LMITOOL: a package for LMI optimization Many problems in systems and control can be formulated as “linear matrix inequality” (LMI) problems. Previously, efficient algorithms have been developed for solving LMIs of reasonable size. Using these programs for solving control problems however requires a reformulation of the problem, which often implies a great deal of tedious algebraic manipulations. In this paper, the authors present a complete package (toolbox) for Matlab (a version of which is available in the free Matlab-like scientific software package Scilab) that allows the user to solve his control problem using LMI methods with very little effort. Applications of LMIs in systems and control, and the use of LMITOOL are illustrated by a number of examples (Source: http://plato.asu.edu)

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  1. Chen, Po-Wei; Chen, Bor-Sen: Robust synchronization analysis in nonlinear stochastic cellular networks with time-varying delays, intracellular perturbations and intercellular noise (2011)
  2. Khosrowjerdi, M.J.: Robust sensor fault reconstruction for Lipschitz nonlinear systems (2011)
  3. Chen, Bor-Sen; Chen, Po-Wei: On the estimation of robustness and filtering ability of dynamic biochemical networks under process delays, internal parametric perturbations and external disturbances (2009)
  4. Rosas-Jaimes, Oscar; Alvarez-Icaza, Luis: Vehicle density and velocity estimation on highways for on-ramp metering control (2007)
  5. Henry, D.; Zolghadri, A.: Design of fault diagnosis filters: a multi-objective approach (2005)
  6. Henrion, Didier; Sagimoto, Kenji; Šebek, Michael: Rank-one LMI approach to robust stability of polynomial matrices. (2002)
  7. Mattei, Massimiliano: An LMI approach to the design of a robust observer with application to a temperature control problem for space vehicle testing (2001)
  8. El Ghaoui, Laurent (ed.); Niculescu, Silviu-Iulian (ed.): Advances in linear matrix inequality methods in control (2000)
  9. Lee, Young Il; Kouvaritakis, Basil: Robust receding horizon predictive control for systems with uncertain dynamics and input saturation (2000)
  10. Tits, André L.; Balakrishnan, Venkataramanan; Lee, Li: Robustness under bounded uncertainty with phase information (1999)
  11. Dorato, P.; Menini, L.; Treml, C.A.: Robust multi-objective feedback design with linear guaranteed-cost bounds (1998)
  12. Dussy, Stéphane; El Ghaoui, Laurent: Measurement-scheduled control for the RTAC problem: An LMI approach (1998)
  13. Fierro, Rafael; Lewis, Frank L.; Liu, Kai: Hybrid control system desgin using a fuzzy logic interface. (1998)
  14. Scorletti, Gérard; El Ghaoui, Laurent: Improved LMI conditions for gain scheduling and related control problems (1998)
  15. van de Wal, Marc; Philips, Patrick; de Jager, Bram: Actuator and sensor selection for an active vehicle suspension aimed at robust performance (1998)
  16. El Ghaoui, Laurent; Oustry, Francois; AitRami, Mustapha: A cone complementarity linearization algorithm for static output-feedback and related problems (1997)
  17. Ait Rami, Mustapha; El Ghaoui, Laurent: LMI optimization for nonstandard Riccati equations arising in stochastic control (1996)
  18. Beck, Carolyn L.; Doyle, John; Glover, Keith: Model reduction of multidimensional and uncertain systems (1996)
  19. El Ghaoui, Laurent; Ait Rami, Mustapha: Robust state-feedback stabilization of jump linear systems via LMIs (1996)
  20. El Ghaoui, L.; Folcher, J.P.: Multiobjective robust control of LTI systems subject to unstructured perturbations (1996)