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We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian…

最优化与控制 · 数学 2022-05-19 Yaxing Ma , Gengsheng Wang , Huaiqiang Yu

In this paper, we continue the study of some controllability issues for the forward stochastic heat equation with dynamic boundary conditions. The main novelty in the present paper consists of considering only one control without extra…

最优化与控制 · 数学 2024-12-02 Mahmoud Baroun , Said Boulite , Abdellatif Elgrou , Omar Oukdach

This work develops a new direct adaptive control framework that extends the certainty equivalence principle to general nonlinear systems with unmatched model uncertainties. The approach adjusts the rate of adaptation online to eliminate the…

系统与控制 · 电气工程与系统科学 2021-11-09 Brett T. Lopez , Jean-Jacques E. Slotine

In this paper, a novel adaptive optimal control strategy is proposed to achieve the cooperative optimal output regulation of continuous-time linear multi-agent systems based on adaptive dynamic programming (ADP). The proposed method is…

系统与控制 · 电气工程与系统科学 2023-01-18 Omar Qasem , Khalid Jebari , Weinan Gao

This paper presents an algorithm to apply nonlinear control design approaches in the case of stochastic systems with partial state observation. Deterministic nonlinear control approaches are formulated under the assumption of full state…

系统与控制 · 电气工程与系统科学 2023-09-19 Mohammad S. Ramadan , Mohammad Alsuwaidan , Ahmed Atallah , Sylvia Herbert

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

最优化与控制 · 数学 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

This paper develops an input-to-state stability (ISS) analysis of the Stefan problem with respect to an unknown heat loss. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a…

最优化与控制 · 数学 2019-03-06 Shumon Koga , Iasson Karafyllis , Miroslav Krstic

This paper summarizes an optimal state estimation that previously has been used in power systems and discusses the robustness of the by using a system-state controller. Static state estimation (SSE) traditionally tries to linearize power…

系统与控制 · 电气工程与系统科学 2020-06-08 Ramin Faraji

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

混沌动力学 · 物理学 2016-09-08 Jianping Cai , Meili Lin

The primary focus of this paper is to establish the internal null controllability for the one-dimensional heat equation featuring dynamic boundary conditions. This achievement is realized by introducing a new Carleman estimate and an…

最优化与控制 · 数学 2024-04-03 El Mustapha Ait Ben Hassi , Mariem Jakhoukh , Lahcen Maniar , Walid Zouhair

In the absence of persistency of excitation (PE), referring to adaptive control systems as "asymptotically stable" typically indicates insufficient understanding of stability concepts. While the state is indeed regulated to zero and the…

最优化与控制 · 数学 2023-01-12 Iasson Karafyllis , Alexandros Aslanidis , Miroslav Krstic

This work proposes an adaptive output feedback model predictive control (MPC) framework for uncertain systems subject to external disturbances. In the absence of exact knowledge about the plant parameters and complete state measurements,…

系统与控制 · 电气工程与系统科学 2025-07-03 Anchita Dey , Shubhendu Bhasin

We study the output feedback exponential stabilization of a one-dimensional unstable wave equation, where the boundary input, given by the Neumann trace at one end of the domain, is the sum of the control input and the total disturbance.…

最优化与控制 · 数学 2017-06-08 Hua-Cheng Zhou , George Weiss

In this paper, a concurrent learning based adaptive observer is developed for a class of second-order linear time-invariant systems with uncertain system matrices. The developed technique yields an exponentially convergent state estimator…

系统与控制 · 计算机科学 2017-07-25 Rushikesh Kamalapurkar

This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

系统与控制 · 计算机科学 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

We consider the policy gradient adaptive control (PGAC) framework, which adaptively updates a control policy in real time, by performing data-based gradient descent steps on the linear quadratic regulator cost. This method has empirically…

最优化与控制 · 数学 2026-01-07 Felix Laurent , Feiran Zhao , Jaap Eising , Florian Dörfler

We propose to explore switching methods in order to recover some properties of Kalmanlike observers for output feedback stabilization of state-affine systems that may present observability singularities. The self-tuning gain matrix in…

最优化与控制 · 数学 2022-11-17 Lucas Brivadis , Ludovic Sacchelli

In this paper, we consider the problem of optimizing the worst-case behavior of a partially observed system. All uncontrolled disturbances are modeled as finite-valued uncertain variables. Using the theory of cost distributions, we present…

最优化与控制 · 数学 2023-02-21 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

The problem of estimating the reaction coefficient of a system governed by a reaction-diffusion partial differential equation is tackled. An estimator relying on boundary measurements only is proposed. The estimator is based upon a setpoint…

最优化与控制 · 数学 2024-05-10 Gildas Besançon , Andrea Cristofaro , Francesco Ferrante

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

最优化与控制 · 数学 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori