Title :
The Zames-Falb IQC for systems with integrators
Author :
Jönsson, U. ; Megretski, A.
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
fDate :
3/1/2000 12:00:00 AM
Abstract :
A feedback interconnection of a neutrally stable, linear time-invariant system and a nonlinearity with 0⩽xφ(x)⩽kx2 is called critical because the worst case linearization is at best neutrally stable. This characteristic makes the stability analysis of such systems particularly hard. It is shown that an integrator and a sector bounded nonlinearity can be encapsulated in a bounded operator that satisfies several useful integral quadratic constraints, which gives powerful tools for stability analysis of a general class of critically stable systems
Keywords :
Popov criterion; control nonlinearities; control system analysis; feedback; linear systems; robust control; Zames-Falb integral quadratic constraints; bounded operator; critically stable systems; feedback interconnection; neutrally stable linear time-invariant system; sector bounded nonlinearity; stability analysis; worst case linearization; Automatic generation control; Hydraulic actuators; Impedance matching; Neck; Perturbation methods; Pneumatic actuators; Shape memory alloys; Vibration control; Wires;
Journal_Title :
Automatic Control, IEEE Transactions on
