H/sub 2/-optimal decoupling of previewed signals in the continuous-time domain

The synthesis of a feedforward unit for H/sub 2/-optimal decoupling of previewed signals in continuous time-invariant linear systems is considered. The H/sub 2/-optimal compensator herein presented consists of a finite impulse response system working in connection with a standard finite-dimensional dynamic unit. An explicit expression of the compensator transfer function matrix is derived through a simple procedure based on invariance properties of subspaces related to the autonomous Hamiltonian system.

[1]  Edward J. Davison,et al.  Performance limitations of non-minimum phase systems in the servomechanism problem, , 1993, Autom..

[2]  S. P. Bhattacharyyta Disturbance rejection in linear systems , 1974 .

[3]  Qingze Zou,et al.  Preview-Based Stable-Inversion for Output Tracking of Linear Systems , 1999 .

[4]  Domenico Prattichizzo,et al.  $H_2$ optimal decoupling of previewed signals in the discrete-time case , 2002 .

[5]  Domenico Prattichizzo,et al.  Geometric insight into discrete-time cheap and singular linear quadratic Riccati (LQR) problems , 2002, IEEE Trans. Autom. Control..

[6]  Johannes Schumacher,et al.  On a conjecture of Basile and Marro , 1983 .

[7]  Domenico Prattichizzo,et al.  H2 optimal decoupling of previewed signals in the discrete-time case , 2002, Kybernetika.

[8]  Leonid Mirkin,et al.  On the Hinfinity fixed-lag smoothing: how to exploit the information preview , 2003, Autom..

[9]  Domenico Prattichizzo,et al.  Convolution profiles for right inversion of multivariable non-minimum phase discrete-time systems , 2002, Autom..

[10]  L. Hunt,et al.  Noncausal inverses for linear systems , 1996, IEEE Trans. Autom. Control..

[11]  Guoping Zeng,et al.  Stable inversion for nonlinear discrete-time systems , 2000, IEEE Trans. Autom. Control..

[12]  S. Hara,et al.  Optimal tracking performance: preview control and exponential signals , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[13]  G. Basile,et al.  Controlled and conditioned invariant subspaces in linear system theory , 1969 .

[14]  Leonid Mirkin,et al.  On the H∞ Fixed-Lag Smoothing: How to Exploit the Information Preview , 2001 .

[15]  Giovanni Marro,et al.  Self-bounded controlled invariant subspaces: A straightforward approach to constrained controllability , 1982 .

[16]  Akira Kojima,et al.  LQ preview synthesis: optimal control and worst case analysis , 1999, IEEE Trans. Autom. Control..

[17]  M. Tomizuka Optimal continuous finite preview problem , 1975 .

[18]  R. Bellman,et al.  The Riccati Equation , 1986 .

[19]  Akira Kojima,et al.  H∞ performance of preview control systems , 2003, Autom..

[20]  Masayoshi Tomizuka,et al.  Experimental flexible beam tip tracking control with a truncated series approximation to uncancelable inverse dynamics , 1994, IEEE Trans. Control. Syst. Technol..

[21]  A. Morse,et al.  Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach , 1970 .

[22]  B. Paden,et al.  Nonlinear inversion-based output tracking , 1996, IEEE Trans. Autom. Control..

[23]  W. Messner,et al.  Cancellation of Discrete Time Unstable Zeros by Feedforward Control , 1994 .

[24]  E. Davison,et al.  Perfect control of the robust servomechanism problem , 1987 .

[25]  Santosh Devasia,et al.  Optimal output-transitions for linear systems , 2003, Autom..