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 1392 articles )

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  1. 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)
  2. Duan, Ruirui; Li, Junmin: Finite-time distributed (H_\infty) filtering for Takagi-Sugeno fuzzy system with uncertain probability sensor saturation under switching network topology: non-PDC approach (2020)
  3. Li, Hongfei; Li, Chuandong; Huang, Junjian: A hybrid impulsive and sampled-data control framework for a class of nonlinear dynamical systems with input constraints (2020)
  4. Li, Rong; Pantelous, Athanasios A.; Yang, Lin: Robust analysis for premium-reserve models in a stochastic nonlinear discrete-time varying framework (2020)
  5. Meng, Xin; Zhai, Ding; Fu, Zhumu; Xie, Xiangpeng: Adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions (2020)
  6. Xie, Wei; He, Wei; Wu, WeiLin; Zhang, LangWen: Switching controller design for linear time invariant plant with a single I/O delay (2020)
  7. Zhang, Xiao-Wei; Wu, Huai-Ning: Switching state observer design for semilinear parabolic PDE systems with mobile sensors (2020)
  8. Aghili, Farhad: Modeling and analysis of multiple impacts in multibody systems under unilateral and bilateral constrains based on linear projection operators (2019)
  9. Aliev, Fikret A.; Larin, Vladimir B.; Velieva, Naila; Gasimova, Kamila; Faradjova, Shargiyya: Algorithm for solving the systems of the generalized Sylvester-transpose matrix equations using LMI (2019)
  10. Ali, M. Syed; Yogambigai, J.; Saravanan, S.; Elakkia, S.: Stochastic stability of neutral-type Markovian-jumping BAM neural networks with time varying delays (2019)
  11. de Oliveira, Fúlvia S. S.; Souza, Fernando O.: Strong delay-independent stability of linear delay systems (2019)
  12. Dong, Yali; Chen, Laijun; Mei, Shengwei: Functional observers design for nonlinear discrete-time systems with interval time-varying delays. (2019)
  13. Echi, Nadhem; Basdouri, Imed; Benali, Hanen: A separation principle for the stabilisation of a class of fractional order time delay nonlinear systems (2019)
  14. González, Antonio; Aranda, Miguel; López-Nicolás, Gonzalo; Sagüés, Carlos: Robust stability analysis of formation control in local frames under time-varying delays and actuator faults (2019)
  15. Li, He; Yang, Guang-Hong: Dynamic output feedback (H_\infty) control for fractional-order linear uncertain systems with actuator faults (2019)
  16. Mazko, A. G.: Evaluation of the weighted level of damping of bounded disturbances in descriptor systems (2019)
  17. Oravec, Juraj; Holaza, Juraj; Horváthová, Michaela; Nguyen, Ngoc A.; Kvasnica, Michal; Bakošová, Monika: Convex-lifting-based robust control design using the tunable robust invariant sets (2019)
  18. Phat, Vu Ngoc; Thuan, Mai Viet; Tuan, Tran Ngoc: New criteria for guaranteed cost control of nonlinear fractional-order delay systems: a Razumikhin approach (2019)
  19. Sánchez, Marcelino; Bernal, Miguel: LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials (2019)
  20. Saravanakumar, Ramasamy; Joo, Young Hoon: Fuzzy dissipative and observer control for wind generator systems: a fuzzy time-dependent LKF approach (2019)

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