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This work introduces a controller synthesis method via system level synthesis for nonlinear systems characterized by polynomial dynamics. The resulting framework yields finite impulse response, time-invariant, closed-loop transfer functions…

Optimization and Control · Mathematics 2022-09-26 Lauren Conger , Jing Shuang Li , Eric Mazumdar , Steven L. Brunton

We consider input-output systems in descriptor form and ask when such systems can be rendered SPR (strictly positive real) via output feedback. Time and frequency domain conditions are given to determine when and how this is possible. In…

Dynamical Systems · Mathematics 2017-04-07 Martin Corless , Ezra Zeheb , Robert Shorten

We study in this paper the problem of iterative feedback gains tuning for a class of nonlinear systems. We consider Input-Output linearizable nonlinear systems with additive uncertainties. We first design a nominal Input-Output…

Systems and Control · Computer Science 2016-11-15 Mouhacine Benosman

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay…

Optimization and Control · Mathematics 2012-09-11 Nikolaos Bekiaris-Liberis , Miroslav Krstic

The identification of a linear system model from data has wide applications in control theory. The existing work that provides finite sample guarantees for linear system identification typically uses data from a single long system…

Machine Learning · Statistics 2025-05-09 Lei Xin , Baike She , Qi Dou , George Chiu , Shreyas Sundaram

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

This paper discusses the systematic design of an adaptive feedback linearizing neurocontroller for a high-order model of the synchronous machine/infinite bus power system. The power system is first modelled as an input-output nonlinear…

Optimization and Control · Mathematics 2007-05-23 Kingsley Fregene , Diane Kennedy

This work proposes a two-layered control scheme for constrained nonlinear systems represented by a class of recurrent neural networks and affected by additive disturbances. In particular, a base controller ensures global or regional…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Danilo Saccani , Marcello Farina , Giancarlo Ferrari-Trecate

We provide a solution to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. The solution is global, employs the predictor approach…

Optimization and Control · Mathematics 2013-08-15 Iasson Karafyllis , Miroslav Krstic

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

Steady state multiplicity can occur in nonlinear systems, and this presents challenges to feedback control. Input multiplicity arises when the same steady state output values can be reached with system inputs at different values. Dynamic…

Optimization and Control · Mathematics 2022-10-06 Robert J. Lovelett , Yorgos M. Psarellis , Ioannis G. Kevrekidis , Manfred Morari

In this paper, stability analysis of time delay systems is considered based on decomposition of the systems to subsystems. The decomposition process needs matrices of these systems to be simultaneously block triangularize. We show that a…

Optimization and Control · Mathematics 2016-11-29 Mohammad Mousa-Abadian , Sayed Hodjatollah Momeni-Masuleh , Mohammad Haeri

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Demelash Abiye Deguale

Forward-flatness is a generalization of static feedback linearizability and a special case of a more general flatness concept for discrete-time systems. Recently, it has been shown that this practically quite relevant property can be…

Optimization and Control · Mathematics 2025-08-05 Bernd Kolar , Johannes Schrotshamer , Markus Schöberl

This paper provides an alternative approach referred to as pseudo-predictor feedback (PPF) for stabilization of linear systems with multiple input delays. Differently from the traditional predictor feedback which is from the model reduction…

Optimization and Control · Mathematics 2016-07-11 Bin Zhou , Shen Cong

Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant…

Optimization and Control · Mathematics 2020-08-24 John W. Simpson-Porco

We consider the modeling, stability analysis and controller design problems for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop…

Optimization and Control · Mathematics 2014-01-09 R. M. Jungers , A. D'Innocenzo , M. D. Di Benedetto

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya
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