LMI toolbox

Linear Matrix Inequalities (LMIs) and LMI techniques have emerged as powerful design tools in areas ranging from control engineering to system identification and structural design. The LMI Control Toolbox implements state-of-the-art interior-point LMI solvers. While these solvers are significantly faster than classical convex optimization algorithms, it should be kept in mind that the complexity of LMI computations remains higher than that of solving, say, a Riccati equation. For instance, problems with a thousand design variables typically take over an hour on today’s workstations. However, research on LMI optimization is still very active and substantial speed-ups can be expected in the future. Thanks to its efficient “structured” representation of LMIs, the LMI Control Toolbox is geared to making the most out of such improvements


References in zbMATH (referenced in 1229 articles )

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  1. Ali, M. Syed; Yogambigai, J.; Kwon, O. M.: Finite-time robust passive control for a class of switched reaction-diffusion stochastic complex dynamical networks with coupling delays and impulsive control (2018)
  2. de Oliveira Souza, Fernando; de Oliveira, Maurício Carvalho; Martinez Palhares, Reinaldo: A simple necessary and sufficient LMI condition for the strong delay-independent stability of LTI systems with single delay (2018)
  3. Kusii, S. M.: Stabilization and attenuation of bounded perturbations in discrete control systems (2018)
  4. Lien, Chang-Hua; Yu, Ker-Wei; Hsieh, Jer-Guang; Chung, Long-Yeu; Chen, Jenq-Der: Simple switching signal design for $H_\infty$ performance and control of switched time-delay systems (2018)
  5. Lin, Chong; Chen, Bing; Shi, Peng; Yu, Jin-Peng: Necessary and sufficient conditions of observer-based stabilization for a class of fractional-order descriptor systems (2018)
  6. Sowmiya, C.; Raja, R.; Cao, Jinde; Li, X.; Rajchakit, G.: Discrete-time stochastic impulsive BAM neural networks with leakage and mixed time delays: an exponential stability problem (2018)
  7. Aliev, F. A.; Larin, V. B.: A note about the solution of matrix Sylvester equation (2017)
  8. Asemani, Mohammad Hassan; Vatankhah, Ramin: Non-PDC observer-based T-S fuzzy tracking controller design and its application in chaos control (2017)
  9. Bachelier, Olivier; Cluzeau, Thomas; David, Ronan; Yeganefar, Nima: Structural stabilization of linear 2D discrete systems using equivalence transformations (2017)
  10. Chen, Xiaoming; Lam, James; Meng, Min: Controller synthesis for positive Takagi-Sugeno fuzzy systems under $\ell_1$ performance (2017)
  11. Chua, W. S.; Tan, C. P.; Aldeen, M.; Saha, S.: A robust fault estimation scheme for a class of nonlinear systems (2017)
  12. Duan, Zhisheng; Jiang, Zhong-Ping; Huang, Lin: A new decentralised controller design method for a class of strongly interconnected systems (2017)
  13. Gaino, R.; Covacic, M. R.; Teixeira, M. C. M.; Cardim, R.; Assunção, E.; de Carvalho, A. A.; Sanches, M. A. A.: Electrical stimulation tracking control for paraplegic patients using T-S fuzzy models (2017)
  14. Hsiao, Feng-Hsiag: Optimal fuzzy control of exponential synchronisation via genetic algorithm (2017)
  15. Jiang, Wei; Wang, Hongli; Lu, Jinghui; Cai, Guangbin; Qin, Weiwei: Synchronization for chaotic systems via mixed-objective dynamic output feedback robust model predictive control (2017)
  16. Jiang, Wei; Wang, Hongli; Lu, Jinghui; Cai, Guangbin; Qin, Weiwei: Mixed-objective robust dynamic output feedback controller synthesis for continuous-time polytopic LPV systems (2017)
  17. Jiang, Wei; Wang, Hongli; Lu, Jinghui; Qin, Weiwei; Cai, Guangbin: Nonfragile robust model predictive control for uncertain constrained time-delayed system with compensations (2017)
  18. Jing, Li; Dong, Qiuyang: Control of switched systems with actuator saturation (2017)
  19. Kim, Do Wan: Further refinement on controller design for linear systems with input saturation (2017)
  20. Kokil, Priyanka: An improved criterion for the global asymptotic stability of 2-D discrete state-delayed systems with saturation nonlinearities (2017)

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