Adaptive Regulation of Uncertain Linear Minimum Phase Systems with Unknown Exosystems

Some recent results on output regulation for linear systems allow for unknown exosystems, provided that the systems are known, and propose an adaptive internal model. We present a new result which applies to uncertain minimum phase linear systems with known bounds, known relative degree and high frequency gain sign and for exosystems with unknown frequencies with known bounds. A new robust adaptive output error feedback control algorithm is proposed which achieves asymptotic regulation with bounded closed loop signals. Exponential regulation is obtained when all of the exosystem frequencies are excited