Abstract | ||
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This paper considers the design of smooth feedback regulators for control affine nonlinear systems. The reference dynamics to track is generated by a dissipative Hamiltonian system. The objective of the paper is to show that damping assignment can be achieved by regulation, thus avoiding the solution of the matching equations when the expression of an energy function is unknown. The proposed approach consists in computing an expression for a local error potential and use it to construct a smooth feedback regulator. Conditions for the existence of a stabilizing regulator are given. Applications to predator-prey systems are presented to illustrate the construction. |
Year | DOI | Venue |
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2010 | 10.1109/CDC.2010.5717493 | Decision and Control |
Keywords | Field | DocType |
control system synthesis,feedback,nonlinear control systems,partial differential equations,predator-prey systems,stability,control affine nonlinear system,damping assignment,energy function,local dissipative Hamiltonian system,local error potential,predator-prey systems,smooth feedback regulator design,stabilizing regulator | Regulator,Mathematical optimization,Affine nonlinear system,Nonlinear system,Hamiltonian (quantum mechanics),Computer science,Control theory,Dissipative system,Hamiltonian system,Partial differential equation | Conference |
ISSN | ISBN | Citations |
0743-1546 | 978-1-4244-7745-6 | 0 |
PageRank | References | Authors |
0.34 | 9 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicolas Hudon | 1 | 51 | 8.93 |
M. Guay | 2 | 283 | 41.27 |