Traffic congestion control for Aw–Rascle–Zhang model

H Yu, M Krstic - Automatica, 2019 - Elsevier
This paper develops boundary feedback control laws to reduce stop-and-go oscillations in
congested traffic. The macroscopic traffic dynamics are governed by Aw–Rascle–Zhang …

Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction–diffusion systems

N Espitia, A Polyakov, D Efimov, W Perruquetti - Automatica, 2019 - Elsevier
In this paper, the problem of fixed-time stabilization of constant-parameter reaction–diffusion
partial differential equations by means of continuous boundary time-varying feedbacks is …

Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

JM Coron, L Hu, G Olive - Automatica, 2017 - Elsevier
This paper is devoted to a simple and new proof on the optimal finite control time for general
linear coupled hyperbolic system by using boundary feedback on one side. The feedback …

Sensor delay-compensated prescribed-time observer for LTI systems

N Espitia, D Steeves, W Perruquetti, M Krstic - Automatica, 2022 - Elsevier
We present an observer for linear time-invariant (LTI) systems with measurement delay. Our
design ensures that the observer error converges to zero within a prescribed terminal time …

Predictor-feedback prescribed-time stabilization of LTI systems with input delay

N Espitia, W Perruquetti - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
This article first deals with the problem of prescribed-time stability of linear systems without
delay. The analysis and design involve the Bell polynomials, the generalized Laguerre …

Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs

J Auriol, UJF Aarsnes, P Martin… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
We detail in this paper the importance of a change of strategy for the delay robust control of
systems composed of two linear first-order hyperbolic equations. One must go back to the …

Boundary stabilization of 1D hyperbolic systems

A Hayat - Annual Reviews in Control, 2021 - Elsevier
Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …

Control of shallow waves of two unmixed fluids by backstepping

M Diagne, SX Tang, A Diagne, M Krstic - Annual Reviews in Control, 2017 - Elsevier
Among the existing global challenges, water system management is becoming more and
more important as the consumption patterns are continually growing. The implication of …

Delay-robust stabilization of a hyperbolic PDE–ODE system

J Auriol, F Bribiesca-Argomedo, DB Saba, M Di Loreto… - Automatica, 2018 - Elsevier
We detail in this article the development of a delay-robust stabilizing feedback control law for
a linear ordinary differential equation coupled with two linear first order hyperbolic equations …

A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope

A Hayat, P Shang - Automatica, 2019 - Elsevier
The exponential stability problem of the nonlinear Saint-Venant equations is addressed in
this paper. We consider the general case where an arbitrary friction and space-varying slope …