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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

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and m leftward convecting transport PDEs. Using the backstepping approach yields solutions to…

偏微分方程分析 · 数学 2015-12-24 Jean Auriol , Florent Di Meglio

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

In this paper, we present output feedback boundary stabilization for a class of semilinear parabolic PDEs with a boundary measurement and an actuation located at the same place. The method uses backstepping transformations, where the state…

偏微分方程分析 · 数学 2016-12-13 Agus Hasan

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

系统与控制 · 电气工程与系统科学 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

最优化与控制 · 数学 2022-07-13 Hugo Lhachemi , Christophe Prieur

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

系统与控制 · 电气工程与系统科学 2025-12-01 Dongdong Li , Jiuxiang Dong

We develop a backstepping control design for a class of continuum systems of linear hyperbolic PDEs, described by a coupled system of an ensemble of rightward transporting PDEs and a (finite) system of $m$ leftward transporting PDEs. The…

最优化与控制 · 数学 2024-10-30 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

In this article, we investigate the problem of exponential stabilization via output feedback for a cascaded system composed of an ordinary differential equation (ODE) and a wave partial differential equation (PDE) under boundary control.…

最优化与控制 · 数学 2026-05-12 Zhan-Dong Mei , Lan-Xi Tang

This paper gives an overview of the control of distributed-parameter systems using normal forms. Considering linear controllable PDE-ODE systems of hyperbolic type, two methods derive tracking controllers by mapping the system into a form…

系统与控制 · 电气工程与系统科学 2023-05-17 Nicole Gehring , Abdurrahman Irscheid , Joachim Deutscher , Frank Woittennek , Joachim Rudolph

We solve the global asymptotic stability problem of an unstable reaction-diffusion Partial Differential Equation (PDE) subject to input delay and state quantization developing a switched predictor-feedback law. To deal with the input delay,…

系统与控制 · 电气工程与系统科学 2025-01-28 Florent Koudohode , Nikolaos Bekiaris-Liberis

We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by general, quasilinear, first-order hyperbolic PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state…

最优化与控制 · 数学 2017-10-23 Nikolaos Bekiaris-Liberis , Miroslav Krstic

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be…

最优化与控制 · 数学 2019-07-17 Tarek Ahmed-Ali , Iasson Karafyllis , Fouad Giri

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

最优化与控制 · 数学 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

Stabilization of a coupled system consisting of a parabolic partial differential equation and an elliptic partial differential equation is considered. Even in the situation when the parabolic equation is exponentially stable on its own, the…

最优化与控制 · 数学 2023-09-04 Ala' Alalabi , Kirsten Morris

We consider an interlinked production model consisting of conservation laws (PDE) coupled to ordinary differential equations (ODE). Our focus is the analysis of control laws for the coupled system and corresponding stabilization questions…

最优化与控制 · 数学 2019-12-13 Vanessa Baumgärtner , Simone Göttlich , Stephan Knapp

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

系统与控制 · 电气工程与系统科学 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

最优化与控制 · 数学 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

The paper provides results for a non-standard, hyperbolic, 1-D, nonlinear traffic flow model on a bounded domain. The model consists of two first-order PDEs with a dynamic boundary condition that involves the time derivative of the…

最优化与控制 · 数学 2017-07-10 Iasson Karafyllis , Nikolaos Bekiaris-Liberis , Markos Papageorgiou

This paper investigates the stabilization of a coupled system comprising a parabolic PDE and an elliptic PDE with nonlinear terms. A rigorous backstepping design provides an explicit boundary control law and exponentially convergent…

偏微分方程分析 · 数学 2025-07-18 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra