H-infinity and H2 memory static output-feedback control design for uncertain discrete-time linear systems
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Universidade Federal de Minas Gerais
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This work investigates the problem of designing H∞ and H2 output-feedback controllers for discrete-time linear systems with time-invariant uncertainties. The proposed control law incorporates samples of the system output measurements over several instants of time, producing a controller with memory that can provide an improved performance to the closed-loop system. Sufficient parameter-dependent linear matrix inequality conditions are given for the computation of the gains associated with the incorporated measurements. A bound to the H∞ or the H2 norms of the closed-loop system is assured by means of a parameter-dependent Lyapunov matrix. Numerical examples illustrate the advantages of the proposed approach when compared to other methods from the literature, showing that better H∞ and H2 performance can be obtained by increasing the amount of information in the control law.
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Sistemas lineares, Sistemas de tempo discreto
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Static output-feedback, H∞ performance, H2 performance, uncertain linear systems, discrete-time systems, Robust H∞ static output-feedback design for time-invariant discrete-time polytopic systems, linear programming: an implementation of the homogeneous algorithm, Robust static output feedback stabilization for polytopic uncertain systems: Improving the guaranteed performance bound
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https://www.sciencedirect.com/science/article/pii/S2405896318327484