Abstract
In this chapter, we derive explicit controller parametrizations for the design of output feedback controllers for affine Linear Parametrically Varying (LPV) systems in the form of Linear Matrix Inequalities (LMIs). The main feature is that variables related to the LPV controller parameters are retained in the design inequalities, a fact that can be used to impose a simpler structure to the resulting controller as well as to develop applications in a number of control problems, such as mixed objective control problems and delay systems. We develop formulas using two approaches: one based on polytopes and another based on norm-bounded uncertainty models. We provide a comparison between these two approaches and their relation to existing results in the literature.
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de Oliveira, M.C. (2012). Explicit Controller Parametrizations for Linear Parameter-Varying Affine Systems Using Linear Matrix Inequalities. In: Mohammadpour, J., Scherer, C. (eds) Control of Linear Parameter Varying Systems with Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1833-7_4
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DOI: https://doi.org/10.1007/978-1-4614-1833-7_4
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