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In this paper, first of all, we introduce the basic concepts of generating function in combinatorics and some combinatorial identities. In order to facilitate the understanding of m(greater than 1)-order time optimal control synthesis…

Optimization and Control · Mathematics 2018-06-25 Qianghui Xiao

In this work, an advanced motion controller is proposed for buck converter-fed DC motor systems. The design is based on an idea of active disturbance rejection control (ADRC) with its key component being a custom observer capable of…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Rafal Madonski , Krzysztof Łakomy , Momir Stankovic , Sally Shao , Jun Yang , Shihua Li

In this paper, we consider the problem of safe control synthesis of general controlled nonlinear systems in the presence of bounded additive disturbances. Towards this aim, we first construct a governing augmented state space model…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Vrushabh Zinage , Rohan Chandra , Efstathios Bakolas

This paper contributes to the design of a fractional order (FO) internal model controller (IMC) for a first order plus time delay (FOPTD) process model to satisfy a given set of desired robustness specifications in terms of gain margin (Am)…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Pushkar Prakash Arya , Sohom Chakrabarty

Model uncertainty presents significant challenges in vibration suppression of multi-inertia systems, as these systems often rely on inaccurate nominal mathematical models due to system identification errors or unmodeled dynamics. An…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Fan Zhang , Jinfeng Chen , Yu Hu , Zhiqiang Gao , Ge Lv , Qin Lin

When the disturbance input matrix is nonlinear, existing disturbance observer design methods rely on the solvability of a partial differential equation or the existence of an output function with a uniformly well-defined disturbance…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Yujie Wang , Xiangru Xu

This paper proposes a novel Disturbance Observer, termed the High-Performance Disturbance Observer, which achieves more accurate disturbance estimation compared to the conventional disturbance observer, thereby delivering significant…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Emre Sariyildiz

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

This paper investigates the reinforcement learning (RL) based disturbance rejection control for uncertain nonlinear systems having non-simple nominal models. An extended state observer (ESO) is first designed to estimate the system state…

Dynamical Systems · Mathematics 2020-11-25 Maopeng Ran , Juncheng Li , Lihua Xie

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

In this paper, fractional order Coullet system is studied. An active control technique is applied to control this chaotic system. This type of controller is also applied to synchronize chaotic fractional-order systems in master-slave…

Chaotic Dynamics · Physics 2012-06-13 M. Shahiri T. , A. Ranjbar N. , R. Ghaderi , S. H. Hosseinnia , S. Momani

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

In this paper, a novel adaptive smooth disturbance observer-based fast finite-time adaptive backstepping control scheme is presented for the attitude tracking of the 3-DOF helicopter system subject to compound disturbances. First, an…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Xidong Wang , Zhan Li , Xinghu Yu , Zhen He

This study presents a non-iterative tuning technique for a linear fractional-order (FO) controller, based on the integral of the time-weighted absolute error (ITAE) criterion. Minimizing the ITAE is a traditional approach for tuning FO…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Ansei Yonezawa , Heisei Yonezawa , Shuichi Yahagi , Itsuro Kajiwara , Shinya Kijimoto

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 proposes new practical design tools for the robust motion control systems based on disturbance observer (DOB). Although DOB has long been used in several motion control applications, it has insufficient analysis and design tools.…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Emre Sariyildiz , Kouhei Ohnishi

According to the well-known loop shaping method for the design of controllers, the performance of the controllers in terms of step response, steady-state disturbance rejection and noise attenuation and robustness can be improved by…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Nima Karbasizadeh , S. Hassan HosseinNia

This paper addresses the design of finite-dimensional feedback control laws for linear discrete-time fractional-order systems with additive state disturbance. A set of sufficient conditions are provided to guarantee convergence of the state…

Optimization and Control · Mathematics 2019-06-18 Andrea Alessandretti , Sergio Pequito , George J. Pappas , A. Pedro Aguiar

This paper presents a new HPDOb that significantly improves disturbance estimation accuracy and robustness in motion control systems, surpassing the capabilities of conventional DObs. The proposed observer is analysed and synthesised in the…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Emre Sariyildiz

This study presents a novel, continuous finite-time control strategy for a class of nonlinear systems subject to matched uncertainties with unknown bounds. We propose an Adaptive Disturbance Observer-based Full-order Integral-Terminal…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Jit Koley , Binoy Krishna Roy