Energy-based Control of a Wave Equation with Boundary Anti-damping
TLDR
In this paper, the authors consider the asymptotic boundary stabilisation of a one-dimensional wave equation subject to anti-damping at its free end and with control at the opposite one.About:
This article is published in IFAC-PapersOnLine.The article was published on 2020-01-01 and is currently open access. It has received 7 citations till now. The article focuses on the topics: Boundary value problem & Control theory.read more
Citations
More filters
L2 Gain And Passivity Techniques In Nonlinear Control
TL;DR: L2 gain and passivity techniques in nonlinear control is downloaded for free to help people who are facing with some harmful virus inside their desktop computer.
Journal ArticleDOI
Stability and stabilization of infinite dimensional systems with applications
Journal Article
Hamiltonian formulation of distributed-parameter systems with boundary energy flow
TL;DR: In this paper, a Hamiltonian formulation of classes of distributed-parameter systems is presented, which incorporates the energy flow through the boundary of the spatial domain of the system, and which allows to represent the system as a boundary control Hamiltonian system.
Journal ArticleDOI
Exponential Stabilization of Port-Hamiltonian Boundary Control Systems via Energy Shaping
TL;DR: A major limitation of standard energy shaping plus damping injection control laws applied to linear port-Hamiltonian BCSs, namely the fact that only asymptotic convergence is assured, has been removed.
Uniform exponential stability approximations of semi-discretization schemes for two hybrid systems
TL;DR: In this paper , the authors propose a solution to solve the problem of the problem: this paper ] of "uniformity" and "uncertainty" of the solution.
References
More filters
Book
Applications of Lie Groups to Differential Equations
TL;DR: In this paper, the Cauchy-Kovalevskaya Theorem has been used to define a set of invariant solutions for differential functions in a Lie Group.
Journal ArticleDOI
Putting energy back in control
TL;DR: In this article, the authors show that standard PBC is stymied by the presence of unbounded energy dissipation, hence it is applicable only to systems that are stabilizable with passive controllers.
L2 Gain And Passivity Techniques In Nonlinear Control
TL;DR: L2 gain and passivity techniques in nonlinear control is downloaded for free to help people who are facing with some harmful virus inside their desktop computer.
Journal ArticleDOI
Hamiltonian formulation of distributed-parameter systems with boundary energy flow
TL;DR: In this paper, a Hamiltonian formulation of classes of distributed-parameter systems is presented, which incorporates the energy flow through the boundary of the spatial domain of the system, and which allows to represent the system as a boundary control Hamiltonian system.
Related Papers (5)
Fractional order control of flexible structures governed by the damped wave equation
Lea Sirota,Yoram Halevi +1 more