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For a wide class of second order nonlinear non-autonomous models, we illustrate that combining proportional state control with the feedback that is proportional to the derivative of the chaotic signal, allows to stabilize unstable motions…

Dynamical Systems · Mathematics 2016-06-10 Leonid Berezansky , Elena Braverman , Lev Idels

Filtered Smith predictors are well established for controlling linear plants with constant time delays. Apart from this classical application scenario, they are also employed within networked control loops, where the measurements are sent…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Martin Steinberger , Martin Horn

In this paper, a novel adaptive tuning method of PID neural network (PIDNN) controller for nonlinear process is proposed. The method utilizes an improved gradient descent method to adjust PIDNN parameters where the margin stability will be…

Systems and Control · Computer Science 2015-12-24 Ali Zribi , Mohamed Chtourou , Mohamed Djemel

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

Dynamical Systems · Mathematics 2007-05-23 Matthew M. Peet

In stochastic multistable systems driven by the gradient of a potential, transitions between equilibria is possible because of noise. We study the ability of linear delay feedback control to mitigate these transitions, ensuring that the…

Optimization and Control · Mathematics 2020-02-06 Mohammad Farazmand

The paper presents a Stateflow based network test-bed to validate real-time optimal control algorithms. Genetic Algorithm (GA) based time domain performance index minimization is attempted for tuning of PI controller to handle a balanced…

Systems and Control · Computer Science 2012-02-28 Ayan Mukherjee , Anindya Pakhira , Saptarshi Das , Indranil Pan , Amitava Gupta

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

Adaptation and Self-Organizing Systems · Physics 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

Delayed feedback control is an easy realizable control method which generates control force by comparing the current and the delayed version of the system states. In this paper, a new form of the delayed feedback structure is introduced.…

Systems and Control · Computer Science 2019-02-08 Zahed Dastan , Mahsan Tavakoli-Kakhki

This paper proposes a stabilizing state-feedback control law for vector-valued state systems with a scalar control input, governed by a general class of integral difference equations that incorporate both pointwise and distributed input…

Optimization and Control · Mathematics 2026-05-27 Adam Braun , Jean Auriol , Lucas Brivadis

We generalize a known analytical method for determining the stability of periodic orbits controlled by time-delay feedback methods when latencies associated with the generation and injection of the feedback signal cannot be ignored. We…

Chaotic Dynamics · Physics 2009-11-10 Philipp Hövel , Joshua E. S. Socolar

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

Proportional - Integral - Derivative (PID) Controller is a primary component in industrial control systems nowadays. Its gain parameters have a powerful effect on its transient response criteria such as integral squared error (ISE),…

Systems and Control · Computer Science 2017-10-11 Mohamed Issa , Abou Ella Hassanien , Ahmed Abd Elbaset

The problem of finding the set of all multi-model robust PID and three-term stabilizers for discrete-time systems is solved in this paper. The method uses the fact that decoupling of parameter space at singular frequencies is invariant…

Systems and Control · Computer Science 2013-03-05 Naim Bajcinca

In this paper, the feasibility of recently developed higher order delayed sliding mode controllers is addressed. With this aim the robustness against the measurement noise and mismatched perturbations for the systems governed by such…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Moussa Labbadi , Denis Efimov , Leonid Fridman

In this work, we establish a convenient similarity between an adaptive backstepping control law and a standard proportional-integral-derivative (PID) controller for a class of second-order systems. The extracted similarity provides a deeper…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Ahmad Kourani , Naseem Daher

A comprehensive theory for robust PID control in continuous-time and discrete-time domain is reviewed in this paper. For a given finite set of linear time invariant plants, algorithms for fast computation of robustly stabilizing regions in…

Systems and Control · Computer Science 2013-03-05 Naim Bajcinca

A path tracking control system is chosen as the proof-of-concept demonstration application in this paper. A disturbance observer (DOB) is embedded within the steering to path error automated driving loop to handle uncertain parameters such…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Haoan Wang , Levent Guvenc

Since most industrial control applications use PID controllers, PID tuning and anti-windup measures are significant problems. This paper investigates tuning the feedback gains of a PID controller via back-calculation and automatic…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Athindran Ramesh Kumar , Peter J. Ramadge

This paper analyses the robust stability and performance of the Disturbance Observer- (DOb-) based digital motion control systems in discrete-time domain. It is shown that the phase margin and the robustness of the digital motion controller…

Systems and Control · Electrical Eng. & Systems 2020-10-19 Emre Sariyildiz , Satoshi Hangai , Tarik Uzunovic , Takahiro Nozaki , Kouhei Ohnishi

This study proposes a delay-compensated feedback controller based on proximal policy optimization (PPO) reinforcement learning to stabilize traffic flow in the congested regime by manipulating the time-gap of adaptive cruise…

Artificial Intelligence · Computer Science 2023-01-18 Shurong Mo , Nailong Wu , Jie Qi , Anqi Pan , Zhiguang Feng , Huaicheng Yan , Yueying Wang