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 1463 articles )

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  1. Li, Qiang; Liang, Jinling: Non-fragile asynchronous state estimation for Markovian switching CVNs with partly accessible mode detection: the discrete-time case (2022)
  2. Aouiti, Chaouki; Touati, Farid: Stability and global dissipativity for neutral-type fuzzy genetic regulatory networks with mixed delays (2021)
  3. Beteto, Marco Antonio Leite; Assunção, Edvaldo; Teixeira, Marcelo Carvalho Minhoto; Silva, Emerson Ravazzi Pires da; Buzachero, Luiz Francisco Sanches; da Ponte Caun, Rodrigo: Less conservative conditions for robust LQR-state-derivative controller design: an LMI approach (2021)
  4. Cheraghiyan, M.: A new separated fault estimator and fault-tolerant control design strategy for uncertain nonlinear systems using T-S fuzzy modeling (2021)
  5. Dong, Yali; Wang, Huimin; Deng, Mengxiao: Robust observer-based finite-time (H_\infty) control designs for discrete nonlinear systems with time-varying delay. (2021)
  6. Huong, Dinh Cong; Thong, Le Ba; Yen, Dao Thi Hai: Output feedback control and output feedback finite-time control for nonlinear fractional-order interconnected systems (2021)
  7. Jing, Li; Chen, Ximing; Li, Li: Consensus of leader-following adjacently input saturated multi-agent systems with state predictors and delays (2021)
  8. Lewkowicz, Izchak: Passive linear continuous-time systems: characterization through structure (2021)
  9. Luemsai, Sunisa; Botmart, Thongchai; Weera, Wajaree: Novel extended dissipativity criteria for generalized neural networks with interval discrete and distributed time-varying delays (2021)
  10. Niamsup, P.; Phat, V. N.: (H_\infty) control for linear descriptor systems with non-differentiable delays in both state and observation (2021)
  11. Ping, Xubin; Wang, Xiaojuan; Lin, Tingyu; Ding, Baocang; Polyakov, Andrey: An off-line approach for output feedback robust model predictive control (2021)
  12. Polyak, B. T.; Khlebnikov, M. V.; Shcherbakov, P. S.: Linear matrix inequalities in control systems with uncertainty (2021)
  13. 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)
  14. Sun, Cheng-Xia; Liu, Xian: A state observer for the computational network model of neural populations (2021)
  15. Sun, Haoyuan; Sun, Jian; Chen, Jie: Analysis and synthesis of networked control systems with random network-induced delays and sampling intervals (2021)
  16. Thuan, Mai V.; Niamsup, Piyapong; Phat, Vu N.: Finite-time control analysis of nonlinear fractional-order systems subject to disturbances (2021)
  17. 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)
  18. Xu, Xiaofeng; Chen, Mou; Li, Tao; Wu, Qingxian: Composite fault tolerant attitude control for flexible satellite system under disturbance and input delay (2021)
  19. 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)
  20. Achour, Hakim; Boukhetala, Djamel; Labdelaoui, Hilal: An observer-based robust (H \infty) controller design for uncertain Takagi-Sugeno fuzzy systems with unknown premise variables using particle swarm optimisation (2020)

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