Regional stability analysis of interconnected systems with sampled-data control and actuator saturation

This paper considers the regional stability analysis problem of interconnected system, where the subsystem connects arbitrarily and is subject to sampled-data control and actuator saturation. By using a general sector-based relation to deal with the saturation parts, a lemma is proposed to perform the stability analysis after modeling the interconnected system as closed-loop sampled-data system with input saturation on the basis of well-possedness. Then a time dependent piecewise differential Lyapunov functional is constructed to derive sufficient asymptotic stability conditions, which are in terms of the parameter of individual subsystem, sampling interval, and the control bound. A numerical example is used to demonstrate the effectiveness of the results.