Automatica, Vol.36, No.9, 1365-1372, 2000
Parametric absolute stability of multivariable Lur'e systems
The objective of this paper is to consider parametric absolute stability of multivariable Lur'e systems with uncertain parameters and constant reference inputs, Both state-space acid frequency-domain conditions an formulated to guarantee that the system remains stable despite the shirt of the equilibrium location caused by changes of uncertain parameters and reference inputs. The state-space condition can be tested using existing software tools for solving linear matrix inequalities. For testing the Popov-type frequency-domain condition, the value set software tool for the Interval Arithmetic can be used.
Keywords:absolute stability;nonlinear control systems;uncertain dynamical systems;equilibrium;Lyapunov function;linear matrix inequality;Popov criterion