An observer for linear systems with randomly-switching measurement equations

Based on the algebraic transformation of a randomly switched linear measurement equation to a nonlinear, yet deterministic equation, an asymptotic observer is constructed for a class of systems encountered in manufacturing, telecommunications, and embedded control applications. The observer is shown to be locally and exponentially stable for any arbitrary switching sequence, and combines the algebraic transformation with the introduction of a Newton observer defined on the resulting nonlinear measurement equation.