Interval observer design for switched systems by linear programming method

This paper is concerned with the interval observer for switched system. The frame of interval observer is designed by the theory of positive system and Lyapunov stability, and the aim is to achieve both the positivity and exponential stability of the corresponding error system. Different from the current works, multiple linear copositive Lyapunov function is employed for stability analysis and the sufficient conditions for the existence of the interval observer are derived by linear programming forms. Finally, two numerical examples are provided to show the effectiveness of the designed observer.