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This paper focus on passivity and passive control for a cascade nonlinear system consisting of two switched systems. The asymptotic stability criterion for the cascade system is developed without requiring passivity of subsystem in the whole state interval. Passivity and stabilisation of the closed-loop system are achieved by co-designing an output feedback control law and a state-dependent switching signal if the full output information is measurable. While the output information of the first switched system are not available, the sampled integral stabilisation (SIS) technique which only adopts the output information and common energy function of the second one, is exploited to achieve passive control of two switched systems connected in a cascade way. Then, a particular case of cascade system where only one passive switched system exists is stabilised via SIS technique. Finally, the validity of the developed results is demonstrated via a plane articulation arm example. [ABSTRACT FROM AUTHOR]

This paper investigates the problem of the input-to-state practical stability for switched affine systems with time-varying delay and essentially bounded exogenous disturbance. The presence of affine terms makes switched systems have multiple switched equilibria and brings further difficulties in the stability analysis, control synthesis and avoiding Zeno behaviours compared with the non-affine switched systems. To overcome these difficulties, first, a convex combination approach is employed to acquire a set of attainable equilibria limited by the system matrix, the delay term matrix, and affine terms. Second, a mode-dependent event-triggered mechanism with sampled-data information is established, which not only ignores Zeno behaviour but also effectively reduces network resource waste. An input-to-state practical stability criterion is proposed for the closed-loop system by converting the event-triggered control system into a time-delay system and introducing a less conservative time-dependent Lyapunov–Krasovskii functional. Moreover, a sampled-data switching law and a set of executable controllers are also co-designed. Finally, an application example of the flyback DC–DC converter demonstrates the efficiency of the proposed result. [ABSTRACT FROM AUTHOR]