Robust passivity and feedback design for minimum-phase nonlinear systems with structural uncertainty
The paper deals with affine nonlinear systems of the form \[ \begin{aligned} \dot x & = f(x)+ g(x)u,\\ y & = h(x)\end{aligned} \] with \(0\) as ``ground state'' (\(f(0)= 0\), \(h(0)= 0\)) and \(f\), \(g\), \(h\) smooth mappings. Passivity and robust passivity are revisited. Further, feedback equivalence to a robust strictly passive system is described. After introducing robust minimum phase systems it is shown that these systems are globally asymptotically stabilizable. The results obtained for systems of relative degree one are then extended for higher relative degrees.
scientific article; zbMATH DE number 1325704