Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 58, Issue 4, Pages 847-861Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2220443
Keywords
Control systems; digital control; event-triggered control; linear feedback; networked control systems
Funding
- Innovational Research Incentives Scheme under the VICI grant Wireless control systems: A new frontier in automation [11382]
- NWO (The Netherlands Organization for Scientific Research)
- STW (Dutch Science Foundation)
- European 7th Framework Network of Excellence Highly-complex and networked control systems (HYCON2) [257462]
- Air Force Office of Scientific Research (AFOSR) [FA9550-09-1-0203]
- National Science Foundation (NSF) [ECCS-0925637, CNS-0720842]
- Directorate For Engineering
- Div Of Electrical, Commun & Cyber Sys [0925637] Funding Source: National Science Foundation
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Event-triggered control (ETC) is a control strategy that is especially suited for applications where communication resources are scarce. By updating and communicating sensor and actuator data only when needed for stability or performance purposes, ETC is capable of reducing the amount of communications, while still retaining a satisfactory closed-loop performance. In this paper, an ETC strategy is proposed by striking a balance between conventional periodic sampled-data control and ETC, leading to so-called periodic event-triggered control (PETC). In PETC, the event-triggering condition is verified periodically and at every sampling time it is decided whether or not to compute and to transmit new measurements and new control signals. The periodic character of the triggering conditions leads to various implementation benefits, including a minimum inter-event time of (at least) the sampling interval of the event-triggering condition. The PETC strategies developed in this paper apply to both static state-feedback and dynamical output-based controllers, as well as to both centralized and decentralized (periodic) event-triggering conditions. To analyze the stability and the L-2-gain properties of the resulting PETC systems, three different approaches will be presented based on 1) impulsive systems, 2) piecewise linear systems, and 3) perturbed linear systems. Moreover, the advantages and disadvantages of each of the three approaches will be discussed and the developed theory will be illustrated using a numerical example.
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