Abstract
This paper presents some results on the stability and /spl Hscr//sub /spl infin// performance of nonlinear feedback systems with gain scheduled controller implemented by /spl Dscr/-implementation methodology: (1) For stability, provided the scheduling variable is sufficiently slowly varying and the local linear closed loop systems satisfy a uniform stability constraint, the trajectory of the closed loop nonlinear system remains bounded; and (2) For /spl Hscr//sub /spl infin// performance, if the local linear controllers are designed to satisfy an /spl Hscr//sub /spl infin// norm constraint, then the closed loop nonlinear system also satisfies an /spl Hscr//sub /spl infin// norm inequality. The results use properties of /spl Dscr/-implementation methodology. An example is included to illustrate the ideas.
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