Output-feedback control of viscous liquid–tank system and its numerical approximation

Karafyllis, Iasson; Vokos, Filippos; Krstić, Miroslav

doi:10.1016/j.automatica.2022.110827

Cited by 7 publications

(51 citation statements)

References 34 publications

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“…• the functional W is a kind of mechanical energy of the liquid within the tank and has been used extensively in the literature of isentropic, compressible liquid flow (see [22,31,39,40]) as well as in [23][24][25].…”

Section: The Control Lyapunov Functional (Clf)mentioning

confidence: 99%

“…As in [23][24][25] the state space will be appropriately defined in order to exclude states of the set S defined by ( 21) that violate the condition (17), i.e, the states that cause liquid spillage. We define the following…”

Section: The State Spacementioning

confidence: 99%

“…A robust with respect to wall friction stabilizing feedback law is constructed. Another study which deals with the nonlinear viscous Saint-Venant model is [24]. In [24] a stabilizing output-feedback control law for the viscous Saint-Venant PDE system without wall friction and without surface tension is constructed.…”

Section: Introductionmentioning

confidence: 99%

“…Another study which deals with the nonlinear viscous Saint-Venant model is [24]. In [24] a stabilizing output-feedback control law for the viscous Saint-Venant PDE system without wall friction and without surface tension is constructed. The output-feedback control law is utilized through a functional-observer methodology and a CLF methodology.…”

Section: Introductionmentioning

confidence: 99%

“…We achieve a spill-free exponential stabilization, with robustness to surface tension. As in [23][24][25] we follow a CLF methodology and we design the feedback law based on an appropriate functional, which is the CLF. The CLF determines a specific parameterized set which approximates the state space of the control problem from the interior.…”

Section: Introductionmentioning

confidence: 99%

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Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction

Karafyllis¹,

Vokos²,

Krstić³

2022

ESAIM: COCV

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We solve the feedback stabilization problem for a tank, with friction, containing a liquid modeled by the viscous Saint-Venant system of Partial Differential Equations. A spill-free exponential stabilization is achieved, with robustness to the wall friction forces. A Control Lyapunov Functional (CLF) methodology with two different Lyapunov functionals is employed. These functionals determine specific parameterized sets which approximate the state space. The feedback law is designed based only on one of the two functionals (which is the CLF) while the other functional is used for the derivation of estimates of the sup-norm of the velocity. The feedback law does not require the knowledge of the exact relation of the friction coefficient. Two main results are provided: the first deals with the special case of a velocity-independent friction coefficient, while the second deals with the general case. The obtained results are new even in the frictionless case.

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Section: The Control Lyapunov Functional (Clf)mentioning

confidence: 99%

Section: The State Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction

Karafyllis¹,

Vokos²,

Krstić³

2022

ESAIM: COCV

Self Cite

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A comparative study of numerical methods for approximating the solutions of a macroscopic automated-vehicle traffic flow model

Titakis,

Karafyllis,

Theodosis

et al. 2024

Computers & Mathematics with Applications

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A particle method for 1‐D compressible fluid flow

Karafyllis

Papageorgiou

2023

Stud Appl Math

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This paper proposes a novel particle scheme that provides convergent approximations of a weak solution of the Navier‐Stokes equations for the 1‐D flow of a viscous compressible fluid. Moreover, it is shown that all differential inequalities that hold for the fluid model are preserved by the particle method: mass is conserved, mechanical energy is decaying, and a modified mechanical energy functional is also decaying. The proposed particle method can be used both as a numerical method and as a method of proving existence of solutions for compressible fluid models.

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Output-feedback control of viscous liquid–tank system and its numerical approximation

Cited by 7 publications

References 34 publications

Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction

Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction

A comparative study of numerical methods for approximating the solutions of a macroscopic automated-vehicle traffic flow model

A particle method for 1‐D compressible fluid flow

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