Abstract
The robust stability and stabilizability for continuous-time repetitive control systems with stable multiplicative perturbation are investigated by a matrix factorization approach. A sufficient condition for the robust stability is obtained based on the H∞ norm of the loop transfer function of an equivanlent system. The robust stabilizability problem can be reduced to a μ-synthesis or general distance problem. The sufficient condition for the existence of a controller which assures the robust stability is derived. It is also shown that the low pass filter with any band width can be designed for stable plants with any perturbation or minimal phase plants with perturbation whose gain is less than one.