Title :
The iISS Property for Globally Asymptotically Stable and Passive Nonlinear Systems
Author :
Wang, Chen ; Weiss, George
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London
Abstract :
This paper investigates the integral input-to-state stability (iISS) property for passive nonlinear systems. We show that under mild technical assumptions, a passive nonlinear system which is globally asymptotically stable is also iISS. Moreover, the integral term from the definition of the iISS property has a very simple form (like an L 1 norm). We illustrate the result by proving that the drive-train of a wind turbine with quadratic torque control is iISS.
Keywords :
asymptotic stability; nonlinear control systems; power generation control; torque control; wind turbines; globally asymptotically stable; iISS property; input-to-state stability property; passive nonlinear systems; quadratic torque control; wind turbine; Asymptotic stability; Control theory; Lyapunov method; Nonlinear systems; Power engineering and energy; Terminology; Torque control; Wind turbines; Globally asymptotically stable; integral input-to-state stability (iISS); wind turbine;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.929465
