here is the link to power electronics lab at UCI
http://www.eng.uci.edu/pel/pel.html
their publications:
Z. Lai and K. Smedley "A New Extension of One-Cycle Control and its Application to dc-ac converters," IEEE Transactions on Power Electronics, Jan. 1996, Vol. 11, No.1, P99-104.
M. Smith and K. Smedley, "A New PWM Controller with One-Cycle Response", IEEE Transactions on Power Electronics. Jan. 1999.
M. Smith and K. Smedley, ìPWM Controller with One-Cycle Response,î US Patent 6,084,450, July 4, 2000.
Mark Smith founded a company turning it into product:
http://www.powerphysics.com/
they have pretty good white paper:
**broken link removed**
Recent effort to implement one-cycle-control in IC level, see:
An integrated one-cycle control buck converter with adaptive output and dual loops for output error correction
Dongsheng Ma; Wing-Hung Ki; Chi-Ying Tsui;
Solid-State Circuits, IEEE Journal of , Volume: 39 , Issue: 1 , Jan. 2004
Pages:140 - 149
Class D audio amp needs several possible improvements:
1. distortion: by higher modulation freq(stupid), by pre-disortion in PWM (I think about this idea for a while but just don't have time to rigorously pursue it myself; given the possibility of either in digital or analog domain, you can write quite a few papers), by white noise injection (my other interesting idea, try to lower harmonic), or by multiple level modulation(unipolar, bipolar, tri-state, quad, ....), etc.
2. response: fast, it's more about control scheme. You can design numerous nonlinear controllers, how about fuzzy controller? or sliding mode controller?
3. size: reduce bulky external conponents, check Virginia Polytech Power Electronics Center recent work on modulization and high integration of power parts (active and passive). If possible on chip level.
4. efficiency: not so important in class D, but just as "usually" mentioned by professors. You can try some new softswitch topology.
I think if you can combine all these, pretty much a Ph.D. dissertation is ready. Good luck.