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IEEE Transactions on Automatic Control, Vol.46, No.8, 1336-1342, 2001
Robust nonlinear integral control
It is well known from linear systems theory that an integral control law is needed for asymptotic set-point regulation under parameter perturbations. This note presents a similar result for a class of nonlinear systems in the presence of an unknown equilibrium due to uncertain nonlinearities and dynamic uncertainties. Both partial-state and output feedback cases are considered. Sufficient small-gain type conditions are identified for existence of linear and nonlinear control laws. A procedure for robust nonlinear integral controller design is presented and illustrated via a practical example of fan speed control.
Keywords:dynamic uncertainties;input-to-state stability;nonlinear systems;robust integral control;small-gain