Robust output regulation of the linearized Boussinesq equations with boundary control and observation [PDF]
MCSS. Mathematics of Control, Signals and Systems, 2020 We study a temperature and velocity output tracking problem for a two-dimensional room model with the fluid dynamics governed by the linearized translated Boussinesq equations. Additionally, the room model includes finite-dimensional models for actuation
N. Leppla +32 more
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Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach [PDF]
American Control Conference, 2019 This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the time instants ...
Nicolás Espitia +2 more
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On Problem of Internal Boundary Control for String Vibration Equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article deals with the vibration control problem described by one dimensional wave equation with integral type boundary condition. As usual, the initial and final moments of time for arbitrary displacements and velocities of the wave are specified ...
A.Kh. Attaev
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Observer-based event-triggered boundary control of a linear 2 × 2 hyperbolic systems
Systems & control letters (Print), 2020 This paper deals with an observer-based event-triggered boundary control for a coupled 2 × 2 linear hyperbolic system. The approach builds on an output feedback controller depending on estimated states along with a dynamic triggering condition which ...
Nicolás Espitia
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PI Regulation of a Reaction–Diffusion Equation With Delayed Boundary Control [PDF]
IEEE Transactions on Automatic Control, 2019 The general context of this article is the feedback control of an infinite-dimensional system so that the closed-loop system satisfies a fading-memory property and achieves the setpoint tracking of a given reference signal.
H. Lhachemi, C. Prieur, E. Trélat
semanticscholar +1 more source
Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control [PDF]
IEEE Transactions on Automatic Control, 2019 This article studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open-loop system might exhibit a ...
H. Lhachemi, C. Prieur
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Adaptive Control for an Aircraft Wing System with Hysteresis Nonlinearity
Mathematics, 2023 This paper involves a novel adaptive control approach of a flexible wing system with hysteresis nonlinearity. The usual control design strategies based on the ordinary differential equations (ODEs) are inapplicable due to the flexible wing system ...
Yi Qin +4 more
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Bilateral Boundary Control of Moving Shockwave in LWR Model of Congested Traffic [PDF]
IEEE Transactions on Automatic Control, 2019 We develop backstepping state feedback control to stabilize a moving shockwave in a freeway segment under bilateral boundary actuations of traffic flow.
Huan Yu +3 more
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Vibration Suppression of a Flexible Riser by Boundary Iterative Learning Control
IEEE Access, 2019 This paper studies the vibration suppression problem of nonlinear flexible riser systems subjected to external disturbances. For suppressing the vibration and improving the control precision, a novel joint control method which includes boundary control ...
Yu Liu, Qiongyao Zhang, Yun Fu
doaj +1 more source
Boundary control for transport equations
Mathematical Control and Related Fields, 2023 This paper considers two types of boundary control problems for linear transport equations. The first one shows that transport solutions on a subdomain of a domain X can be controlled exactly from incoming boundary conditions for X under appropriate convexity assumptions.
Bal, Guillaume, Jollivet, Alexandre
openaire +4 more sources