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This paper develops a robust safety-critical control method for nonlinear strictfeedback systems with mismatched disturbances. Using a state transformation and a linear time-varying disturbance observer, the system is converted into a form…

系统与控制 · 电气工程与系统科学 2025-12-24 Imtiaz Ur Rehman , Moussa Labbadi , Amine Abadi , Lew Lew Yan Voon

The estimation of the full state of a nonautonomous semilinear parabolic equation is achieved by a Luenberger type dynamical observer. The estimation is derived from an output given by a finite number of average measurements of the state on…

偏微分方程分析 · 数学 2025-03-10 Sérgio S. Rodrigues

This paper proposes a novel unified interval-valued observer synthesis approach for locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with nonlinear observations. A key feature of our proposed observer, which…

系统与控制 · 电气工程与系统科学 2022-02-24 Mohammad Khajenejad , Fatima Shoaib , Sze Zheng Yong

A simultaneous input and state interval observer is presented for Lipschitz continuous nonlinear systems with unknown inputs and bounded noise signals for the case when the direct feedthrough matrix has full column rank. The observer…

系统与控制 · 电气工程与系统科学 2020-02-13 Mohammad Khajenejad , Sze Zheng Yong

This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order that that of the nominal…

动力系统 · 数学 2011-08-02 M. De La Sen

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

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback…

最优化与控制 · 数学 2020-06-19 Ludovic Sacchelli , Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

最优化与控制 · 数学 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

This work provides a framework for data-driven control of discrete time systems with unknown input-output dynamics and outputs controllable by the inputs. This framework leads to stable and robust real-time control of the system such that a…

系统与控制 · 电气工程与系统科学 2021-04-02 Amit K. Sanyal

This manuscript focuses on the $\mathcal{H}_\infty$ observer design for a class of nonlinear discrete systems under the presence of measurement noise or external disturbances. Two new Linear Matrix Inequality (LMI) conditions are developed…

系统与控制 · 电气工程与系统科学 2024-07-12 Shivaraj Mohite

We are interested in the feedback stabilization of systems described by Hamilton-Jacobi type equations in $\mathbb{R}^n$. A reformulation leads to a a stabilization problem for a multi-dimensional system of $n$ hyperbolic partial…

最优化与控制 · 数学 2024-01-26 Michael Herty , Ferdinand Thein

For a system that is governed by the isothermal Euler equations with friction for ideal gas, the corresponding field of characteristic curves is determined by the velocity of the flow. This velocity is determined by a second-order…

最优化与控制 · 数学 2016-08-09 Martin Gugat , Günter Leugering , Ke Wang

We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_\infty$-output feedback controllers which stabilize the infinite dimensional system exponentially…

最优化与控制 · 数学 2020-02-19 Pierre Apkarian , Dominikus Noll

The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold…

最优化与控制 · 数学 2017-01-10 Iasson Karafyllis , Miroslav Krstic

This paper derives for non-linear, time-varying and feedback linearizable systems simple controller designs to achieve specified state-and timedependent complex convergence rates. This approach can be regarded as a general gain-scheduling…

混沌动力学 · 物理学 2010-04-20 Winfried Lohmiller , Jean-Jacques E. Slotine

This paper investigates the distributed optimal output consensus problem of second-order uncertain nonlinear multi-agent systems over weight-unbalanced directed networks. Under the standard assumption that local cost functions are strongly…

最优化与控制 · 数学 2022-02-11 Jin Zhang , Lu Liu , Haibo Ji

In this paper we use optimization-based methods to design output-feedback controllers for a class of one-dimensional parabolic partial differential equations. The output may be distributed or point-measurements. The input may be distributed…

系统与控制 · 计算机科学 2014-08-25 Aditya Gahlawat , Matthew. M. Peet

In this paper we obtain the continuity of attractors for nonlinear parabolic equations with nonlinear boundary conditions when the boundary of the domain varies very rapidly as a parameter $\epsilon$ goes to zero. We consider the case where…

偏微分方程分析 · 数学 2024-06-05 Gleiciane S. Aragão , José M. Arrieta , Simone M. Bruschi

This article concerns the nonlinear Korteweg-de Vries equation with boundary time-delay feedback. Under appropriate assumption on the coefficients of the feedbacks (delayed or not), we first prove that this nonlinear infinite dimensional…

偏微分方程分析 · 数学 2017-11-28 Lucie Baudouin , Emmanuelle Crépeau , Julie Valein

Designing control inputs that satisfy safety requirements is crucial in safety-critical nonlinear control, and this task becomes particularly challenging when full-state measurements are unavailable. In this work, we address the problem of…

系统与控制 · 电气工程与系统科学 2024-03-15 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami