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For the constant linear system and a given quadratic performance index, study the optimal guaranteed cost analysis and control problems based on the linear matrix inequality (LMI) method. Through some lemmas, the conditions of the guaranteed cost state feedback control are converted into a problem of LMI solvability. By solving the LMI, the guaranteed cost controller parameters can be obtained. In...
This paper investigates the problem of receding horizon controller design for sampled-data systems with parameter uncertainties. Attention is focused on the design of predictive controller which guarantees the asymptotical stability of the closed-loop sampled-data system and reduces the quadratic performance index for all admissible parameter uncertainties. Sufficient condition for the solvability...
Aiming at the difficulty of designing weighting matrices for linear quadratic regulator (LQR), a multi-objective evolution algorithm (MOEA) based approach is proposed. The LQR weighting matrices, state feedback control rate and optimal controller are obtained by means of establishing the multi-objective optimization model of LQR weighting matrices and applying MOEA to it, which makes control system...
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