Finite-time control of periodic systems with event-triggering mechanisms. (English) Zbl 07907174
Summary: This study is concerned with the event-triggered finite-time control of periodic systems via a piecewise method. The continuous-time periodic system is formulated by finite-number linear time-invariant subsystems, of which the system parameters are determined by the piecewise approximation method. In consideration of the mitigation of network communication in networked control loops, some event-triggering mechanisms are designed in terms of the networks between the sensor (or controller) and the controller (or actuator). Three different event-triggered control schemes are designed for the networked periodic system. The finite-time stability of the resulting closed-loop system is analysed by using a Lyapunov function approach with a well-defined matrix-valued function. The controller gains depending on the piecewise parameters are thus designed with several matrix inequalities that can be solved by off-line procedures. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design scheme.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
MSC:
| 93D40 | Finite-time stability |
| 93C65 | Discrete event control/observation systems |
| 93B52 | Feedback control |
| 93C05 | Linear systems in control theory |
Keywords:
continuous time systems; Lyapunov methods; matrix algebra; periodic control; closed loop systems; stability; linear matrix inequalities; control system synthesis; time-varying systems; linear systems; event-triggering mechanisms; sensor; or controller; different event-triggered control schemes; networked periodic system; finite-time stability; controller gains; piecewise parameters; periodic systems; event-triggered finite-time control; piecewise method; continuous-time periodic system; finite-number; time-invariant subsystems; system parameters; piecewise approximation method; network communication; networked control loopsReferences:
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