Bumpless Transfer Control of Asynchronously Switched Systems: A Composite Switching Event‐Triggered Control Approach

ABSTRACT This paper is primarily devoted to investigating the problem of event‐triggered bumpless transfer (BT) control for a class of continuous‐time switched systems under mode‐dependent average dwell time (MDADT) switching laws. First, a composite switching event‐triggered mechanism (CSETM) is proposed. In comparison with the existing event‐triggered mechanism (ETM), the proposed CSETM offers two distinct advantages: firstly, the embedded waiting time mechanism can directly eliminate the Zeno phenomenon; secondly, the mechanism's ability to switch according to the magnitude of control bumps enables the system to achieve satisfactory BT performance while conserving system resources. Meanwhile, the asynchronous phenomenon between the subsystem switching instants and event‐triggered instants is incorporated into the analysis framework, which renders the proposed control scheme more practical yet more challenging for the addressed systems. Second, a generalized BT criterion is established in terms of the control input amplitude at switching instants. On this basis, utilizing the composite switching Lyapunov functional method, sufficient conditions are derived to ensure the global uniform exponential stability (GUES) and desired BT performance of the considered systems. Finally, the effectiveness of the proposed method is validated through an illustrative example of a switched RLC circuit.