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access icon free Finite-time control of periodic systems with event-triggering mechanisms

© The Institution of Engineering and Technology
Received 17/07/2019, Accepted 02/12/2019, Revised 24/10/2019, Published 10/12/2019

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.

Inspec keywords: linear matrix inequalities; linear systems; time-varying systems; continuous time systems; closed loop systems; periodic control; stability; matrix algebra; control system synthesis; Lyapunov methods

Other keywords: or controller; event-triggered finite-time control; piecewise parameters; system parameters; network communication; event-triggering mechanisms; periodic systems; different event-triggered control schemes; piecewise approximation method; controller gains; time-invariant subsystems; finite-time stability; finite-number; piecewise method; continuous-time periodic system; sensor; networked periodic system; networked control loops

Subjects: Algebra; Control system analysis and synthesis methods; Linear control systems; Stability in control theory

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