Title :
On the L2-gain of a double integrator with feedback loop saturation nonlinearity
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
fDate :
3/1/2001 12:00:00 AM
Abstract :
We consider the open problem of whether there exists finite L2 gain in each channel of a double integrator in feedback interconnection with a saturation nonlinearity. It has been shown by Liu-Chitour-Sontag (1996) that the L2 gain from input to the output of the first integrator is infinite. In this paper, by constructing a special excitation, we show that the L2 gain from input to the output of the second integrator is also infinite
Keywords :
control nonlinearities; feedback; nonlinear systems; double integrator; feedback loop; integral quadratic constraint; saturation nonlinearity; Actuators; Control systems; Feedback loop; Integral equations; Output feedback; Performance analysis; Position control; Power system interconnection; Robustness; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
