A Generalized Eigenproblem Solution for Singular H2 and H∞ Problems

[1]  B. Hanzon,et al.  Singular filtering problems , 1989 .

[2]  P. Dooren.  The generalized eigenstructure problem in linear system theory , 1981 .

[3]  A. Laub,et al.  The linear-quadratic optimal regulator for descriptor systems , 1987 .

[4]  I. Petersen.  Disturbance attenuation and H^{∞} optimization: A design method based on the algebraic Riccati equation , 1987 .

[5]  Imad M. Jaimoukha,et al.  All solutions to the four block general distance problem , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[6]  M. G. Safonov,et al.  Imaginary-axis zeros in multivariable H ∞ 0E-optimal control , 1987 .

[7]  B. Friedland.  Limiting Forms of Optimum Stochastic Linear Regulators , 1971 .

[8]  F. Lewis.  A survey of linear singular systems , 1986 .

[9]  A. A. Stoorvogel,et al.  The singular control problem with dynamic measurement feedback , 1991 .

[10]  Yu-Chi Ho,et al.  Decentralized stabilization via game theoretic methods , 1977, Autom..

[11]  Uri Shaked,et al.  The LQG optimal regulation problem for systems with perfect measurements: explicit solution, properties, and application to practical designs , 1988 .

[12]  Michael G. Safonov,et al.  Zero cancelling compensators for singular control problems and their application to the inner–outer factorization problem , 1992 .

[13]  M. Safonov,et al.  Simplifying the H/sup infinity / theory via loop shifting , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[14]  L. Silverman,et al.  System structure and singular control , 1983 .

[15]  Tohru Katayama,et al.  On the Linear Quadratic Regulator for Descriptor Systems , 1992 .

[16]  P. Dooren.  The Computation of Kronecker's Canonical Form of a Singular Pencil , 1979 .

[17]  Toshiharu Sugie,et al.  H∞ control problem with jω-axis zeros , 1992, Autom..

[18]  T. Kailath,et al.  Eigenvector chains for finite and infinite zeros of rational matrices , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[19]  I. Postlethwaite,et al.  A treatment of jw-axis model-matching transformation zeros in the optimal H/sup 2/ and H/sup infinity / control designs , 1989 .

[20]  M. Safonov,et al.  SIMPLIFYING THE H" THEORY VIA LOOP SHIFTING* , 1988 .

[21]  N. Karcanias,et al.  Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory , 1976 .

[22]  Vladimír Kučera,et al.  Stationary LQG control of singular systems , 1986 .

[23]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[24]  Harry L. Trentelman,et al.  Families of linear-quadratic problems: Continuity properties , 1987 .

[25]  Michael G. Safonov,et al.  CACSD using the state-space L/sup infinity / theory-a design example , 1988 .

[26]  P. Sannuti,et al.  Multiple time-scale decomposition in cheap control problems--Singular control , 1985 .

[27]  H. Kimura,et al.  On the structure of H/sup infinity / control systems and related extensions , 1991 .

[28]  Edmond A. Jonckheere,et al.  On the existence of a negative semidefinite, antistabilizing solution to the discrete-time algebraic Riccati equation , 1981 .

[29]  U. Shaked.  The asymptotic behavior of the root-loci of multivariable optimal regulators , 1978 .

[30]  B. Kouvaritakis.  The optimal root loci of linear multivariable systems , 1978 .

[31]  J. R. E. O’Malley.  A More Direct Solution of the Nearly Singular Linear Regulator Problem , 1976 .

[32]  M. Safonov,et al.  Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts , 1989 .

[33]  P. Khargonekar,et al.  An algebraic Riccati equation approach to H ∞ optimization , 1988 .

[34]  H. Kwakernaak.  Asymptotic root loci of multivariable linear optimal regulators , 1976 .

[35]  K. Glover,et al.  A characterization of all solutions to the four block general distance problem , 1991 .

[36]  A. A. Stoorvogel,et al.  The quadratic matrix inequality in singular H ∞ control with state feedback , 1990 .

[37]  Johannes Schumacher,et al.  The role of the dissipation matrix in singular optimal control , 1983 .

[38]  G. Stein,et al.  The LQG/LTR procedure for multivariable feedback control design , 1987 .

[39]  B. Anderson,et al.  A game theoretic approach to H ∞ control for time-varying systems , 1992 .