Paper Info
Title
On Backstepping Boundary Control For A Class Of Linear Port-Hamiltonian Systems
Abstract
Backstepping boundary control is investigated for a class of linear port-Hamiltonian systems. It is shown that by considering as target system an exponentially stable dissipative PHS, i.e. a PHS with a linear dissipation term and homogeneous boundary conditions, a coordinate transformation based on a multiplicative operator suffices to map the open-loop system into the target system. The condition for the existence of the transformation is algebraic. Hence, the backstepping transformation and the associated matching condition are simpler than the conventional ones that considers Volterra integral terms and kernel conditions in the form of partial differential equations. Since the controller has been developed for a general class of linear PHS it is applicable to a large class of physical systems, as for instance transport, beam and wave equations. The result is illustrated on the examples of a transport equation and a vibrating string on a 1D spatial domain.
Year
Venue
Field
2017
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
Applied mathematics,Boundary value problem,Backstepping,Computer science,Physical system,Control theory,Dissipative system,Hamiltonian system,Exponential stability,Wave equation,Partial differential equation
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Hector Ramirez1142.28
Hans Zwart25310.37
Yann Le Gorrec34311.22
Alessandro Macchelli423825.59