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 1449 articles )

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  1. Aouiti, Chaouki; Touati, Farid: Stability and global dissipativity for neutral-type fuzzy genetic regulatory networks with mixed delays (2021)
  2. Cheraghiyan, M.: A new separated fault estimator and fault-tolerant control design strategy for uncertain nonlinear systems using T-S fuzzy modeling (2021)
  3. Dong, Yali; Wang, Huimin; Deng, Mengxiao: Robust observer-based finite-time (H_\infty) control designs for discrete nonlinear systems with time-varying delay. (2021)
  4. Huang, Chih-Peng: Admissibility analysis and controller design for discrete singular time-delay systems embracing uncertainties in the difference and systems’ matrices (2021)
  5. Lewkowicz, Izchak: Passive linear continuous-time systems: characterization through structure (2021)
  6. Niamsup, P.; Phat, V. N.: (H_\infty) control for linear descriptor systems with non-differentiable delays in both state and observation (2021)
  7. Polyak, B. T.; Khlebnikov, M. V.; Shcherbakov, P. S.: Linear matrix inequalities in control systems with uncertainty (2021)
  8. Quintana, Daniel; Estrada-Manzo, Víctor; Bernal, Miguel: An exact handling of the gradient for overcoming persistent problems in nonlinear observer design via convex optimization techniques (2021)
  9. Sun, Cheng-Xia; Liu, Xian: A state observer for the computational network model of neural populations (2021)
  10. Sun, Haoyuan; Sun, Jian; Chen, Jie: Analysis and synthesis of networked control systems with random network-induced delays and sampling intervals (2021)
  11. Thuan, Mai V.; Niamsup, Piyapong; Phat, Vu N.: Finite-time control analysis of nonlinear fractional-order systems subject to disturbances (2021)
  12. Wu, Huai-Ning; Zhang, Xiu-Mei; Wang, Jun-Wei; Zhu, Huan-Yu: Observer-based output feedback fuzzy control for nonlinear parabolic PDE-ODE coupled systems (2021)
  13. Xu, Xiaofeng; Chen, Mou; Li, Tao; Wu, Qingxian: Composite fault tolerant attitude control for flexible satellite system under disturbance and input delay (2021)
  14. Yu, Xiao; Liao, Fucheng: A tracking controller design with preview action for a class of nonlinear Lur’e systems with time-varying delays and external disturbances. (2021)
  15. Andrievsky, B. R.; Furtat, I. B.: Disturbance observers: methods and applications. I: Methods (2020)
  16. Apkarian, Pierre; Noll, Dominikus: Optimizing the Kreiss constant (2020)
  17. Bachelier, Olivier; Cluzeau, Thomas; Silva Alvarez, Francisco José; Yeganefar, Nima: Stability of one-dimensioned spatially interconnected systems (2020)
  18. Bernardi, Emanuel; Adam, Eduardo J.: Observer-based fault detection and diagnosis strategy for industrial processes (2020)
  19. Carniato, Leonardo Ataide; Carniato, Alexandre Ataide; Teixeira, Marcelo Carvalho Minhoto; Cardim, Rodrigo; Mainardi, Edson Italo Jr.; Assunção, Edvaldo: Output control of continuous-time uncertain switched linear systems via switched static output feedback (2020)
  20. Chaudhry, Afraz Mehmood; Arshad Uppal, Ali; Alsmadi, Yazan M.; Bhatti, Aamer Iqbal; Utkin, Vadim I.: Robust multi-objective control design for underground coal gasification energy conversion process (2020)

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