Abstract
Most physical systems are characterized by uncertain nonlinear models, which pose a problem for feedback synthesis. It is thus natural to use a linearized approximation of the system. The local linearization method, is of course, very attractive, because it replaces the nonlinear uncertain plant by a set of uncertain LTI plants, for which the design of feedback controllers has already been solved, for example via the techniques presented in Chapter 2. These techniques can be applied to systems which can be locally linearized, while operating within the vicinity of its operating point or with its operating point changing slowly.
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Yaniv, O. (1999). Synthesis of LTI Controllers for Nonlinear SISO Plants. In: Quantitative Feedback Design of Linear and Nonlinear Control Systems. The Springer International Series in Engineering and Computer Science, vol 509. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6331-7_5
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DOI: https://doi.org/10.1007/978-1-4757-6331-7_5
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