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In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

最优化与控制 · 数学 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

系统与控制 · 电气工程与系统科学 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

This paper addresses the topic of global output feedback stabilization of semilinear reaction-diffusion PDEs. The semilinearity is assumed to be confined into a sector condition. We consider two different types of actuation configurations,…

最优化与控制 · 数学 2021-11-25 Hugo Lhachemi , Christophe Prieur

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

系统与控制 · 电气工程与系统科学 2021-01-07 Lei Wang , Christopher M. Kellett

A spherical robot consists of an externally spherical rigid body rolling on a two-dimensional surface, actuated by an auxiliary mechanism. For a class of actuation mechanisms, we derive a controller for the geometric center of the sphere to…

最优化与控制 · 数学 2020-04-14 T. W. U. Madhushani , D. H. S. Maithripala , J. V. Wijayakulasooriya , J. M. Berg

This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. First, a novel nonlinear observer is designed, and the error…

最优化与控制 · 数学 2026-01-21 Kai Liu , Hua-Cheng Zhou , Zhong-Jie Han , Xiangyang Peng

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

偏微分方程分析 · 数学 2019-05-30 Björn Augner

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

最优化与控制 · 数学 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

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…

最优化与控制 · 数学 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

系统与控制 · 电气工程与系统科学 2021-03-02 Lei Wang , Christopher M. Kellett

For nonlinear analytic control systems, we introduce a new paradigm for dynamic output feedback stabilization. We propose to periodically sample the usual observer based control law, and to reshape it so that it coincides with a ''control…

最优化与控制 · 数学 2024-01-17 Vincent Andrieu , Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This work establishes the first rigorous stability guarantees for approximate predictors in delay-adaptive control of nonlinear systems, addressing a key challenge in practical implementations where exact predictors are unavailable. We…

系统与控制 · 电气工程与系统科学 2025-10-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

In this paper, we design an output-feedback controller to stabilize n +m hetero-directional transport partial differential equations (PDEs) coupled on both domain boundaries to ordinary differential equations (ODEs). This class of systems…

偏微分方程分析 · 数学 2024-06-17 Jean Auriol , Federico Bribiesca Argomedo

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…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

The task of inducing, via continuous static state-feedback control, an asymptotically stable heteroclinic orbit in a nonlinear control system is considered in this paper. The main motivation comes from the problem of ensuring convergence to…

系统与控制 · 电气工程与系统科学 2023-02-16 Christian Fredrik Sætre , Anton S. Shiriaev

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

最优化与控制 · 数学 2007-05-23 Manfredi Maggiore , Kevin Passino

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

最优化与控制 · 数学 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

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…

偏微分方程分析 · 数学 2019-04-30 Vincent Andrieu , Ngoc-Tu Trinh , Cheng-Zhong Xu

In \cite{LPP:2025}, it was shown that, in arbitrary dimension, the spatial semi-discretization of a controlled stochastic parabolic operator is generically not null-controllable. Nevertheless, $\phi$-null controllability results remain…

最优化与控制 · 数学 2026-04-08 Rodrigo Lecaros , Ariel A. Pérez , Manuel F. Prado

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

系统与控制 · 电气工程与系统科学 2022-02-04 Asifa Yousaf