Manual Uncertainty and Feedback, H Loop-Shaping and the V-Gap Metric

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Chiang, R. Robust Control Toolbox , 3rd ed. Glad, T. Control Theory: Multivariable and Nonlinear Methods. Hyde, R. Computing and Control Engineering Journal , 6 1 — McFarlane, D.

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New York: Springer. Vinnicombe, G. London: Imperial College Press. Zhou, K. Georgiou, T. Khargonekar A constructive algorithm for sensitivity optimization The optimization problem in Lemma 4 can be of periodic systems. SIAM J.

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Control and Optisolved in the same way as that in Lemma 3. Note mization, 25, Smith Optimal robustness in the gap metric. Glover, K. McFarlane Robust Parallel to the continuous-time case, this system's stabilization of normalized coprime factor plant controllability Grammian P F and the observability descriptions with Hoc-bounded uncertainty. Control, 34, The strictly proper discretetime controller for the normalized left-coprime where X , Y are the solutions of the Riccati equafactorization robust stabilization problem. IEEE tions Now Theorem 2 is clear. Control, 45, We can also get another formula for sup bp,c sym- Qiu, L.

Chen Multirate sampledc data systems: all Hoc suboptimal controllers and metric to 23 by considering the normalized right the minimum entropy controller.

Proceedings of the coprime factorization of P. Theorem 1. These two theorems actually give the same optimal robust stabilization margin.

Uncertainty and Feedback: H-[infinity] loop shaping and the v-gap metric

Qiu, L. Davison Pointwise gap metric on transfer matrices. In summary, the robust stabilization problem for a Control, 37, Stability under Qiu, 1 Obtain the solutions X, Y of the two Riccati simultaneous uncertainty in plant and controller.

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Systems f1 control Letters, 18, Kargonekar, K. Minto, C. Nett gin by Theorems 1 or 2.

Controller parametrization for time-varying 3 Use the algorithm in Georgiou and Kharmultirate plants. Control, gonekar, to get a solution of the minimization 35, Dahleh and L. Valavani HOC and H2 optimal controllers for periodic 4. Automatica, 30, In this paper, we present a state space solution Vinnicombe, G.

Frequency domain uncerto the robust stabilization problem of discrete-time tainty and the graph topology.


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