Journal ArticleDOI
Adaptive output-feedback stabilization of non-local hyperbolic PDEs
Pauline Bernard,Miroslav Krstic +1 more
TLDR
This work addresses the problem of adaptive output-feedback stabilization of general first-order hyperbolic partial integro-differential equations (PIDE) with non-local (in space) terms by introducing a pre-transformation of the system into an observer canonical form and presenting the non-adaptive/baseline controller.About:
This article is published in Automatica.The article was published on 2014-10-01. It has received 100 citations till now. The article focuses on the topics: Pointwise & Observer (quantum physics).read more
Citations
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Journal ArticleDOI
Cooperative control of a nonuniform gantry crane with constrained tension
Wei He,Shuzhi Sam Ge +1 more
TL;DR: Cooperative control laws are proposed and the integral-barrier Lyapunov functions are employed for stability analysis of the closed-loop system and Adaption laws are developed for handling parametric uncertainties.
Journal ArticleDOI
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
TL;DR: This paper presents a solution to the fully general case, in which the number of PDEs in either direction is arbitrary, and where actuation is applied on only one boundary, and solves the problem of control of coupled “homodirectional” hyperbolic linear PDE s, where multiple transport PDES convect in the same direction with arbitrary local coupling.
Journal ArticleDOI
An Adaptive Observer Design for $n+1$ Coupled Linear Hyperbolic PDEs Based on Swapping
TL;DR: This paper uses swapping design filters to bring systems of n+1 partial differential equations of the hyperbolic type to static form, and standard parameter identification laws are applied to estimate unknown parameters in the boundary conditions.
Journal ArticleDOI
Adaptive rejection of harmonic disturbance anticollocated with control in 1D wave equation
TL;DR: This paper designs an output feedback adaptive controller which regulates the output to zero and keeps all the states bounded and applies the Backstepping method for infinite dimensional system.
Journal ArticleDOI
Sampled-data boundary feedback control of 1-D linear transport PDEs with non-local terms
TL;DR: It is shown that the emulation design based on the recently proposed continuous-time, boundary feedback, designed by means of backstepping, guarantees closed-loop exponential stability, provided that the sampling period is sufficiently small.
References
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Book
Delay Compensation for Nonlinear, Adaptive, and PDE Systems
TL;DR: In this paper, the authors present a model for linear delay-dependent ODEs with PDE Sensor and Actuator Dynamics, and present a linearizable class of strict-feedforward ODE systems.
Journal ArticleDOI
Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
TL;DR: This work designs controllers using a backstepping method for parabolic PDEs and shows that the proposed method can be used for boundary control of the a Korteweg-de Vries-like third order PDE.
Journal ArticleDOI
Closed-form boundary State feedbacks for a class of 1-D partial integro-differential equations
TL;DR: A problem of boundary stabilization of a class of linear parabolic partial integro-differential equations in one dimension is considered using the method of backstepping, avoiding spatial discretization required in previous efforts.
Proceedings ArticleDOI
A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws
TL;DR: A strict Lyapunov function for hyperbolic systems of conservation laws that can be diagonalized with Riemann invariants that allows to guarantee the local convergence of the state towards a desired set point.