Self-Triggering Under State-Independent Disturbances

• Published in: IEEE transactions on automatic control Vol. 55; no. 6; pp. 1494 - 1500
• Main Authors: Xiaofeng Wang, Lemmon, Michael D
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptative systems; Application specific integrated circuits; Applied sciences; Computer science; control theory; systems; Control systems; Control theory. Systems; Delay; Disturbances; Exact sciences and technology; Expansion; Field programmable gate arrays; Finishing; Hardware; Norms; Real time systems; real-time control systems; self-triggered; Stability; State feedback; Tasks; Uncertainty; {\cal L}_{2} stability; Sampled system; self-triggered; Feedback regulation; L2 approximation; State dependence; Real time; L; Triggering; Dead beat control; Finishing; stability; real-time control systems
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2045697

This note extends the prior work in L 2 stability of self-triggered feedback systems, where the next task release time and finishing time are predicted based on the sampled states. A self-triggering scheme is proposed, which relaxes the assumption in the prior work that the magnitude of the process noise is bounded by a linear function of the norm of the system state. We show that the sample periods generated by this scheme are always greater than a positive constant. We also provide state-based deadlines for delays and propose a way that may enlarge those deadlines without breaking L 2 stability.