Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This note introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input nonlinear systems of dimension n/spl ges/2. The oscillations are associated to a limit cycle that is produced in a second-order subsystem by means of an appropriate feedback law. Then, the controller is extended to the full system by a backstepping procedure. It is shown that the closed-loop system turns out to be generalized Hamiltonian and that the limit cycle can be thought as born in a Hopf bifurcation after moving a parameter.
['Javier Aracil', 'Francisco Gordillo', 'Enrique Ponce']
I am writing a research paper on a idea Stabilization of oscillations through backstepping in high-dimensional systems
[{"from": "human", "value": "I am writing a research paper on a idea Stabilization of oscillations through backstepping in high-dimensional systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This note introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input nonlinear systems of dimension n/spl ges/2. The oscillations are associated to a limit cycle that is produced in a second-order subsystem by means of an appropriate feedback law. Then, the controller is extended to the full system by a backstepping procedure. It is shown that the closed-loop system turns out to be generalized Hamiltonian and that the limit cycle can be thought as born in a Hopf bifurcation after moving a parameter."}]