Observer based robust control of uncertain switched linear systems with asynchronous switching in the presence of disturbance

This paper focuses on the control of uncertain switched linear systems with asynchronous switching in the presence of disturbance using an observer with average dwell time. For this purpose, firstly, an appropriate model for the system is introduced, The maximum allowed time of non-synchronism, the minimum average dwell time and the necessary conditions for system stability are determined, using pseudo-Lyapunov functions. The novelty of this research is taking into account several undesirable parameters, i.e. asynchronous switching, uncertainty, disturbance and lack of access to several variables, simultaneously. Considering these factors together increase the complexity of the problem. Finally, the effectiveness of the proposed algorithm is shown through the implementation of the method on the system of a flying object in the MATLAB simulation environment.