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A multi-variable PI (proportional integrating) controller is proved to be optimal for an important class of control problems where performance is specified in terms of frequency weighted H-infinity norms. The problem class includes…

Optimization and Control · Mathematics 2016-12-26 Anders Rantzer , Carolina Lidstrom , Richard Pates

A Fractional adaptive PID (FPID) controller for a robot manipulator will be proposed. The PID parameters have been optimized by Genetic algorithm. The proposed controller is found robust by means of simulation in a tracking job. The…

Adaptation and Self-Organizing Systems · Physics 2012-06-12 H. Delavari , R. Ghaderi , N. A. Ranjbar , S. H. HosseinNia , S. Momani

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

Multi-wing chaotic attractors are highly complex nonlinear dynamical systems with higher number of index-2 equilibrium points. Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series…

Chaotic Dynamics · Physics 2016-11-30 Saptarshi Das , Anish Acharya , Indranil Pan

To overcome the oscillation problem in the classical momentum-based optimizer, recent work associates it with the proportional-integral (PI) controller, and artificially adds D term producing a PID controller. It suppresses oscillation with…

Machine Learning · Computer Science 2019-01-28 Dan Wang , Mengqi Ji , Yong Wang , Haoqian Wang , Lu Fang

Interval type-II Fuzzy Inference System (FIS) assumes a crucial role in determining the coefficients of the PID controller, thereby augmenting the controller's flexibility. Controlling chaotic systems presents inherent challenges and…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Farnaz Rezay Morsagh , Mehdi Siahi , Soudabeh Soleymani

One of the most important surgical factors is Depth of Anesthesia (DOA) control in patients. The main problem is to overcome the uncertainty and nonlinearity of the system, due to different physiological parameters of the patient's body and…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Amin Behboudifar , Chen Jing

Nonlinear state space modeling of a nuclear reactor has been done for the purpose of controlling its global power in load following mode. The nonlinear state space model has been linearized at different percentage of reactor powers and a…

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

Fractional order (FO) filters have been investigated in this paper, with band-pass (BP) and band-stop (BS) characteristics, which can not be achieved with conventional integer order filters with orders lesser then two. The quality factors…

Systems and Control · Computer Science 2013-01-03 Anindya Pakhira , Saptarshi Das , Anish Acharya , Indranil Pan , Suman Saha

The aim of this research is to design a PID Controller using particle swarm optimization (PSO) algorithm for multiple-input multiple output (MIMO) Takagi-Sugeno fuzzy model. The conventional gain tuning of PID controller (such as…

Systems and Control · Computer Science 2013-06-27 Adel Taeib , Ali Ltaeif , Abdelkader Chaari

To address the variability of renewable generation, initiatives have been launched globally to provide faster and more effective frequency responses. In the UK, the National Energy System Operator (NESO) has introduced a suite of three new…

Systems and Control · Electrical Eng. & Systems 2025-09-27 Yiqiao Xu , Quan Wan , Alessandra Parisio

Distributed-order fractional non-local operators have been introduced and studied by Caputo at the end of the 20th century. They generalize fractional order derivatives/integrals in the sense that such operators are defined by a weighted…

Optimization and Control · Mathematics 2020-10-27 Faical Ndairou , Delfim F. M. Torres

Accurate parameter identification in photovoltaic (PV) models is crucial for performance evaluation but remains challenging due to their nonlinear, multimodal, and high-dimensional nature. Although the Dung Beetle Optimization (DBO)…

Neural and Evolutionary Computing · Computer Science 2025-08-12 Yiwei Li , Zhihua Allen-Zhao , Yuncheng Xu , Sanyang Liu

Phase shaping using fractional order (FO) phase shapers has been proposed by many contemporary researchers as a means of producing systems with iso-damped closed loop response due to a stepped variation in input. Such systems, with the…

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

The system comprises of three interconnected power system networks based on thermal, wind and hydro power generation. The load variation in any one of the network results in frequency deviation in all the connected systems.The PI…

Systems and Control · Computer Science 2017-01-30 Naresh Kumari , Nitin Malik , A. N. Jha , Gaddam Mallesham

This paper is devoted to the problem of synchronization between fractional-order chaotic systems with Gaussian fluctuation by the method of fractional-order sliding mode control. A fractional integral (FI) sliding surface is proposed for…

Chaotic Dynamics · Physics 2013-09-05 Yong Xu , Hua Wang

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

Optimization and Control · Mathematics 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

This paper proposes an original solution to input saturation and dead zone of fractional order system. To overcome these nonsmooth nonlinearities, the control input is decomposed into two independent parts by introducing an intermediate…

Optimization and Control · Mathematics 2024-12-20 Dian Sheng , Yiheng Wei , Songsong Cheng , Yong Wang

This paper analyzes the motion of solutions to non-homogeneous linear differential equations. It further clarifies that a proportional-integral-derivative (PID) controller essentially comprises two parts: a homogeneous controller and a…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Xinyu Shi

A Proportional- Integral- Derivative (PID) controller is required to bring a system back to the stable operating region as soon as possible following a disturbance or discrepancy. For successful operation of the PID controller, it is…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Md. Rayid Hasan Mojumder , Naruttam Kumar Roy