Abstract

It has been shown that for critically unstable systems with saturating actuators one can not simultaneously achieve the global internal stabilization and the global finite-gain L/sub p/ (l/sub p/) performance whenever the external input (disturbance) is not input-additive. However, one can achieve the global internal stabilization and global L/sub p/ (l/sub p/) stabilization (without finite-gain) for any p/spl isin/[1,/spl infin/). In this paper we show that for null controllable systems with actuators subject to amplitude and rate saturations, the L/sub p/ (l/sub p/) performance (without finite gain) with global internal stability can be achieved.

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