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The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

系统与控制 · 电气工程与系统科学 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

Classical PID control is widely applied in an engineering system, with parameter regulation relying on a method like Trial - Error Tuning or the Ziegler - Nichols rule, mainly for a Single - Input Single - Output (SISO) system. However, the…

系统与控制 · 电气工程与系统科学 2025-04-22 Zimao Sheng , Hong'an Yang

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…

最优化与控制 · 数学 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

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…

系统与控制 · 电气工程与系统科学 2024-11-25 Xinyu Shi

Proportional-integral-derivative (PID) control, the most common control strategy in the industry, always suffers from health problems resulting from external disturbances, improper tuning, etc. Therefore, there have been many studies on…

系统与控制 · 电气工程与系统科学 2021-08-03 Wei Zhang , He Dong , Yunlang Xu , Xiaoping Li

Proportional-Integral-Differential (PID) control is widely used in industrial control systems. However, up to now there are at least two open problems related with PID control. One is to have a comprehensive understanding of its robustness…

系统与控制 · 电气工程与系统科学 2025-04-22 Bo Zhu , Wei Yu , Hugh H. T. Liu

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability of the classical proportional-integral-derivative(PID)…

系统与控制 · 电气工程与系统科学 2023-03-21 Cheng Zhao , Shuo Yuan

In chemical process applications, model predictive control effectively deals with input and state constraints during transient operations. However, industrial PID controllers directly manipulates the actuators, so they play the key role in…

系统与控制 · 计算机科学 2013-05-29 Minh Hoang-Tuan Nguyen , Kok Kiong Tan

This paper presents the design and robustness analysis of fractional and integer order PID controllers for the control of a non-linear industrial process in the presence of parametric uncertainness and external disturbances. The nonlinear…

系统与控制 · 计算机科学 2018-10-31 J. Viola , L. Angel

We study the control of networked systems with the goal of optimizing both transient and steady-state performances while providing stability guarantees. Linear proportional-integral (PI) controllers are almost always used in practice, but…

系统与控制 · 电气工程与系统科学 2023-06-01 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

Dissipativity is an input-output (IO) characterization of nonlinear systems that enables compositional robust control through Vidyasagar's Network Dissipativity Theorem (VDNT). However, determining the dissipativity of a system is an…

系统与控制 · 电气工程与系统科学 2025-12-15 Amy K. Strong , Leila Bridgeman

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

最优化与控制 · 数学 2020-05-05 Xiaojun Zhou

Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model-free and requires solely the Lipschitz boundedness of the…

最优化与控制 · 数学 2025-05-20 Michael Ruderman

By using dissipativity approach, we establish the stability condition for the feedback connection of a deterministic dynamical system $\Sigma$ and a stochastic memoryless map $\Psi$. After that, we extend the result to the class of large…

系统与控制 · 电气工程与系统科学 2020-05-08 Koji Tsumura , Binh Minh Nguyen , Hisaya Wakayama , Shinji Hara

Deep learning methods have demonstrated significant potential for addressing complex nonlinear control problems. For real-world safety-critical tasks, however, it is crucial to provide formal stability guarantees for the designed…

系统与控制 · 电气工程与系统科学 2025-06-10 Han Wang , Keyan Miao , Diego Madeira , Antonis Papachristodoulou

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

最优化与控制 · 数学 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

最优化与控制 · 数学 2025-12-03 Baoyou Qu , Cheng Zhao

This paper presents a systematic approach for designing robust linear proportional-integral (PI) servo-controllers that effectively manage control input and output constraints in flight control systems. The control design leverages the…

系统与控制 · 电气工程与系统科学 2026-03-09 Marcel Menner , Eugene Lavretsky

Passivity indices have been widely adopted to derive distributed stability certificates for power systems. Nevertheless, conventional passivity indices remain scalar-valued even for multi-input-multi-output (MIMO) systems, which can…

系统与控制 · 电气工程与系统科学 2026-05-07 Xi Ru , Cong Fu , Zhongze Li , Xiaoyu Peng , Feng Liu

Mobile robotic manipulators (MRMs), which integrate mobility and manipulation capabilities, present significant control challenges due to their nonlinear dynamics, underactuation, and coupling between the base and manipulator subsystems.…

机器人学 · 计算机科学 2025-11-21 Luis Luna , Isaac Chairez , Andrey Polyakov
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