This paper is concerned with the problems of modeling, stabilization, and H ∞ control for continuous-time singular networked cascade control systems (SNCCSs) with state delay and event-triggered control. An event-triggered scheme is firstly introduced to this system for utilizing the network bandwidth resources efficiently. Considering the effects of both time-varying network-induced delay and event-triggered control, a singular networked cascade control system (SNCCS) model is established. By constructing a suitable Lyapunov-Krasovskii functional, sufficient condition of admissibility for this system is proposed, and the co-design method of event-triggered parameter, primary state feedback controller and secondary state feedback controller are also derived. Furthermore, H ∞ control is concerned for SNCCS via linear matrix inequality (LMI) technique. Finally, a simulation example considering a heating furnace with the structure of SNCCS and event-triggered control is given to illustrate the effectiveness of the proposed method, where it can be seen this method is superior to the existing one with periodic control.INDEX TERMS Cascade control, singular systems, networked control systems, event-triggered control, stabilization, H ∞ control.
This paper presents an energy efficient wireless transmitter (TX) for neural implants. It utilizes inductive coupling with de-Q'ed TX inductor to achieve 200 Mb/s throughput. An ultra-low power injection-locked phase lock loop with background frequency calibration generates a clean 200-MHz TX clock from a 10-MHz reference. The TX chip is fabricated in TSMC 65-nm CMOS process, and the 10 × 10 mm 2 coupled inductors are implemented on two-layer printed circuit boards. A custom receiver is fabricated in the same CMOS process to facilitate measurements. The prototype transceiver achieves 5e-11 bit error rate (BER) over the 11.8-mm-thick skull of an eight-week primordial piglet carcass and <1e-12 BER over 11-mm air gap. The entire TX chip consumes 300 µW from a single 0.5 V supply. The energy efficiency of the TX is 1.5 pJ/b. Index Terms-Brain machine interface, biomedical implant, inductive coupling, injection locking, transcranial wireless links, ultra-low power transceiver.
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