Model reduction for control design for distributed parameter systems

[1]  Ruth F. Curtain,et al.  Well-Posedness, stabilizability, and admissibility for Pritchard-Salamon systems , 1992 .

[2]  J. Weidmann Linear Operators in Hilbert Spaces , 1980 .

[3]  D. Meyer Fractional balanced reduction: model reduction via fractional representation , 1990 .

[4]  Raimund J. Ober,et al.  Bilinear transformation of infinite-dimensional state-space systems and balanced realizations of nonrational transfer functions , 1990 .

[5]  G. M. Kepler,et al.  Reduced order model compensator control of species transport in a CVD reactor , 2000 .

[6]  Pablo A. Iglesias,et al.  Minimum Entropy Control , 1997 .

[7]  Kazufumi Ito,et al.  Strong convergence and convergence rates of approximating solutions for algebraic riccati equations in Hilbert spaces , 1987 .

[8]  Kazufumi Ito,et al.  Two Families of Approximation Schemes for Delay Systems , 1992 .

[9]  Scott W. Hansen,et al.  New results on the operator Carleson measure criterion , 1997 .

[10]  Jonathan R. Partington,et al.  Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators , 1988, Math. Control. Signals Syst..

[11]  Ruth F. Curtain,et al.  Inertia theorems for operator Lyapunov inequalities , 2001, Syst. Control. Lett..

[12]  Belinda B. King,et al.  Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations , 2001 .

[13]  Keith Glover,et al.  Robust control design using normal-ized coprime factor plant descriptions , 1989 .

[14]  J. Gibson Linear-Quadratic Optimal Control of Hereditary Differential Systems: Infinite Dimensional Riccati Equations and Numerical Approximations , 1983 .

[15]  Kazumfumi Lto,et al.  Finite-dimensional compensators for infinite-dimensional systems via Galerkin-type approximation , 1990 .

[16]  H. Tran,et al.  Modeling and control of physical processes using proper orthogonal decomposition , 2001 .

[17]  Kirsten Morris Convergence of controllers designed using state space methods , 1991 .

[18]  J. Partington An introduction to Hankel operators , 1988 .

[19]  K. Kunisch,et al.  Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition , 1999 .

[20]  Franz Kappel,et al.  An approximation theorem for the algebraic Riccati equation , 1990 .

[21]  P. Grabowski On the Spectral-Lyapunov Approach to Parametric Optimization of Distributed-Parameter Systems , 1990 .

[22]  D. Mustafa,et al.  Controller reduction by H/sub infinity /-balanced truncation , 1991 .

[23]  Duncan McFarlane,et al.  Balanced canonical forms for minimal systems: A normalized coprime factor approach , 1989 .

[24]  Belinda B. King,et al.  Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition , 2004, SIAM J. Sci. Comput..

[25]  Ruth F. Curtain,et al.  Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems , 2001 .

[26]  John C. Doyle,et al.  Guaranteed margins for LQG regulators , 1978 .

[27]  S. Q. Zhu Graph topology and gap topology for unstable systems , 1989 .

[28]  Jerrold E. Marsden,et al.  Empirical model reduction of controlled nonlinear systems , 1999, IFAC Proceedings Volumes.

[29]  Mathukumalli Vidyasagar,et al.  Control System Synthesis , 1985 .

[30]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[31]  R. Curtain,et al.  L ∞ approximation and nuclearity of delay systems , 1988 .

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

[33]  Edmond A. Jonckheere,et al.  A new set of invariants for linear systems--Application to reduced order compensator design , 1983 .