Co‐design of adaptive event‐triggered scheme and output feedback controller for a class of uncertain nonlinear systems

Abstract

AbstractThis article proposes a new co‐design adaptive event‐triggered (AET) robust control method based on output feedback to stabilize nonlinear systems with parametric uncertainties. The proposed event‐triggered mechanism (ETM) is obtained based on the finite gain stability. First, in the case of pre‐designed control gains, an AET robust controller is designed to guarantee the stability of the closed‐loop system. Then, a new approach is presented to co‐design the control gain and the adaptive event‐triggered mechanism, simultaneously. The proposed ETM which is presented in the form of linear matrix inequalities, leads to an increase in the average of inter‐event times. Moreover, the stability in the presence of the event‐based system and avoidance of the Zeno phenomenon have been ensured. Finally, to indicate the capability of the proposed methods, two examples are simulated. Simulation results show that in the proposed method the feasibility margin and the quality of the response are well maintained, and the number of samplings is reduced.