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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 this paper, a practical fractional-order variable-gain super-twisting algorithm (PFVSTA) is proposed to improve the tracking performance of wafer stages for semiconductor manufacturing. Based on the sliding mode control (SMC), the…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Zhian Kuang , Liting Sun , Huijun Gao , Masayoshi Tomizuka

Unconventional superconductivity or superfluidity are among the most exciting and fascinating quantum states in condensed matter physics. Usually these states are characterized by non-trivial spatial symmetry of the pairing order parameter,…

Quantum Gases · Physics 2018-04-11 Maksims Arzamasovs , Bo Liu

This paper proposes a distributed strategy regulated on a subset of individual buses in a power network described by the swing equations to achieve transient frequency control while preserving asymptotic stability. Transient frequency…

Systems and Control · Computer Science 2018-09-18 Yifu Zhang , Jorge Cortes

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

Chaotic Dynamics · Physics 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

Integer-order calculus often falls short in capturing the long-range dependencies and memory effects found in many real-world processes. Fractional calculus addresses these gaps via fractional-order integrals and derivatives, but…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Xiaole Zhang , Peiyu Zhang , Xiongye Xiao , Shixuan Li , Vasileios Tzoumas , Vijay Gupta , Paul Bogdan

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

Fractional derivative and delay are important tools in modeling memory properties in the natural system. This work deals with the stability analysis of a fractional order delay differential equation \begin{equation*} D^\alpha x(t)=\delta…

Dynamical Systems · Mathematics 2022-08-29 Sachin Bhalekar , Deepa Gupta

A grid-feeding converter system is added to a novel power system transient simulation scheme based on frequency response optimized integrators considering second order derivative. The converter system and its implementation in the…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Sheng Lei , Alexander Flueck

A Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9]. Here, a sensitivity analysis of that model is done, showing the…

Optimization and Control · Mathematics 2019-08-12 Silverio Rosa , Delfim F. M. Torres

Fully-partitioned fixed-priority scheduling (FP-FPS) multiprocessor systems are widely found in real-time applications, where spin-based protocols are often deployed to manage the mutually exclusive access of shared resources.…

Operating Systems · Computer Science 2024-08-28 Shuai Zhao , Hanzhi Xu , Nan Chen , Ruoxian Su , Wanli Chang

The increasing integration of renewable energy resources into power grids has led to time-varying system inertia and consequent degradation in frequency dynamics. A promising solution to alleviate performance degradation is using power…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Jie Feng , Wenqi Cui , Jorge Cortés , Yuanyuan Shi

This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to establish the global stability of steady states for…

Dynamical Systems · Mathematics 2022-04-21 Adnane Boukhouima , Houssine Zine , El Mehdi Lotfi , Marouane Mahrouf , Delfim F. M. Torres , Noura Yousfi

In this article a model predictive control (MPC) based frequency control scheme for energy storage units was derived, focusing on the incorporation of stability constraints based on Lyapunov theory and the concept of passivity. The proposed…

Systems and Control · Computer Science 2014-05-28 Christoph Trabert , Andreas Ulbig , Göran Andersson

A key factor that generates significant interest in reset control systems, especially within industrial contexts, is their potential to be designed using a frequency-domain loop-shaping procedure. On the other hand, formulating and…

Systems and Control · Electrical Eng. & Systems 2025-02-14 S. Ali Hosseini , S. Hassan HosseinNia

The integration of distributed energy resources (DERs) into sub-transmission systems has enabled new opportunities for flexibility provision in ancillary services such as frequency and voltage support, as well as congestion management. This…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Florian Klein-Helmkamp , Tina Möllemann , Irina Zettl , Andreas Ulbig

In this paper we propose a PI passivity-based controller, applicable to a large class of switched power converters, that ensures global state regulation to a desired equilibrium point. A solution to this problem was reported in…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Wei He

In this article, a novel Finite Time Stability (FTS) analysis of Fractional-Order Time Delay Systems (FOTDSs) is proposed. By using the fixed point approach, sufficient conditions for the robust FTS of FOTDSs have been established. Two…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Abdellatif Ben Makhlouf

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

Optimization and Control · Mathematics 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai