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Event-triggered control of switched linear systems. (English) Zbl 1373.93216

J. Franklin Inst. 354, No. 15, 6451-6462 (2017); corrigendum ibid. 355, No. 8, 3826-3827 (2018).
Summary: This paper presents an event-triggered sampling mechanism and develops a sampled-data-based stabilizer for switched linear systems. First of all, state estimators are designed for individual subsystems of the switched system. Secondly, sampling is triggered only if the error between estimated state and sampled state violates a dynamic threshold, and a sampled-data-based controller is designed for the overall switched system to achieve stabilization provided that average dwell time conditions of the switched system are satisfied. Lastly, a numerical example is given to illustrate the effectiveness of the proposed method.

MSC:

93C65 Discrete event control/observation systems
93C57 Sampled-data control/observation systems
93D99 Stability of control systems
93C05 Linear systems in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
Full Text: DOI

References:

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