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Recent developments in autonomous driving, vehicle-to-vehicle communication and smart traffic controllers have provided a hope to realize platoon formation of vehicles. The main benefits of vehicle platooning include improved safety,…

Logic in Computer Science · Computer Science 2018-04-25 Adnan Rashid , Umair Siddique , Osman Hasan

We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which is controlled…

Systems and Control · Electrical Eng. & Systems 2020-10-27 Swann Marx , Lucas Brivadis , Daniele Astolfi

We introduce a control design and analysis framework for micro-macro, boundary control of large-scale, $n+m$ hyperbolic PDE systems. Specifically, we develop feedback laws for stabilization of hyperbolic systems at the micro level (i.e., of…

Optimization and Control · Mathematics 2025-10-15 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

Disturbance observer-based control has shown promise in robustifying robotic systems against uncertainties. However, tuning such systems remains challenging due to the strong coupling between controller gains and observer parameters. In…

Robotics · Computer Science 2026-03-31 Xiexin Peng , Bingheng Wang , Tao Zhang , Ying Zheng

This paper is about obtaining stable vehicle platooning by using Cooperative Adaptive Cruise Control when the communication is unreliable and suffers from message losses. We model communication losses as independent random events and we…

Systems and Control · Computer Science 2019-05-14 Francesco Acciani , Paolo Frasca , Geert Heijenk , Anton Stoorvogel

This paper considers a differential game approach to the predecessor-following vehicle platoon control problem without and with collision avoidance. In this approach, each vehicle tries to minimize the performance index (PI) of its control…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Hossein B. Jond

In this paper, a backstepping control of the one-phase Stefan Problem, which is a 1-D diffusion Partial Differential Equation (PDE) defined on a time varying spatial domain described by an ordinary differential equation (ODE), is studied. A…

Optimization and Control · Mathematics 2016-07-18 Shumon Koga , Mamadou Diagne , Shuxia Tang , Miroslav Krstic

This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal delay subject to stochastic error disturbance. The…

Optimization and Control · Mathematics 2024-01-22 Dandan Guan , Jie Qi , Mamadou Diagne

Vehicle platooning has been a promising solution for improving traffic efficiency and throughput. However, a failure in a single vehicle, including communication loss with neighboring vehicles, can significantly disrupt platoon performance…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Farid Mafi , Mohammad Pirani

A PDE-based control concept is developed to deploy a multi-agent system into desired formation profiles. The dynamic model is based on a coupled linear, time-variant parabolic distributed parameter system. By means of a particular coupling…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Gerhard Freudenthaler , Thomas Meurer

The stability of autonomous vehicle platoons with limits on acceleration and deceleration is determined. If the leading-vehicle acceleration remains within the limits, all vehicles in the platoon remain within the limits when the…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 L. C. Davis

In this paper, we design a controller for an interconnected system consisting of a linear Stochastic Differential Equation (SDE) actuated through a linear hyperbolic Partial Differential Equation (PDE). Our approach aims to minimize the…

Optimization and Control · Mathematics 2024-05-15 Gabriel Velho , Jean Auriol , Riccardo Bonalli , Islam Boussaada

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

To stabilize PDE models, control laws require space-dependent functional gains mapped by nonlinear operators from the PDE functional coefficients. When a PDE is nonlinear and its "pseudo-coefficient" functions are state-dependent, a…

Systems and Control · Electrical Eng. & Systems 2024-01-08 Maxence Lamarque , Luke Bhan , Rafael Vazquez , Miroslav Krstic

We extend the convergence analysis for methods solving PDE-constrained optimal control problems containing both discrete and continuous control decisions based on relaxation and rounding strategies to the class of first order semilinear…

Optimization and Control · Mathematics 2015-09-15 Falk M. Hante

We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-varying reaction. Using "folding" transforms the parabolic…

Optimization and Control · Mathematics 2019-08-23 Stephen Chen , Rafael Vazquez , Miroslav Krstic

The growing complexity of modern control tasks calls for controllers that can react online as objectives and disturbances change, while preserving closed-loop stability. Recent approaches for improving the performance of nonlinear systems…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Danilo Saccani , Luca Furieri , Giancarlo Ferrari-Trecate

PID control has been the dominant control strategy in the process industry due to its simplicity in design and effectiveness in controlling a wide range of processes. However, traditional methods on PID tuning often require extensive domain…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Ayub I. Lakhani , Myisha A. Chowdhury , Qiugang Lu

Sliding mode control (SMC) is a robust and computationally efficient solution for tracking control problems of highly nonlinear systems with a great deal of uncertainty. High frequency oscillations due to chattering phenomena and…

Optimization and Control · Mathematics 2017-06-08 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan , J. Karl Hedrick

This paper considers a string of vehicles where the local control law uses the states of the vehicle's immediate predecessor and follower. The coupling towards the preceding vehicle can be chosen different to the coupling towards the…

Systems and Control · Computer Science 2016-10-12 Ivo Herman , Steffi Knorn , Anders Ahlén