Strict passivity and feedback passification of switched discrete-time affine nonlinear systems using linearization

In this paper, local strict passivity of a switched discrete-time affine nonlinear system is investigated using the linearization technique. The dwell-time dependent storage function (DTDSF) is employed to analyze passivity and solve feedback passification problem. First, local strict passivity sufficient conditions are established in terms of LMIs, which are all convex in linearized system matrices. And then, feedback passification of a switched discrete-time affine nonlinear system is addressed when the dynamic system is not strictly passive. A numerical example is given to illustrate that controller design and switching law design can lumped into a unified design step to make a non-passivity switched system passive.