Static output-feedback stabilization of discrete-time linear parameter-varying systems under actuator saturation
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Universidade Federal de Minas Gerais
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This paper introduces a novel local synthesis condition for gain-scheduling static output-feedback control of discrete-time linear parameter-varying (LPV) systems under actuator saturation and state constraints. The proposed condition is formulated as a set of parameter-dependent linear matrix inequalities that are incorporated into a convex optimization procedure to provide an enlarged estimate of the region of attraction of the closed-loop equilibrium. In contrast with related works, the proposed approach allows handling a wider class of LPV systems since no rank condition is required to employ the so-called equality constraints.
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Gain-scheduling technique based on linear parameter-varying (LPV) systems is an effective methodology to derive stability analysis and control synthesis conditions for classes of nonlinear systems and linear systems with bounded time-varying parameters. These conditions, generally formulated in the form of convex optimization problems subject to linear matrix inequality (LMI) constraints, have been successfully applied to several engineering applications. Hence, the gain-scheduling control of LPV systems is a topic of both theoretical and practical relevance., Controle de Processos, Realimentação estática de saída, Sistemas com saturação, Sistemas LPV, Sistemas Lineares Variantes no Tempo
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https://onlinelibrary.wiley.com/doi/full/10.1002/rnc.6106