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This research presents an efficient digital sliding controller for adaptive power supply regulation. The controller saves power and energy by operating at lower frequencies and lowering voltage. It has applications in microprocessors, DSPs, and high-speed I/Os.
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An Efficient Digital Sliding Controller for Adaptive Power-Supply Regulation Jaeha Kim and Mark Horowitz
Adaptive Power-Supply Regulation • Operating at lower frequency saves power, but not energy. a Power ~ V2f, Energy ~ V2. • Adaptive power-supply regulation saves both by lowering voltage, too. • Applications: mPs, DSPs, and high-speed I/Os. J. Kim and M. Horowitz
Adaptive Power-Supply Regulator J. Kim and M. Horowitz
The Controller • Switching power supplies regulate voltage. a Analog controllers • Adaptive power-supplies regulate delay. a Digital controllers • This work presents a simpler digital controller using sliding control. J. Kim and M. Horowitz
Outline • Introduction • Sliding Control • Digital Implementation • Measurement Results • Conclusions J. Kim and M. Horowitz
Phase Portraits J. Kim and M. Horowitz
Sliding Control (1) • Control law: dV/dt + (V-Vref)/t = 0. • Effectively a first-order system with time constant t. J. Kim and M. Horowitz
Sliding Control (2) J. Kim and M. Horowitz
Digital Sliding Controller (1) Digital controller needs to estimate df/dt in: df/dt + (f-fref)/t = 0. • Approach 1: measure the change in f for a fixed time duration. • Approach 2: measure the elapsed time Dt for a fixed change in f, Df. afits the digital implementation better J. Kim and M. Horowitz
Digital Sliding Controller (2) • The original sliding control law was: df/dt + (f-fref)/t =? 0. • Use df/dt = Df/Dt, and rearrange: Dt =? -tDf/(f-fref) = -Nt/(f-fref). • Measure Dt using a counter clocked at |f-fref|, i.e. Dt = N/|f-fref|, then: N =? Nt. J. Kim and M. Horowitz
Digital Sliding Controller (3) J. Kim and M. Horowitz
Sensor Implementation J. Kim and M. Horowitz
Chip Prototype • 0.25-mm CMOS • Controller area: 0.7x0.5mm2. • On-chip power transistors: 4.4mm(P), 2.2mm(N). • Off-chip components: 15.2mH (L), 21.6mF (C). J. Kim and M. Horowitz
Measurement Results (1) J. Kim and M. Horowitz
Measurement Results (2) • Step change in fref • Step change in load current 150MHz 370MHz 150MHz 0mA 80mA 0mA J. Kim and M. Horowitz
Conclusions • Sliding control is robust and fast in transients. • The reformulated control law enables simple digital implementation. • Scalability of the controller power keeps the efficiency high under low loads. • A new sensor based on a ring-oscillator further reduces the area. J. Kim and M. Horowitz
Acknowledgements • David Su, Sotirios Limotyrakis, & Wonjoon Choi • Dean Liu, Stefanos Sidiropoulos, Gu-Yeon Wei, Ken Mai, & Dan Weinlader. • Behzad Razavi & Brian Brandt • National Semiconductor • Sookyung Kim J. Kim and M. Horowitz