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This paper looks at frequency domain design of a fractional order (FO) PID controller for an Automatic Voltage Regulator (AVR) system. Various performance criteria of the AVR system are formulated as system norms and is then coupled with an…

Systems and Control · Computer Science 2014-08-21 Saptarshi Das , Indranil Pan

This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach…

Numerical Analysis · Mathematics 2016-12-22 John P. Hollkamp , Mihir Sen , Fabio Semperlotti

Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

The continuous and discrete time Linear Quadratic Regulator (LQR) theory has been used in this paper for the design of optimal analog and discrete PID controllers respectively. The PID controller gains are formulated as the optimal…

Optimization and Control · Mathematics 2013-01-18 Saptarshi Das , Indranil Pan , Kaushik Halder , Shantanu Das , Amitava Gupta

A fractional order (FO) PID or FOPID controller is designed for an Automatic Voltage Regulator (AVR) system with the consideration of contradictory performance objectives. An improved evolutionary Non-dominated Sorting Genetic Algorithm…

Optimization and Control · Mathematics 2013-06-18 Indranil Pan , Saptarshi Das

In this paper, disturbance reconstruction and robust trajectory tracking control of biped robots with hybrid dynamics in the port-Hamiltonian form is investigated. A new type of Hamiltonian function is introduced, which ensures the…

Robotics · Computer Science 2021-10-14 Yousef Farid , Fabio Ruggiero

Phase curve of an open loop system is flat in nature if the derivative of phase with respect to frequency is zero. With a flat phase curve, the corresponding closed-loop system exhibits an iso-damped property i.e. maintains constant…

Systems and Control · Computer Science 2012-02-28 Suman Saha , Saptarshi Das , Ratna Ghosh , Bhaswati Goswami , Amitava Gupta , R. Balasubramanian , A. K. Chandra , Shantanu Das

In this paper, an efficient control strategy for physiological interaction based anaesthetic drug infusion model is explored using the fractional order (FO) proportional integral derivative (PID) controllers. The dynamic model is composed…

Systems and Control · Computer Science 2016-12-01 Saptarshi Das , Sourav Das , Koushik Maharatna

The Proportional-Integral-Derivative Controller is widely used in industries for process control applications. Fractional-order PID controllers are known to outperform their integer-order counterparts. In this paper, we propose a new…

Other Computer Science · Computer Science 2008-11-04 Mithun Chakraborty , Deepyaman Maiti , Amit Konar

In some of the complicated control problems we have to use the controllers that apply nonlocal operators to the error signal to generate the control. Currently, the most famous controller with nonlocal operators is the fractional-order PID…

Optimization and Control · Mathematics 2014-05-02 Farshad Merrikh-Bayat , Seyedeh-Nafiseh Mirebrahimi , Mohammad-Reza Khalili

Particle swarm optimization (PSO) is extensively used for real parameter optimization in diverse fields of study. This paper describes an application of PSO to the problem of designing a fractional-order proportional-integral-derivative…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Ayan Acharya , Mithun Chakraborty , Amit Konar , Ramadoss Janarthanan

In this paper, an adaptive fractional controller has been designed to control chaotic systems. In fact, this controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. The…

Chaotic Dynamics · Physics 2012-06-13 S. H. Hosseinnia , R. Ghaderi , A. Ranjbar N. , J. Sadati , S. Momani

Particle Swarm Optimization technique offers optimal or suboptimal solution to multidimensional rough objective functions. In this paper, this optimization technique is used for designing fractional order PID controllers that give better…

Other Computer Science · Computer Science 2008-10-22 Deepyaman Maiti , Sagnik Biswas , Amit Konar

Reset control is introduced to overcome limitations of linear control. A reset controller includes a linear controller which resets some of states to zero when their input is zero or certain non-zero values. This paper studies the…

Systems and Control · Computer Science 2013-03-22 S. Hassan HosseinNia , Inés Tejado , Blas M Vinagre

This paper addresses the consensus of a class of uncertain nonlinear fractional-order multi-agent systems (FOMAS). First a fractional non-fragile dynamic output feedback controller is put forward via the output measurements of neighboring…

Optimization and Control · Mathematics 2021-12-14 Elyar Zavary , Pouya Badri , Mahdi Sojoodi

Fractional-order dynamical systems are used to describe processes that exhibit temporal long-term memory and power-law dependence of trajectories. There has been evidence that complex neurophysiological signals like electroencephalogram…

Optimization and Control · Mathematics 2019-10-02 Orlando Romero , Sarthak Chatterjee , Sérgio Pequito

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time step sizes. Other semi-analytical solution methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu

This paper presents a learning-based control strategy for non-linear throttle valves with an asymmetric hysteresis, leading to a near-optimal controller without requiring any prior knowledge about the environment. We start with a carefully…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Paul Daoudi , Bojan Mavkov , Bogdan Robu , Christophe Prieur , Emmanuel Witrant , Merwan Barlier , Ludovic Dos Santos

In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance. Based on backstepping approach, an adaptive controller…

Systems and Control · Electrical Eng. & Systems 2020-05-15 Xinyao Li , Changyun Wen , Ying Zou

This paper presents an improved active disturbance rejection control scheme (IFO-ADRC) with an improved fractional-order extended state observer (IFO-ESO). The structural information of the system is utilized in IFO-ESO rather than buried…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Bolin Li , Lijun Zhu