论文信息 - Weighted sensitivity minimization for delay systems

Weighted sensitivity minimization for delay systems

In this note we discuss the H¿-sensitivity minimitization problem for linear time-invariant delay systems. While the unweighted case reduces to simple Nevanlinna-Pick interpolation, the weighted case turns out to be much more complicated and demands certain functional - analytic techniques for its solution.

[1] K. Glover. All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[2] P. Khargonekar,et al. Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty , 1985 .

[3] G. Zames,et al. On H ∞ -optimal sensitivity theory for SISO feedback systems , 1984 .

[4] J. Doyle,et al. Linear control theory with an H ∞ 0E optimality criterion , 1987 .

[5] D. Sarason. Generalized interpolation in , 1967 .

[6] J. Pearson,et al. Optimal disturbance reduction in linear multivariable systems , 1983, The 22nd IEEE Conference on Decision and Control.

[7] D. Sarason. A remark on the Volterra operator , 1965 .

[8] M. Athans,et al. Robustness results in linear-quadratic Gaussian based multivariable control designs , 1981 .

[9] A. Tannenbaum,et al. Gain optimization for distributed plants , 1986 .

[10] G. Zames,et al. H ∞ -optimal feedback controllers for linear multivariable systems , 1984 .

[11] G. Zames. Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[12] Kameshwar Poolla,et al. Robust stabilization of distributed systems , 1986, Autom..

[13] Allen Tannenbaum,et al. On the H ∞ -optimal sensitivity problem for systems with delays , 1987 .