A note on the two disk mixed sensitivity design for control system with multiple output time delays

Abstract This note presents a tuning design method for output time delayed control systems that satisfies the two disk mixed sensitivity control design specification. The key features of this method are that it focuses on the two disk mixed sensitivity problem; it handles multiple time delays and allows the majority of the calculations to be carried out as in the time delay free case. A numerical example is given to show how the procedure works.

[1]  Hans Zwart,et al.  On /spl Hscr//sub /spl infin// control for dead-time systems , 2000 .

[2]  Hans Zwart,et al.  On 𝒽∞ control for dead-time systems , 2000, IEEE Trans. Autom. Control..

[3]  Gilead Tadmor,et al.  The standard H∞ problem in systems with a single input delay , 2000, IEEE Trans. Autom. Control..

[4]  Pramod Khargonekar,et al.  Weighted sensitivity minimization for delay systems , 1986, 1986 25th IEEE Conference on Decision and Control.

[5]  P. Khargonekar,et al.  Mixed sensitivity problem of delay-free systems and time-delay systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[6]  Elmer G. Gilbert,et al.  The Decoupling of Multivariable Systems by State Feedback , 1969 .

[7]  Sanjoy K. Mitter,et al.  A note on essential spectra and norms of mixed Hankel-Toeplitz operators , 1988 .

[8]  Allen Tannenbaum,et al.  Mixed-sensitivity optimization for a class of unstable infinite-dimensional systems , 1993 .

[9]  P. Falb,et al.  Decoupling in the design and synthesis of multivariable control systems , 1967, IEEE Transactions on Automatic Control.

[10]  T. Sugie,et al.  Inner—outer factorization for strictly proper functions with j w -axis zeros , 1991 .

[11]  Keiji Watanabe,et al.  3 Disk mixed sensitivity problem of time-delay systems , 1998 .

[12]  Keiji Watanabe,et al.  Coefficient Assignment Approach to Two Disk Mixed Sensitivity Problem of Time-Delay Systems , 1996 .

[13]  C. H. Anderson The linear differential-difference equation with constant coefficients , 1972 .

[14]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .