On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems

M Gugat, FM Hante - SIAM Journal on Control and Optimization, 2019 - SIAM
We study problems of optimal boundary control with systems governed by linear hyperbolic
partial differential equations. The objective function is quadratic and given by an integral …

Duality-based optimal compensator for boundary control hyperbolic PDEs system: Application to a tubular cracking reactor

I Aksikas - Journal of the Franklin Institute, 2020 - Elsevier
This paper is devoted to the design of an optimal stabilizing compensator for a boundary
control distributed parameter system that is described by a set of hyperbolic partial …

Optimal tracking control for a class of boundary controlled linear coupled hyperbolic PDE systems: Application to plug flow reactor with temperature output feedback

X Xu, S Dubljevic - European Journal of Control, 2018 - Elsevier
This work addresses an optimal linear quadratic (LQ) boundary output regulator design
problem for the plug flow reactor described by hyperbolic partial differential equations …

Optimal Boundary Output Feedback Control by Triangularization of the Counterflow Heat Exchanger Model

JK Kazaku, D Dochain, MM Kahilu… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
In this paper we are interested in the LQ-optimal boundary control of counterflow heat
exchanger. The dynamics of this system is described (under some assumptions) by …

[PDF][PDF] Modelling, Analysis and Control of Counterflow Heat Exchangers: An Infinite-Dimensional and Thermodynamic Approach

KK Jacques - 2023 - dial.uclouvain.be
In industrial applications where energy is vital, heat exchangers have acquired major
economic importance. Indeed, a large part of the thermal energy produced or collected in …

Inverse optimal stabilization of 2× 2 linear hyperbolic partial differential equations

H Anfinsen, OM Aamo - 2017 25th Mediterranean Conference …, 2017 - ieeexplore.ieee.org
We solve an inverse optimal control problem for a class of systems of 2× 2 linear hyperbolic
partial differential equations (PDEs). The derived controller exponentially stabilizes the …

State estimation and servo-control of distributed parameter systems

X Xu - 2017 - era.library.ualberta.ca
The dynamics of many chemical and mechanical processes are influenced by both temporal
and spatial factors and these processes are called distributed parameter systems (DPS) …

Non-adaptive Schemes

H Anfinsen, OM Aamo, H Anfinsen… - Adaptive Control of …, 2019 - Springer
In this chapter, non-adaptive controllers and observers will be derived. Most of the results
will concern systems in the form (7.4), which we restate here u_t (x, t)+ λ (x) u_x (x, t)= c_ 1 …