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Related papers: Event-Triggered Adaptive Control of a Parabolic PD…

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This paper addresses the problem of event-triggered control for infinite-dimensional systems. We employ event-triggering mechanisms that compare the plant state and the error of the control input induced by the event-triggered…

Optimization and Control · Mathematics 2019-12-02 Masashi Wakaiki , Hideki Sano

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.…

Optimization and Control · Mathematics 2026-05-12 Zhan-Dong Mei , Lan-Xi Tang

The paper extends a recently proposed indirect, certainty-equivalence, event-triggered adaptive control scheme to the case of non-observable parameters. The extension is achieved by using a novel Batch Least-Squares Identifier (BaLSI),…

Optimization and Control · Mathematics 2018-11-28 Iasson Karafyllis , Maria Kontorinaki , Miroslav Krstic

This paper presents a safe delay-adaptive control for a strict-feedback nonlinear ODE with a delayed actuator, whose dynamic is also a strict-feedback nonlinear ODE and the delay length is unknown. By formulating the delay as a transport…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhenxu Zhao , Ji Wang

This paper presents an event-triggered boundary control strategy for a class of reaction-diffusion PDEs with time-varying reactivity under Robin actuation. The control approach consists of a backstepping full-state feedback boundary…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Bhathiya Rathnayake , Mamadou Diagne

It is nontrivial to achieve global zero-error regulation for uncertain nonlinear systems. The underlying problem becomes even more challenging if mismatched uncertainties and unknown time-varying control gain are involved, yet certain…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Hefu Ye , Yongduan Song

The parameter convergence relies on a stringent persistent excitation (PE) condition in adaptive control. Several works have proposed a memory term in the last decade to translate the PE condition to a feasible finite excitation (FE)…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Manish Patel , Arnab Maity

This paper presents an adaptive observer design for semilinear hyperbolic rolling contact ODE-PDE systems with uncertain friction characteristics parameterized by a matrix of unknown coefficients appearing in the nonlinear (and possibly…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

In this paper, we consider the problem of set-point tracking for a discrete-time plant with unknown plant parameters belonging to a convex and compact uncertainty set. We carry out parameter estimation for an associated auxiliary plant, and…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Mohamad T. Shahab

For general nonlinear control systems we present a novel approach to adaptive control, which employs a certainty equivalence (indirect) control law and an identifier with event-triggered updates of the plant parameter estimates, where the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations (PIDEs) with an unknown input delay. By employing a transport PDE to represent delayed actuator states, the system is…

Analysis of PDEs · Mathematics 2023-07-11 Shanshan Wang , Jie Qi , Miroslav Krstic

The paper proposes a novel event-triggered control scheme for nonlinear systems based on the input-delay method. Specifically, the closed-loop system is associated with a pair of auxiliary input and output. The auxiliary output is defined…

Systems and Control · Computer Science 2020-10-23 Lijun Zhu , Zhiyong Chen , David J. Hill , Shengli Du

We employ the recent performance-barrier event-triggered control (P-ETC) for achieving global exponential convergence of a class of reaction-diffusion PDEs via PDE backstepping control. Rather than insisting on a strictly monotonic decrease…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Bhathiya Rathnayake , Mamadou Diagne , Jorge Cortes , Miroslav Krstic

This paper presents a safe output regulation control strategy for a class of systems modeled by a coupled $2\times 2$ hyperbolic PDE-ODE structure, subject to fully distributed disturbances throughout the system. A state-feedback controller…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Ji Wang , Miroslav Krstic

This paper provides an observer-based event-triggered boundary control strategy for the one-phase Stefan problem using the position and velocity measurements of the moving interface. The infinite-dimensional backstepping approach is used to…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Bhathiya Rathnayake , Mamadou Diagne

We present a data-based approach to design event-triggered state-feedback controllers for unknown continuous-time linear systems affected by disturbances. By an event, we mean state measurements transmission from the sensors to the…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Claudio De Persis , Romain Postoyan , Pietro Tesi

Periodic event-triggered control (PETC) evaluates the triggering rule periodically and is well-suited for implementation on digital platforms. This paper investigates PETC design for nonlinear systems affected by external disturbances under…

Optimization and Control · Mathematics 2020-06-05 Xiangru Xu , Adam M. Tahir , Behcet Acikmese

In this paper, we are concerned with the state feedback stabilization of ODE-PDE cascade systems governed by a linear ordinary differential equation and the 1-d reaction-diffusion equation posed on a bounded interval. In contrast to the…

Analysis of PDEs · Mathematics 2018-01-04 Habib Ayadi

A novel method of exponentially stable adaptive control to compensate for matched parametric uncertainty under a mild condition of semi-persistent excitation (s-PE) of a regressor with piecewise-constant rank and nullspace is proposed. It…

Systems and Control · Electrical Eng. & Systems 2022-10-24 Anton Glushchenko , Konstantin Lastochkin

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre