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This paper proposes a robust nonlinear observer synthesis method for a population of systems modelled using the Koopman operator. The Koopman operator allows nonlinear systems to be rewritten as infinite-dimensional linear systems. A…

系统与控制 · 电气工程与系统科学 2024-10-03 Steven Dahdah , James Richard Forbes

Various methods are nowadays available to design observers for broad classes of systems. Nevertheless, the question of the tuning of the observer to achieve satisfactory estimation performance remains largely open. This paper presents a…

系统与控制 · 电气工程与系统科学 2022-09-22 E. Petri , R. Postoyan , D. Astolfi , D. Nešić , V. Andrieu

This paper presents an adaptive observer design for semilinear hyperbolic rolling contact ODE-PDE systems with uncertain friction characteristics parameterized by a matrix of unknown coefficients appearing in the nonlinear (and possibly…

系统与控制 · 电气工程与系统科学 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

In this chapter, we introduce two interval observer designs for discrete-time (DT) and continuous-time (CT) nonlinear systems with bounded Jacobians that are affected by bounded uncertainties. Our proposed methods utilize the concepts of…

系统与控制 · 电气工程与系统科学 2024-10-15 Mohammad Khajenejad , Tarun Pati , Sze Zheng Yong

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, whose gain is determined only by the unstable modes of the…

系统与控制 · 电气工程与系统科学 2022-09-20 Markus Tranninger , Richard Seeber , Martin Steinberger , Martin Horn , Christian Pötzsche

This paper addresses the problem of finite horizon constrained robust optimal control for nonlinear systems subject to norm-bounded disturbances. To this end, the underlying uncertain nonlinear system is decomposed based on a first-order…

最优化与控制 · 数学 2025-08-01 Antoine P. Leeman , Johannes Köhler , Andrea Zanelli , Samir Bennani , Melanie N. Zeilinger

The need of fast distributed solvers for optimization problems in networked systems has motivated the recent development of the Fast-Lipschitz optimization framework. In such an optimization, problems satisfying certain qualifying…

最优化与控制 · 数学 2016-11-17 Martin Jakobsson , Carlo Fischione , Pradeep Chathuranga Weeraddana

The efficient optimization method for locally Lipschitz continuous multiobjective optimization problems from [1] is extended from finite-dimensional problems to general Hilbert spaces. The method iteratively computes Pareto critical points,…

最优化与控制 · 数学 2024-02-12 Konstantin Sonntag , Bennet Gebken , Georg Müller , Sebastian Peitz , Stefan Volkwein

This paper addresses the end-to-end sample complexity bound for learning in closed loop the state estimator-based robust H2 controller for an unknown (possibly unstable) Linear Time Invariant (LTI) system, when given a fixed state-feedback…

系统与控制 · 电气工程与系统科学 2022-12-23 Yifei Zhang , Sourav Kumar Ukil , Andrei Sperila , Serban Sabau

This paper addresses robust waveform design for multiple-input-multiple-output (MIMO) radar detection. A probabilistic model is proposed to describe the target uncertainty. Considering that waveform design based on maximizing the…

信号处理 · 电气工程与系统科学 2022-04-12 Xuyang Wang , Bo Tang , Ming Zhang

We consider a stochastic version of the proximal point algorithm for optimization problems posed on a Hilbert space. A typical application of this is supervised learning. While the method is not new, it has not been extensively analyzed in…

最优化与控制 · 数学 2021-09-28 Monika Eisenmann , Tony Stillfjord , Måns Williamson

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

最优化与控制 · 数学 2022-08-18 John W. Simpson-Porco

We study the behavior of deterministic methods for solving inverse problems in imaging. These methods are commonly designed to achieve two goals: (1) attaining high perceptual quality, and (2) generating reconstructions that are consistent…

图像与视频处理 · 电气工程与系统科学 2024-06-11 Guy Ohayon , Tomer Michaeli , Michael Elad

This paper presents a data-driven approach for designing state observers for continuous-time nonlinear systems, where an extended dynamic mode decomposition (EDMD) procedure is used to identify an approximate linear lifted model. Since such…

系统与控制 · 电气工程与系统科学 2026-04-03 Xiuzhen Ye , Wentao Tang

The goal of this paper is to assess the robustness of an uncertain linear time-varying (LTV) system on a finite time horizon. The uncertain system is modeled as a connection of a known LTV system and a perturbation. The input/output…

系统与控制 · 计算机科学 2025-08-05 Peter Seiler , Robert Moore , Chris Meissen , Murat Arcak , Andrew Packard

This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextremal Lipschitz functions. Multiextremal constraints…

最优化与控制 · 数学 2011-07-27 Yaroslav D. Sergeyev

We present a convex optimization to reduce the impact of sensor falsification attacks in linear time invariant systems controlled by observer-based feedback. We accomplish this by finding optimal observer and controller gain matrices that…

系统与控制 · 电气工程与系统科学 2020-06-30 Navid Hashemi , Justin Ruths

This paper focuses on the resolution of infinite-dimensional Toeplitz Block LMIs, which are frequently encountered in the context of stability analysis and control design problems formulated in the harmonic framework. We propose a…

系统与控制 · 电气工程与系统科学 2023-05-10 Flora Vernerey , Pierre Riedinger , Jamal Daafouz

In this paper we present an inexact zeroth-order method suitable for the solution nonsmooth and nonconvex stochastic composite optimization problems, in which the objective is split into a real-valued Lipschitz continuous stochastic…

最优化与控制 · 数学 2025-12-11 Spyridon Pougkakiotis , Dionysis Kalogerias

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

最优化与控制 · 数学 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine