IEEE Transactions on Automatic Control, Vol.43, No.11, 1649-1653, 1998
Parametric absolute stability of Lur'e systems
The concept of parametric stability is extended to include Lur'e-type nonlinear control systems with uncertain parameters and constant reference inputs. Conditions for parametric absolute stability are derived, which guarantee that the system remains stable despite uncertainty of equilibrium location caused by parametric uncertainties and values of the reference input. The conditions can be tested by computing value sets using the Polygon Interval Arithmetic algorithm.
Keywords:ROBUST POPOV CRITERION