Graduate Student Seminar | Matthijs de Jong, Controllability and observability of nonlinear system

M3 4206

Speaker

Matthijs de Jong | Applied Math, University of Waterloo

Title

Controllability and observability of nonlinear system

Abstract

The controllability and observability of linear dynamical systems can be easily checked using the well-known Kalman rank conditions. However, many physical systems contain nonlinear behaviour. A common approach is to linearize the nonlinear dynamics and investigate the local properties of the system. Often are the controllability and observability properties the result of the nonlinear behaviour in nonlinear systems, which may be lost in the linearized dynamics. This requires other mathematical tools to analyse the controllability and observability of nonlinear systems.

In this talk, we attempt on generalizing the Kalman rank conditions for nonlinear systems. The systems that are considered have nonlinear internal dynamics, described by a vector field that depends on the states of the system.