The determination of the proton rms charge radius with an accuracy of 10(-3) is the main goal of our experiment, opening the way to check bound-state QED predictions in hydrogen to a level of 10(-7). The principle is to measure the 2S(1/2)(F = 1) - 2P(3/2)(F = 2) energy difference in muonic hydrogen (mu(-)p) by infrared laser spectroscopy to a precision of 30 ppm. Very low-energy negative muons are stopped in 0.6 mbar of hydrogen gas, where, following the mu(-) atomic capture and cascade, 1% of the muonic hydrogen atoms form the metastable 2S state with a lifetime of 1.3 mu s. A 6 mu m laser pulse is used to drive the 2S -> 2P transition. When on resonance, the laser induces the transition, and the subsequent muonic deexcitation to the IS state emits a 1.9 keV x ray which is detected by avalanche photodiodes. The resonance frequency, and hence the Lamb shift and the proton charge radius, is determined by measuring the rate of laser-induced x rays as a function of the laser wavelength. Some details of the experiment, recent measurements and improvements will be presented.