  Projection-based Controllers (PBCs) are currently gaining traction in both
scientific and engineering communities. In PBCs, the input-output signals of
the controller are kept in sector-bounded sets by means of projection. In this
paper, we will show how this projection operation can be used to induce useful
passivity or general dissipativity properties on broad classes of (unprojected)
nonlinear controllers that otherwise would not have these properties. The
induced dissipativity properties of PBC will be exploited to guarantee
asymptotic stability of negative feedback interconnections of passive nonlinear
plants and suitably designed PBC, under mild conditions. Proper generalizations
to so-called $(q,s,r)$-dissipativity will be presented as well. For
illustrating the effectiveness of PBC control design via these passivity-based
techniques, two numerical examples are provided.
