H/sub infinity /-control for distributed parameter systems: a survey

The problem of H/sub infinity /-control is introduced and formulated as a state-space problem. The main finite-dimensional results are reviewed, a survey of recent results for infinite-dimensional systems is presented and open problems for future research are suggested.<<ETX>>

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

[2]  Hans Zwart,et al.  Geometric Theory for Infinite Dimensional Systems , 1989 .

[3]  D. Hinrichsen,et al.  Real and Complex Stability Radii: A Survey , 1990 .

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

[5]  A. J. Pritchard,et al.  The linear quadratic control problem for infinite dimensional systems with unbounded input and outpu , 1987 .

[6]  R. Curtain Robust stabilizability of normalized coprime factors: The infinite-dimensional case , 1990 .

[7]  D. Wexler,et al.  On Frequency Domain Stability for Evolution Equations in Hilbert Spaces via the Algebraic Riccati Equation , 1980 .

[8]  K. Glover,et al.  State-space formulae for all stabilizing controllers that satisfy and H ∞ norm bound and relations to risk sensitivity , 1988 .

[9]  T. Georgiou,et al.  Optimal robustness in the gap metric , 1990 .

[10]  Allen Tannenbaum,et al.  On the Four Block Problem, I , 1988 .

[11]  A. Pritchard,et al.  Robustness of infinite dimensional systems , 1987 .

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

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

[14]  Stuart Townley,et al.  Robustness Optimization for Abstract, Uncertain Control Systems: Unbounded Inputs and Perturbations , 1989 .

[15]  P. Khargonekar,et al.  H/sub infinity /-optimal control with state-feedback , 1988 .

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

[17]  Gilead Tadmor,et al.  Worst-case design in the time domain: The maximum principle and the standardH∞ problem , 1990, Math. Control. Signals Syst..

[18]  Ian R. Petersen,et al.  Some new results on algebraic Riccati equations arising in linear quadratic differential games and the stabilization of uncertain linear systems , 1988 .

[19]  Allen Tannenbaum,et al.  On the Nehari problem for a certain class of L∞ functions appearing in control theory, II , 1987 .

[20]  A. Tannenbaum,et al.  On the four block problem, II: The singular system , 1988 .

[21]  D. Bernstein,et al.  LQG control with an H/sup infinity / performance bound: a Riccati equation approach , 1989 .

[22]  Stuart Townley,et al.  Robustness of linear systems , 1989 .

[23]  Carsten W. Scherer,et al.  H/sub infinity /-control by state-feedback and fast algorithms for the computation of optimal H/sub infinity /-norms , 1990 .

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

[25]  Ruth F. Curtain,et al.  Comparison theorems for infinite-dimensional Riccati equations , 1990 .

[26]  C. Scherer H ∞ -control by state feedback: an iterative algorithm and characterization of high-gain occurrence , 1989 .

[27]  J. Lions Optimal Control of Systems Governed by Partial Differential Equations , 1971 .

[29]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .