linear time-invariant (LTI) systems with the multilinear structure of ellipsoidal parametric uncertainty, i.e., the analyzed family of fractional-order polynomials has the multilinear uncertainty structure and an ellipsoid-shaped uncertainty bounding set. The rob...

The paper is focused on robust Proportional-Integral (PI) control of interval plants with gain and phase margin specifications and on the application of this approach to a Continuous Stirred Tank Reactor (CSTR). More specifically, the work aims at the determination of PI controller parameter regions, for which not only robust stability but also som...

The frequency frame is used to tune fractional order proportional-integral controllers for stability, performance and robustness of third order plus time delay plants. Such plants are frequently used in describing thermal processes such as an air heater or a fired boiler. The aim is to tune the controller to meet some frequency domain properties. A...

Bu yayında üçüncü derece ve zaman gecikmesi içeren sistem modellerinin kararlılığı, performansı ve dayanıklılığı için analitik bir oransal integral denetleyici tasarım yöntemi sunulmuştur. Denetleyici tasarımı, ideal bir sistemin frekans tepkilerini ele alarak denetlenmek istenen sistemin arzu edilen kazanç ve faz özelliklerini sağlaması üzerinde y...

This paper intends to tune fractional order proportional derivative controller for the performance, stability and robustness of second order plus time delay plant. The tuning method is based on the previously proposed “frequency frame” which is a rectangular frame enclosing gain and phase margins limited with gain and phase crossover frequencies in...

This study proposes to tune proportional integral (PI) controllers for the stability and performance of thermal processes described by first order plus time delay (FOPTD) and second order plus time delay (SOPTD) plants. In addition to stability, parameters of the controllers are tuned to meet the desired gain crossover frequency and phase margin fo...

Due to the adverse effects of unpredictable environmental disturbances on real control systems, robustness of control performance becomes a substantial asset for control system design. This study introduces a v-domain optimal design scheme for Fractional Order Proportional-Integral-Derivative (FOPID) controllers with adoption of Genetic Algorithm (...

This paper presents the application of a value-set-based graphical approach to robust stability analysis for the ellipsoidal families of fractional-order polynomials with a complex structure of parametric uncertainty. More specifically, the article focuses on the families of fractional-order linear time-invariant polynomials with affine linear, mul...

z Kesir dereceli dinamik sistem modelleri gerçek hayatta kullanılan sistemleri daha doğru bir şekilde temsil edilebilmesi nedeni ile kesir dereceli sistem modellerine ve kesir dereceli kontrole olan ilgi artırmıştır. Bu çalışma kesir dereceli sistem modellerinin kararlılık analizi için kullanılan v-alanı içerisinde, minimum açılı kutup yerleştirme...

The contribution intends to present the application of the value set concept to the ellipsoidal polynomial families with multilinear uncertainty structure. It is a follow-up to the previously published work, where the ellipsoidal polynomial families with affine linear uncertainty structure were studied. In the first parts of this paper, the basic t...

The aim of the method in this paper is to achieve desired gain and phase specifications for robustness and performance of first order plus time delay plants. The previously proposed method “frequency frame”, implemented for tuning fractional order proportional integral controllers, is applied on such plants controlled with a fractional order propor...

Bu çalışmada ikinci dereceden zaman gecikmeli sistemlerin kararlılığı ve performansı için oransal integral denetleyicilerin analitik tasarımı verilmiştir. Çalışmada önerilen yöntem söz konusu sistemler için genelleştirilmiş hesaplama eşitliklerini elde etmektedir. Bode’nin ideal transfer fonksiyonunun karakteristiklerinden esinlenerek, kazanç kesim...

This paper intends to present the design scheme of a Proportional Derivative controller for stability and performance of time delay systems in the second order. Inspired from Bode’s ideal system characteristics, phase margin and gain crossover frequency specifications are considered for the system. Then, these specifications are used to obtain the...

This study proposes an analytical design method of a Proportional Integral controller for the stability and performance of first order plus time delay systems. The method proposed in the study achieves general computation equations for such systems. Inspired from Bode's ideal loop, gain crossover frequency and phase margin specifications are consid...

This study proposes an analytical design method of fractional order proportional integral (FOPI) controllers for first order plus time delay (FOPTD) systems. Suggested technique obtains the general computation equations of controllers for such systems. These equations are used to tune controller parameters to meet specified frequency and phase prop...

This contribution is focused on systems with unstructured additive uncertainty, their description and robust stability analysis. The work presents particularly the example of the additive uncertainty model creation on the basis of a third order integrating plant with parametric uncertainty by means of the selection of a nominal system and a suitabl...

The main aim of this paper is to present and compare three approaches to uncertainty modeling and robust stability analysis for fractional-order (FO) linear time-invariant (LTI) single-input single-output (SISO) uncertain systems. The investigated objects are described either via FO models with parametric uncertainty, by means of FO unstructured mu...

This study contributes on tuning two feedback controllers which is a different point of view than classical controller structure. Controllers are tuned to make a fractional order plant meet some desired frequency response specifications. Two specifications on the Bode plot are given and frequency analysis of the whole system is studied. The aim is...

Multiple linear uncertainty models mainly appear at linear time invariant system modelling of cascaded process and this uncertainty structure complicates parametric robust stability analyses of real control systems. To address this problem, this study presents a robust stability analysis scheme for fractional order control system models including m...

This article deals with continuous-time Linear Time-Invariant (LTI) Single-Input Single-Output (SISO) systems affected by unstructured multiplicative uncertainty. More specifically, its aim is to present an approach to the construction of uncertain models based on the appropriate selection of a nominal system and a weight function and to apply the...

The main aim of this article is to present a graphical approach to robust stability analysis for families of fractional order (quasi-)polynomials with complicated uncertainty structure. More specifically, the work emphasizes the multilinear, polynomial and general structures of uncertainty and, moreover, the retarded quasi-polynomials with parametr...

The principal goal of this contribution is to present two different approaches to description and robust stability analysis of continuous-time fractional order uncertain systems. The first approach uses fractional order models with parametric uncertainty and robust stability of corresponding closed-loop control systems is investigated by using the...

In this paper a simplified frequency response computation was considered for fractional order systems with multiple linear uncertainty structures. Bode and Nyquist envelopes of systems with various multiple versions of affine, interval and single parameter uncertainties were obtained using a 2q-convex parpolygon algorithm. Results were illustrated...

This study investigates effects of fractional order perturbation on the robust stability of linear time invariant systems with interval uncertainty. For this propose, a probabilistic stability analysis method based on characteristic root region accommodation in the first Riemann sheet is developed for interval systems. Stability probability distrib...

This paper presents a comparison study for filter approximations and model reduction techniques for control systems of fractional orders. Oustaloup's recursive filter and a refined Oustaloup's filter are represented to obtain higher integer order approximations of fractional order systems. Then these higher integer order systems are exposed to mode...

This paper presents some results for stability analysis of fractional order polynomials using the Hermite-Biehler theorem. The possibilities of the extension of the Hermite-Biehler theorem to fractional order polynomials is investigated and it is observed that the Hermite-Biehler theorem can be an effective tool for the stability analysis of fracti...

This experimental study investigates the practical benefits and drawbacks of error-cube control for closed-loop PID control structures. The error-cube control approach employs the cube power of the error signal for controllers and this causes variability in control characteristics due to the non-linearity of the cube power operation. The error-cube...

This study presents numerical methods for robust stability analysis of closed loop control systems with parameter uncertainty. Methods are based on scan sampling of interval characteristic polynomials from the hypercube of parameter space. Exposed-edge polynomial sampling is used to reduce the computational complexity of robust stability analysis....

This paper discusses the robust stability problem of fractional order systems with the multi-linear affine uncertainty structure. The 2q2q-convex parpolygon approach has been extended to compute the value set of the fractional order uncertain system and to investigate the robust stability via zero exclusion principle. An illustrative example is inc...

Kesir Dereceli PID kontroller, geleneksel PID kontrollerine göre üstün kontrol performansı sergileyebilmeleri nedeni ile araştırmacıların ilgilerini çekmeye başlamıştır. Bu çalışmada, kesir dereceli kapalı çevrim PID kontrolör yapısının, bir referans modele göre optimizasyon problemi için çözüm önerisi sunulmuştur. Referans model olarak Bode’nin...

This paper proposes a method to compute frequency boundaries of fractional order control systems with nonlinear uncertainty structures that include and guarantee the Bode and Nyquist envelopes. Then, a laglead compensator is designed based on the frequency boundary to provide desired gain and phase specifications. Two types of nonlinear uncertainty...

Bu yayında, 2q-konveks parpoligon yapısı kullanılarak, kesir dereceli affine belirsizlik yapısındaki kontrol sistemlerinin Nyquist zarflarının elde edilme süreci gösterilmiştir. Verilen kesir dereceli affine belirsizlik yapısı içeren kontrol sisteminin köşe ve kenar polinomlarının elde edilmesi için sistemin pay ve paydalarını oluşturan polinoml...

zetçe Bu yayında, belirsiz parametre içeren kesir dereceli polinom ailelerinin üslerinin kararlılık analizi yapılmıştır. Kararlı tepki veren belirsiz parametreli kesir dereceli polinom aileleri ele alınmış, üsleri bir aralık içerisinde değiştirilerek değer kümeleri oluşturulmuş ve sıfırı dışarıda bırakma prensibi ile üslerin kararlılık aralıkları i...

Fractional order models are frequently used to describe real processes especially in the last decades. Uncertainties in this processes mostly yield to some bad results and brings computational complexity. So this comes up as a new problem waiting to be analyzed. In this paper, a 2q convex parpolygonal approach is applied to the computation of valu...

Fractional order models are frequently used to describe real processes especially in the last decades. Uncertainties in this processes mostly yield to some bad results and brings computational complexity. So this comes up as a new problem waiting to be analyzed. In this paper, a 2q convex parpolygonal approach is applied to the computation of value...

This paper presents a general purpose graphical approach to the stability analysis of fractional order polynomials with various parametric uncertainty structures. The value set of the fractional order uncertain polynomials has been obtained and successfully combined with the well known zero exclusion principle to investigate the robust stability of...

This paper presents a toolbox developed in Matlab for analysis and design of fractional order control systems that can be used in advanced control courses within the context of master and doctorate education. The toolbox includes a user friendly interface for every function. One can obtain time and frequency analysis tools both for the fractional o...

Bu yayında, kesir dereceli kontrol sistemlerinin zaman ve frekans tepkilerinin analizinde kolaylık sağlamak için MATLAB ortamında arayüz ve program geliştirilmiştir. Bu program kullanılarak kesir dereceli sistemlerin zaman tabanında birim basamak tepkileri, frekans tabanında Bode, Nyquist ve Nichols grafikleri kolayca çizilebilmektedir.