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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

Motivation and gap: PID-family controllers remain a pragmatic choice for many robotic systems due to their simplicity and interpretability, but tuning stable, high-performing gains is time-consuming and typically non-transferable across…

Robotics · Computer Science 2026-01-13 JiaHao Wu , ShengWen Yu

We present a frequency domain based $H_\infty$-control strategy to solve boundary control problems for systems governed by parabolic or hyperbolic partial differential equation, where controllers are constrained to be physically…

Optimization and Control · Mathematics 2019-05-17 Pierre Apkarian , Dominikus Noll

Repetitive operations are widely conducted by automatic machines in industry. Periodic disturbances induced by the repetitive operations must be compensated to achieve precise functioning. In this paper, a periodic-disturbance observer…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Hisayoshi Muramatsu , Seiichiro Katsura

This paper will propose a novel technique for optimize hydropower plant in small scale based on load frequency control (LFC) which use self-tuning fuzzy Proportional- Derivative (PD) method for estimation and prediction of planning. Due to…

Systems and Control · Electrical Eng. & Systems 2021-06-24 Akbal Rain , Mert Emre Saritac

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

The comparative study of Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) controllers applied to level and flow control in coupled tank systems is presented in this research work. The coupled tank system, characterized…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Divyam R. Kakani , Dineshkumar Subendran , Shivam J. Singh

Bio-inspired algorithms like Genetic Algorithms and Fuzzy Inference Systems (FIS) are nowadays widely adopted as hybrid techniques in commercial and industrial environment. In this paper we present an interesting application of the fuzzy-GA…

Artificial Intelligence · Computer Science 2017-06-15 Enrico De Santis , Antonello Rizzi , Alireza Sadeghian

Bulk reduction of reactor power within a small finite time interval under abnormal conditions is referred to as step-back. In this paper, a 500MWe Canadian Deuterium Uranium (CANDU) type Pressurized Heavy Water Reactor (PHWR) is modeled…

Systems and Control · Computer Science 2012-02-28 Saptarshi Das , Shantanu Das , Amitava Gupta

Proportional-integral-derivative (PID) control underlies more than $97\%$ of automated industrial processes. Controlling these processes effectively with respect to some specified set of performance goals requires finding an optimal set of…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Zacharaya Shabka , Michael Enrico , Nick Parsons , Georgios Zervas

No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give…

Systems and Control · Computer Science 2014-07-25 S. Hassan HosseinNia , Ines Tejado , Blas M. Vinagre

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 deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions and properties of these systems are presented. The new ways…

Optimization and Control · Mathematics 2007-05-23 I. Petras , L. Dorcak , P. O'Leary , B. M. Vinagre , I. Podlubny

Fitness Dependent Optimizer (FDO) is a recent metaheuristic algorithm that mimics the reproduction behavior of the bee swarm in finding better hives. This algorithm is similar to Particle Swarm Optimization (PSO) but it works differently.…

Neural and Evolutionary Computing · Computer Science 2021-10-18 Hardi M. Mohammed , Tarik A. Rashid

High peak-to-average power ratio (PAPR) has long posed a challenge for multi-carrier systems, impacting amplifier efficiency and overall system performance. This paper introduces dynamic angle fractional Fourier division multiplexing…

Information Theory · Computer Science 2024-11-14 Yewen Cao , Yulin Shao , Rose Qingyang Hu

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown…

Chaotic Dynamics · Physics 2009-11-11 Chunguang Li

Reset control enhances the performance of high-precision mechatronics systems. This paper introduces a generalized reset feedback control structure that integrates a single reset-state reset controller, a shaping filter for tuning reset…

Systems and Control · Electrical Eng. & Systems 2025-01-20 Xinxin Zhang , S. Hassan HosseinNia

Fractional-order stochastic gradient descent (FOSGD) leverages fractional exponents to capture long-memory effects in optimization. However, its utility is often limited by the difficulty of tuning and stabilizing these exponents. We…

Machine Learning · Computer Science 2025-05-09 Mohammad Partohaghighi , Roummel Marcia , YangQuan Chen

This paper introduces a non-parametric estimation algorithm designed to effectively estimate the joint distribution of model parameters with application to population pharmacokinetics. Our research group has previously developed the…

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