H-infinity static output-feedback controllers with past outputs for discrete-time uncertain linear systems
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Universidade Federal de Minas Gerais
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This work investigates the problem of designing robust H∞ static output-feedback controllers for uncertain linear discrete time-invariant systems where all matrices are supposed to be affected by polytopic uncertainties. The proposed control law employs a fixed number of past measured outputs, thus enhancing the dynamics of the closed-loop system and producing controllers with memory. The method for synthesizing the memory controllers relies on a two-phase algorithm. In the first phase a parameter-dependent state-feedback gain is designed and, then, it is used as input to the second phase in which the robust memory static output-feedback controller is synthesized. Numerical examples illustrate the advantages of the proposed approach in terms of H∞ performance when compared to other methods available in the literature.
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Sistemas lineares, Otimização combinatória
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Symmetric matrices , Linear systems , Robustness , Closed loop systems , Linear matrix inequalities , Optimization , Uncertain systems, Linear System , Uncertain Systems , Output Feedback Control , Static Output Feedback Controller , Past Outputs , Uncertain Discrete-time Systems , Optimal Control , Closed-loop System , Robust Control , Memory Control , Time-invariant Systems , Linear Time-invariant Systems , Sufficient Conditions , Numerical Experiments , Performance Criteria , System Matrix , Constant Matrix , Linear Matrix Inequalities , Transfer Matrix , Output Matrix , Phase Method , Phase Of The Algorithm , Linear Time-invariant , Number Of Optimization Variables , System Of Norms , Two-phase Method
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https://ieeexplore.ieee.org/document/8431497