Parallel-triggered observer-based output feedback stabilization of linear systems

Abstract Based on the parallel-triggered scheme, the stabilization problem is investigated for linear systems. By utilizing both the absolute and relative errors, a continuous parallel-triggered scheme is proposed. The proposed scheme reduces the number of data transmissions as well as maintains control performance. Under the proposed scheme, Zeno behavior can be excluded. Then, by using Lyapunov theory, sufficient criteria are established for the existence of state feedback controller and the observer-based controller. Next, a co-design approach is provided to obtain both weighting matrix of the triggered scheme and the gain of controller. Finally, the superiority of the proposed scheme is demonstrated by a numerical example.