
Some nonlinear control problems in industry are successfully solved using gain-scheduling, a method primarily based on intuition from control design for linear systems. Linear parameter varying system (LPV) theory, introduced by Shamma et al. (1992), can be used to simplify some of the interpolation and realization problems associated with conventional gain-scheduling. However, many questions about the relevance of LPV theory to nonlinear control design remain. This paper illustrates, via examples, some of the issues.
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