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We investigate state feedback and observation for infinite-dimensional linear systems, including a variety of partial differential equations with boundary control and observation. We extend the modulating function approach to…

Optimization and Control · Mathematics 2024-12-09 Folke Friedrich , Johann Reger , Timo Reis

We prove an analytical limitation on the use of time-delayed feedback control for the stabilization of periodic orbits in autonomous systems. This limitation depends on the number of real Floquet multipliers larger than unity, and is…

Chaotic Dynamics · Physics 2012-10-17 Edward W. Hooton , Andreas Amann

The purpose of this paper is to illustrate, in an experimental facility consisting of a simple pendular device, the performance of a sliding mode adaptive position-feedback tracking controller of mechanical systems with friction reported in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Luis Cervantes-Pérez , Víctor Santibáñez , Jesús Sandoval , Romeo Ortega , Jose Guadalupe Romero

Particle Swarm Optimization technique offers optimal or suboptimal solution to multidimensional rough objective functions. In this paper, this optimization technique is used for designing fractional order PID controllers that give better…

Other Computer Science · Computer Science 2008-10-22 Deepyaman Maiti , Sagnik Biswas , Amit Konar

This paper deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of n coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are…

Systems and Control · Electrical Eng. & Systems 2020-08-28 Joachim Deutscher , Nicole Gehring

Feedback is a most important concept in control systems, its main purpose is to deal with internal and/or external uncertainties in dynamical systems, by using the on-line observed information. Thus, a fundamental problem in control theory…

Optimization and Control · Mathematics 2007-05-23 Lei Guo

We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

Optimization and Control · Mathematics 2025-02-18 Michael Ruderman

We give a concrete description of a controlled quantum stochastic dynamical model corresponding to a quantum system (a cavity mode) under going continual quadrature measurements, with a PID controller acting on the filtered estimate for the…

Quantum Physics · Physics 2017-01-25 John E. Gough

The problem of feedback equivalence for control systems is considered. An algebra of differential invariants and criteria for the feedback equivalence for regular control systems are found.

Differential Geometry · Mathematics 2008-12-09 Valentin Lychagin

In this paper, a framework for the combination of robust fractional order CRONE control with non-linear reset is given for both first and second generation CRONE control. General design rules are derived and presented for these CRONE reset…

Systems and Control · Computer Science 2019-10-02 Linda Chen , Niranjan Saikumar , S. Hassan HosseinNia

We generalize notions of passivity and dissipativity to fractional order systems. Similar to integer order systems, we show that the proposed definitions generate analogous stability and compositionality properties for fractional order…

Dynamical Systems · Mathematics 2017-06-26 Mohsen Rakhshan , Vijay Gupta , Bill Goodwine

The stability ofthe proportional--integral--derivative (PID)controlof temperature in the spark plasma sintering (SPS) process is investigated.ThePID regulationsof this process are tested fordifferent SPS toolingdimensions, physical…

Applied Physics · Physics 2020-11-25 Charles Manière , Geuntak Lee , Eugene A. Olevsky

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition of the state space and some change of variables related to…

Optimization and Control · Mathematics 2022-04-06 Anthony Hastir , Joseph J. Winkin , Denis Dochain

Partial Information Decomposition (PID) is a principled and flexible method to unveil complex high-order interactions in multi-unit network systems. Though being defined exclusively for random variables, PID is ubiquitously applied to…

Real-time hybrid testing is a method in which a substructure of the system is realised experimentally and the rest numerically. The two parts interact in real time to emulate the dynamics of the full system. Such experiments however are…

Dynamical Systems · Mathematics 2024-06-04 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

In this paper, a biologically-inspired adaptive intelligent secondary controller is developed for microgrids to tackle system dynamics uncertainties, faults, and/or disturbances. The developed adaptive biologically-inspired controller…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Mohammad Jafari , Vahid Sarfi , Amir Ghasemkhani , Hanif Livani , Lei Yang , Hao Xu

A popular approach to designing finite-dimensional boundary controllers for partial differential equations (PDEs) is to decompose the PDE into independent modes and focus on the dominant ones while neglecting highly damped residual modes.…

Dynamical Systems · Mathematics 2025-07-18 Anton Selivanov , Emilia 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

We consider an 1D partial integro-differential equation (PIDE) comprising of an 1D parabolic partial differential equation (PDE) and a nonlocal integral term. The control input is applied on one of the boundaries of the PIDE. Partitioning…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Soham Chatterjee , Vivek Natarajan

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations. Both the control input and the measured output are located on the…

Analysis of PDEs · Mathematics 2019-04-30 Vincent Andrieu , Ngoc-Tu Trinh , Cheng-Zhong Xu