MR and LTV Synthesis Tools

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MR and LTV Synthesis Tools Description MR-LTV Tools has commands in the following areas:

  • H-infinity synthesis of multi-rate sampled data LTI systems using LMI synthesis methods
  • H-infinity synthesis of discrete-time LTV systems using LMI synthesis methods
  • System type conversion (i.e. multi-rate LTI to discrete-time LTV)
  • LTV system balance, reduction, and truncation
  • LTV stability and stabilizability through eigenvalue and LMI solution methods
  • Discrete system data structure conversion
  • Mathworks LMI Toolbox not required. One of two LMI solvers can be used: Mathworks LMI Toolbox (purchased separately) or xLMI (free, available below). Only one of the LMI solvers must be installed to use this software


Supporting Papers

  • Robust Controller Synthesis for Time-Varying Systems.C. Pirie and G. Dullerud, SIAM Journal of Control and Optimization, PS
  • Controller Synthesis for Uncertain Time-Varying Discrete-Time Systems. C. Pirie, M.Math Thesis, 1999 PS
  • An LMI Solution to the Robust Synthesis Problem for Multi-Rate Sampled-Data Systems.S. Lall and G. E. Dullerud, Automatica, PDF
  • Asynchronous Hybrid Systems with Jumps -- Analysis and Synthesis Methods, G. E. Dullerud and S. Lall, Systems & Control Letters, PDF


Required Software & User Guide

  • v2.2 User Guide and Command List PDF
  • v2.2 Multirate and LTV Synthesis Tools ZIP
  • v2.2 LTV Synthesis Tools Only ZIP
  • v0.11 xLMI Toolbox ZIP or Mathworks LMI Toolbox LINK


Previous Versions/Downloads

  • v2.1 Command List HTML
  • v2.1 User Guide PDF
  • v2.1 LTV Synthesis Tools ZIP
  • v1.0 LTV Tools User Guide PS
  • v1.0 LTV Synthesis Tools ZIP


Release Info

  • v1.0: October, 2000
  • v2.1: October 21, 2002
  • v2.2: March 16, 2002


Authors

  • v1.0 Carol Pirie
  • v2.0 Wes Thompson
  • v2.1 Sanjay Lall WEB, Wes Thompson EMAIL
  • v2.2 Andrew Stubbs WEB/ EMAIL