Frequency domain H∞ - Optimization of multivariate feedback system

U. Shaked; I. Yaesh

doi:10.1109/ICCON.1989.770636

Frequency domain H_∞ - Optimization of multivariate feedback system

U. Shaked, I. Yaesh

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to conference › Paper › peer-review

Abstract

A solution to the H_∞-minimization problem that arises in multivariable optimal discrete-time stochastic control system design is derived. The optimization procedure yields a minimum H_∞-norm of the transfer function matrix that relates the external signal which generates the reference signal, the input disturbance and the measurement noise with the weighted versions of the tracking error and the inputs to the plant and the controller. The solution of the optimization problem is carried out entirely in the frequency domain, and by using the generalized spectral factorization method an internally stabilizing proper controller is achieved without using the YBJ parametrization method[15]. The minimization problem treats the most general multi-input-multi-output, one degree of freedom case, where both the stability robustness and the system performance are taken into account.

Original language	English
Pages	825-831
Number of pages	7
DOIs	https://doi.org/10.1109/ICCON.1989.770636
State	Published - 1989
Event	1989 IEEE International Conference on Control and Applications, ICCON 1989 - Jerusalem, Israel Duration: 3 Apr 1989 → 6 Apr 1989

Conference

Conference	1989 IEEE International Conference on Control and Applications, ICCON 1989
Country/Territory	Israel
City	Jerusalem
Period	3/04/89 → 6/04/89

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10.1109/ICCON.1989.770636

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abstract = "A solution to the H∞-minimization problem that arises in multivariable optimal discrete-time stochastic control system design is derived. The optimization procedure yields a minimum H∞-norm of the transfer function matrix that relates the external signal which generates the reference signal, the input disturbance and the measurement noise with the weighted versions of the tracking error and the inputs to the plant and the controller. The solution of the optimization problem is carried out entirely in the frequency domain, and by using the generalized spectral factorization method an internally stabilizing proper controller is achieved without using the YBJ parametrization method[15]. The minimization problem treats the most general multi-input-multi-output, one degree of freedom case, where both the stability robustness and the system performance are taken into account.",

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AB - A solution to the H∞-minimization problem that arises in multivariable optimal discrete-time stochastic control system design is derived. The optimization procedure yields a minimum H∞-norm of the transfer function matrix that relates the external signal which generates the reference signal, the input disturbance and the measurement noise with the weighted versions of the tracking error and the inputs to the plant and the controller. The solution of the optimization problem is carried out entirely in the frequency domain, and by using the generalized spectral factorization method an internally stabilizing proper controller is achieved without using the YBJ parametrization method[15]. The minimization problem treats the most general multi-input-multi-output, one degree of freedom case, where both the stability robustness and the system performance are taken into account.

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Y2 - 3 April 1989 through 6 April 1989

ER -

Frequency domain H_∞ - Optimization of multivariate feedback system

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