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 1206 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. Asemani, Mohammad Hassan; Vatankhah, Ramin: Non-PDC observer-based T-S fuzzy tracking controller design and its application in chaos control (2017)
  3. Bachelier, Olivier; Cluzeau, Thomas; David, Ronan; Yeganefar, Nima: Structural stabilization of linear 2D discrete systems using equivalence transformations (2017)
  4. Chen, Xiaoming; Lam, James; Meng, Min: Controller synthesis for positive Takagi-Sugeno fuzzy systems under $\ell_1$ performance (2017)
  5. Chua, W.S.; Tan, C.P.; Aldeen, M.; Saha, S.: A robust fault estimation scheme for a class of nonlinear systems (2017)
  6. Duan, Zhisheng; Jiang, Zhong-Ping; Huang, Lin: A new decentralised controller design method for a class of strongly interconnected systems (2017)
  7. 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)
  8. Hsiao, Feng-Hsiag: Optimal fuzzy control of exponential synchronisation via genetic algorithm (2017)
  9. 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)
  10. 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)
  11. Jiang, Wei; Wang, Hongli; Lu, Jinghui; Qin, Weiwei; Cai, Guangbin: Nonfragile robust model predictive control for uncertain constrained time-delayed system with compensations (2017)
  12. Kim, Do Wan: Further refinement on controller design for linear systems with input saturation (2017)
  13. Kokil, Priyanka: An improved criterion for the global asymptotic stability of 2-D discrete state-delayed systems with saturation nonlinearities (2017)
  14. Kokil, Priyanka; Shinde, Swapnil Sadashiv: A note on the induced $l_\infty$ stability of fixed-point digital filters without overflow oscillations and instability due to finite wordlength effects (2017)
  15. Korobov, V.I.; Lutsenko, A.V.: On the robust stabilization of one class of nonlinear discrete systems (2017)
  16. La-inchua, T.; Niamsup, P.; Liu, Xinzhi: Finite-time stability of large-scale systems with interval time-varying delay in interconnection (2017)
  17. Larin, V. B.: Correcting the parameters of undamped mechanical systems (2017)
  18. Mazko, A.G.; Kusii, S.N.: Stabilization by a measurable output and estimation of the level of attenuation for perturbations in control systems (2017)
  19. Muros, Francisco Javier; Algaba, Encarnación; Maestre, José María; Camacho, Eduardo F.: The Banzhaf value as a design tool in coalitional control (2017)
  20. Muros, Francisco Javier; Maestre, José María; Algaba, Encarnación; Alamo, Teodoro; Camacho, Eduardo F.: Networked control design for coalitional schemes using game-theoretic methods (2017)

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