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Data-enabled predictive control (DeePC) for linear systems utilizes data matrices of recorded trajectories to directly predict new system trajectories, which is very appealing for real-life applications. In this paper we leverage the…

Optimization and Control · Mathematics 2024-12-20 Mircea Lazar

We present a methodology for designing a dynamic controller with delayed output feedback for achieving non-collocated vibration suppression with a focus on the multi-frequency case. To synthesize the delay-based controller, we first remodel…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Adrian Saldanha , Adam Peichl , Wim Michiels , Tomáš Vyhlídal

The introduction of unexpected system disturbances and new system dynamics does not allow guaranteed continuous system stability. In this research we present a novel approach for detecting early failure indicators of non-linear highly…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Amr Mahmoud , Youmna Ismaeil , Mohamed Zohdy

Stochastic control problems with delay are challenging due to the path-dependent feature of the system and thus its intrinsic high dimensions. In this paper, we propose and systematically study deep neural networks-based algorithms to solve…

Optimization and Control · Mathematics 2021-06-18 Jiequn Han , Ruimeng Hu

This paper proposes a neuro-adaptive distributive cooperative tracking control with prescribed performance function (PPF) for highly nonlinear multi-agent systems. PPF allows error tracking from a predefined large set to be trapped into a…

Optimization and Control · Mathematics 2018-11-20 Sami El-Ferik , Hashim. A. Hashim , Frank L. Lewis

Deep Neural Networks (DNNs) are increasingly used in control applications due to their powerful function approximation capabilities. However, many existing formulations focus primarily on tracking error convergence, often neglecting the…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Rebecca G. Hart , Omkar Sudhir Patil , Zachary I. Bell , Warren E. Dixon

This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

Optimization and Control · Mathematics 2012-12-05 Iasson Karafyllis , Miroslav Krstic

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. We derive an upper bound on the norm of the error of network states from its average states, which it achieves in finite time.…

Systems and Control · Computer Science 2016-07-25 Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi , Tara Javidi

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

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 this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

Optimization and Control · Mathematics 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

This article analyzes the high-gain prediction approach for nonlinear input-delay systems. The problem is discussed in the light of weighted homogeneity and input-to-state stability. The canonical form for uniformly observable nonlinear…

Optimization and Control · Mathematics 2023-06-27 Bryan Rojas-Ricca , Fernando Castaños , Sabine Mondié

This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Kexue Zhang , Bahman Gharesifard , Elena Braverman

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

In the present work, an embedded PI controller is designed for speed regulation of DC servomotor over a wireless network. The embedded controller integrates PI controller with a proposed time-delay estimator and an adaptive digital Smith…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Santosh Mohan Rajkumar , Sayan Chakraborty , Rajeeb Dey , Dipankar Deb

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

Optimization and Control · Mathematics 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis