Journal
SYSTEMS & CONTROL LETTERS
Volume 134, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2019.104533
Keywords
Network-based switched linear systems; Event-triggering schemes; L-infinity control; Average dwell time
Funding
- National Natural Science Foundation of China [61873172, 61811530036, 61403261]
- Liaoning Revitalization Talents Program, China [XLYC1807101]
- Aeronautical Science Foundation of China [2016ZC54008]
- Natural Science Foundation of Liaoning Province, China [20180550517]
- Scientific Research Fund of Liaoning Provincial Education Department, China [L201709]
- Liaoning BaiQianWan Talents Program, China [2018-B-20]
- Young and Middle-aged Science and Technology Innovation Talent Support Program of Shenyang, China [RC170445]
- Open Fund of Science and Technology on Thermal Energy and Power Laboratory, China [TPL2017CA005]
- Young and Middle-aged Top-notch Talent Support Program of SAD, China [17091600105]
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This paper investigates the event-triggered L-infinity control for network-based switched linear systems with transmission delay. Necessary samplings of the feedback signal are determined by the improved periodic sampling based event-triggering schemes with extra design parameters, which can further reduce redundant signal transmissions and updates. Moreover, under the state feedback control, a time-delay closed-loop switched system is developed. Particularly, in the developing process an active packet loss technique is given to fully deal with the relationship between the network transmission delay and sampling period. Then by utilizing the piecewise Lyapunov functional method and average dwell time technique, sufficient conditions in terms of linear matrix inequalities (LMIs) are constructed to render the time-delay closed-loop switched system globally uniformly ultimately bounded (GUUB) and having an L-infinity performance. In addition, since the event-triggered instants and switching instants both exist in the system and may stagger with each other, their coupling effect on the stability analysis is clarified. Subsequently, the conditions for finding the parameters of state feedback gains and improved event-triggering schemes are presented. An example is provided to show the effectiveness of the proposed method. (C) 2019 Elsevier B.V. All rights reserved.
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