Generalized controlled invariance for nonlinear systems

A general setting is developed which describes controlled invariance for nonlinear control systems and which incorporates the previous approaches dealing with controlled invariant (co-)distributions. A special class of controlled invariant subspaces, called controllability cospaces, is introduced. These geometric notions are shown to be useful for deriving a (geometric) solution to the dynamic disturbance decoupling problem and for characterizing the so-called fixed dynamics for the general input-output noninteracting cont.rol problem via dynamic compensation. These fixed dynamics are a major issue for studying noninteracting control with stability. The class of quasi-static state feedbacks is used

Controlled invariance of nonlinear systems:generalized concepts

A generalized setting is developed, which describes controlled invariance for nonlinear control systems and which incorporates the previous approaches in dealing with controlled invariant distributions. This generalized notion of controlled invariance is of major importance for the geometric description of dynamic feedback problems

Controlled invariance of nonlinear systems:generalized concepts

A generalized setting is developed, which describes controlled invariance for nonlinear control systems and which incorporates the previous approaches in dealing with controlled invariant distributions. This generalized notion of controlled invariance is of major importance for the geometric description of dynamic feedback problems

Generalized controlled invariance for nonlinear systems

A general setting is developed which describes controlled invariance for nonlinear control systems and which incorporates the previous approaches dealing with controlled invariant (co -) distributions. A special class of controlled invariant subspaces, called controllability cospaces, is introduced. These geometric notions are shown to be useful for deriving a (geometric) solution to the dynamic disturbance decoupling problem and for characterizing the so-called fixed dynamics for noninteracting control. These fixed dynamics are a central issue in studying noninteracting control with stability. The class of quasi-static state feedbacks is used

Static measurement feedback decoupling of nonlinear control systems

This paper gives necessary and sufficient conditions for solvability of the strong input-output decoupling problem by static measurement feedback for nonlinear control systems