Weighted sensitivity minimization in systems with a single input delay: a state space solution

An operator Riccati equation solution, based on a Hilbert state space model is reduced to n/spl times/n matrix algebraic/differential Riccati equations and R/sup n/ compensator dynamics, via a two way analysis of an underlying differential game: both in the original delay system, in R/sup n/, and in a distributed parameter evolution model.

[1]  Gilead Tadmor,et al.  Input/output norms in general linear systems , 1990 .

[2]  G. Tadmor.  H ∞ interpolation in systems with commensurate input lags , 1989 .

[3]  K. Poolla,et al.  H ∞ control with transients , 1991 .

[4]  Gilead Tadmor.  Weighted Sensitivity Minimization in Systems with a Single Input Delay: A State Space Solution , 1997 .

[5]  A. J. Pritchard,et al.  The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation , 1985 .

[6]  G. Tadmor,et al.  An interpolation problem associated with H ∞ -optimal design in systems with distributed input lags , 1987 .

[7]  Sanjoy K. Mitter,et al.  Comments on "Weighted sensitivity minimization for delay systems" , 1987 .

[8]  G. Tadmor.  Robust control in the gap: a state-space solution in the presence of a single input delay , 1997, IEEE Trans. Autom. Control..

[9]  R. Ravi,et al.  H/sub /spl infin// control and estimation problems with delayed measurements: state space solutions , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[10]  Hans Zwart,et al.  An Introduction to Infinite-Dimensional Linear Systems Theory , 1995, Texts in Applied Mathematics.

[11]  S. Mitter,et al.  H ∞ 0E Sensitivity Minimization for Delay Systems , 1987 .

[12]  Gilead Tadmor,et al.  Neutral Equations and Associated Semigroups , 1995 .

[13]  P. Khargonekar,et al.  On the weighted sensitivity minimization problem for delay systems , 1987 .

[14]  K. Nagpal,et al.  ${\cal H}_\infty$ Control and Estimation Problems with Delayed Measurements: State-Space Solutions , 1997 .

[15]  Allen Tannenbaum,et al.  A skew Toeplitz approach to the H ∞ optimal control of multivariable distributed systems , 1990 .

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

[17]  R. B. VlNTER.  On the Evolution of the State of Linear Differential Delay Equations in M2: Properties of the Generator , 1978 .

[18]  Gilead Tadmor,et al.  Factorization and the Nehari theorem in time-varying systems , 1992, Math. Control. Signals Syst..

[19]  M. A. Kaashoek,et al.  The Nehari-Takagi problem for input-output operators of time-varying continuous time systems , 1994 .

[20]  M. C. Delfour,et al.  The Largest Class of Hereditary Systems Defining a C 0 Semigroup on the Product Space , 1980, Canadian Journal of Mathematics.

[21]  Allen Tannenbaum,et al.  Weighted sensitivity minimization for delay systems , 1985, 1985 24th IEEE Conference on Decision and Control.

[22]  Gilead Tadmor,et al.  The standard H ∞ problem and the maximum principle: the general linear case , 1993 .

[23]  A. Manitius,et al.  On Semigroups in Rn X Lp Corresponding to Differential Equations with Delays , 1978, Canadian Journal of Mathematics.