Abstract
This paper is concerned with the problem of observed-based event-triggered control for switched linear systems with time-varying delay and exogenous disturbance. First by employing a state observer, an observer-based event-triggered controller is designed to guarantee the finite-time boundedness and finite-time stabilization of the resulting dynamic augmented closed-loop system. Then based on the Lyapunov-like function method and the average dwell time technique, some sufficient conditions are given to ensure the finite-time boundedness and finite-time stabilization, respectively. Furthermore, the lower bound of the minimum interevent interval is proved to be positive, which thus excludes the Zeno behavior of sampling. A numerical example is finally exploited to verify the effectiveness and potential of the achieved control scheme.
Highlights
Speaking, hybrid systems are such a class of systems where continuous-time dynamics and discrete-time dynamics interact
Most of the existing literatures on stability and stabilization of switched systems are focused on Lyapunov asymptotic stability, which is defined over an infinite time interval
The design problem of the observed-based event-triggered control has been addressed for switched linear systems with time-varying delay and norm-bounded xT(t)Rx(t) γ(t) ||e(t)||
Summary
Hybrid systems are such a class of systems where continuous-time dynamics and discrete-time dynamics interact. In practice, one may be only interested in a bound of system trajectories over a fixed short time interval, as there may exist such a case that a system is Lyapunov stable but completely of no practical use if it possesses undesirable transient performances, such as the systems with saturation elements [18, 19]. Time-delay is a common phenomenon arising in various practical applications, for example, networked control systems, chemical engineering systems, and power systems [24,25,26,27,28]. Time delays are the inherent characteristics of a large number of physical plants and the Mathematical Problems in Engineering big sources of instability and poor performances for switched systems [29] as well. It is nontrivial to investigate the control problem for switched systems with time delays
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