Zonotopic interval estimation for networked switched positive systems with asynchronous switching

This paper addresses the zonotopic interval estimation for networked switched positive systems with frequent asynchronism. Compared with the existing results, this paper fully considers the problems of redundant data transmission, high computational complexity, asynchronism and low estimation accuracy, and proposes an event-triggered zonotopic interval estimation scheme for switched positive systems. Firstly, we propose an event-triggered mechanism for the considered system, which is designed based on the 1-norm. Based on this, some sufficient conditions are established to ensure the stability and ℓ_∞ performance for the augmented error system, and the positivity is guaranteed for the asynchronous observer and error system. Then, the permissible mode-dependent average dwell time switching signal and positive asynchronous observers are jointly designed for the underlying system. Additionally, a zonotopic interval estimation method is developed to address the state interval estimation under asynchronous switching. Finally, the effectiveness of our presented estimation approach is verified through an age-structured population models example.