Piecewise continuous observer design used for networked or visual servoing control systems

This paper presents a new type observer design by using only the sampled delayed measurements where the delay value is different of the sampling period. This proposed piecewise continuous observer, called Piecewise Continuous Systems and derived by using the theory of a particular hybrid systems characterized by autonomous switchings and controlled impulses, has a very simple structure and can be easily implemented to the network control systems or visual servoing systems. The stability of this proposed observer is also analyzed and demonstrated. To show the proposed observer performance, a comparison with a Lyapunov-Krasovskii techniques and descriptor representation based observer is realized via a numerical example.