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This paper provides a constructive passivity-based control approach to solve the set-point regulation problem for input-affine continuous nonlinear systems while considering saturation in the inputs. As customarily in passivity-based…

系统与控制 · 电气工程与系统科学 2021-09-23 Pablo Borja , Carmen Chan-Zheng , Jacquelien M. A. Scherpen

An in-domain finite dimensional controller for a class of distributed parameter systems on a one-dimensional spatial domain formulated under the port-Hamiltonian framework is presented. Based on [25] where positive feedback and a late…

最优化与控制 · 数学 2023-02-06 Ning Liu , Yongxin Wu , Yann Le Gorrec , Laurent Lefevre , Hector Ramirez

In the recent years, passivity theory has gained renewed attention because of its advantages and practicality in modeling of multi-domain systems and constructive control techniques. Unlike Lyapunov theory, passivity theory takes a…

系统与控制 · 计算机科学 2018-05-03 Krishna Chaitanya Kosaraju

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

系统与控制 · 电气工程与系统科学 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constraints. In particular, we show under a detectability-like…

最优化与控制 · 数学 2026-03-17 Till Preuster , Hannes Gernandt , Manuel Schaller

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

偏微分方程分析 · 数学 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

We consider funnel control for linear infinite-dimensional systems that are impedance passive, meaning that they satisfy an energy balance in which the stored energy equals the squared norm of the state and the supplied power is the inner…

最优化与控制 · 数学 2025-10-02 Thavamani Govindaraj , Anthony Hastir , Lassi Paunonen , Timo Reis

A stabilizer based on the forwarding technique is proposed for semilinear infinite-dimensional systems in cascade form. Sufficient conditions for local exponentially stability and global asymptotic stability of the closed-loop are derived.…

最优化与控制 · 数学 2023-10-10 Nicolas Vanspranghe , Lucas Brivadis , Lassi Paunonen

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

最优化与控制 · 数学 2020-12-29 Hugo Lhachemi , Christophe Prieur

This paper deals with a class of Resistive-Inductive-Capacitive (RLC) circuits and switched RLC (s-RLC) circuits modeled in Brayton Moser framework. For this class of systems, new passivity properties using a Krasovskii's type Lyapunov…

In this paper we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers, we show that H-infinity controllers for such systems can be computed using…

系统与控制 · 电气工程与系统科学 2020-03-03 Suat Gumussoy , Hitay Ozbay

This paper studies the feedback stabilization of abstract Cauchy problems with unbounded output operators by finite-dimensional controllers. Both necessary conditions and sufficient conditions for feedback stabilizability are presented. The…

最优化与控制 · 数学 2023-09-06 Tian Xia , Giacomo Casadei , Francesco Ferrante , Luca Scardovi

This manuscript addresses the analysis and design of feedback laws for the stabilization of bilinear control systems in infinite-dimensional spaces. It first examines weak, strong, and polynomial stabilization within a Hilbert space…

最优化与控制 · 数学 2026-04-15 Mohamed Ouzahra

This paper deals with the finite-time stabilization of a class of nonlinear infinite-dimensional systems. First, we consider a bounded matched perturbation in its linear form. It is shown that by using a set-valued function, both the…

系统与控制 · 电气工程与系统科学 2025-09-03 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain with full boundary control and without internal damping are studied. This class of systems includes models of beams and waves as well as the transport…

最优化与控制 · 数学 2019-05-17 Birgit Jacob , Julia T. Kaiser

In this paper, we present passivity based convergence analysis of continuous time primal-dual gradient method for convex optimization problems. We first show that a convex optimization problem with only affine equality constraints admit a…

最优化与控制 · 数学 2017-08-15 K. C. Kosaraju , V. Chinde , R. Pasumarthy , A. Kelkar , N. M. Singh

In this paper we introduce a new method to design control laws for non-linear underactuated systems. Our method produces an infinite dimensional family of control laws, whereas most control techniques only produce a finite dimensional…

最优化与控制 · 数学 2007-05-23 Dave Auckly , Lev Kapitanski , Warren White

Linear systems of neutral type are considered using the infinite dimensional approach. The main problems are asymptotic, non-exponential stability, exact controllability and regular asymptotic stabilizability. The main tools are the moment…

最优化与控制 · 数学 2009-10-28 Rabah Rabah , Grigory M. Sklyar

In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spatial domain and second-order Hamiltonian. The resulting…

最优化与控制 · 数学 2024-03-26 Tobias Malzer , Lukas Ecker , Markus Schöberl
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