10 papers
Construction of Control Lyapunov-Barrier Functions from CLF-CBF Pairs
Bo Wang, Miroslav Krstic
This paper studies the construction of control Lyapunov-barrier functions (CLBFs) from a given control Lyapunov function (CLF) and control barrier function (CBF) . We consid…
Nonholonomic directional pursuit and evasion: Global feedbacks
Bo Wang, Miroslav Krstic
In a recent paper by the second coauthor, directional pursuit-evasion for strictly forward-moving nonholonomic vehicles was solved "half-globally", namely under favorable initial l…
Feedback Linearization of Hyperbolic PDEs with Volterra Nonlinearities
Miroslav Krstic
Alberto Isidori's framework of geometric nonlinear control, and particularly of feedback linearization, is the inspiration behind PDE backstepping: apply a transfromation of the st…
Contractor-Expander and Universal Inverse Optimal Positive Nonlinear Control
Miroslav Krstic
For general control-affine nonlinear systems in the positive orthant, and with positive controls, we show how strict CLFs can be utilized for inverse optimal stabilization. Convent…
Asymmetry Demystified: Strict CLFs and Feedbacks for Predator-Prey Interconnections
Miroslav Krstic
The difficulty with control of population dynamics, besides the states being positive and the control having to also be positive, is the extreme difference in the dynamics near ext…
Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction
Mohamed Camil Belhadjoudja, M Maghenem, E Witrant +1
For quasilinear parabolic partial differential equations (PDEs) that exhibit finite-time blow up in open loop, i.e., under null boundary conditions, we provide an estimate of the r…
Boundary Stabilization of Quasilinear Parabolic PDEs that Blow Up in Open Loop for Arbitrarily Small Initial Conditions
M C Belhadjoudja, M Maghenem, E Witrant +1
We propose a novel framework for stabilization, with an estimate of the region of attraction, of quasilinear parabolic partial differential equations (PDEs) that exhibit finite-tim…
Inverse Optimal Cardano-Lyapunov Feedback for PDEs with Convection
Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem +1
We consider the problem of inverse optimal control design for systems that are not affine in the control. In particular, we consider some classes of partial differential equations…
From Sontag s to Cardano-Lyapunov Formula for Systems Not Affine in the Control: Convection-Enabled PDE Stabilization
Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem +1
We propose the first generalization of Sontag s universal controller to systems not affine in the control, particularly, to PDEs with boundary actuation. We assume that the system…
Convection-Enabled Boundary Control of a 2D Channel Flow
Mohamed Camil Belhadjoudja, Miroslav Krstic, Emmanuel Witrant
Nonlinear convection, the source of turbulence in fluid flows, may hold the key to stabilizing turbulence by solving a specific cubic polynomial equation. We consider the incompres…