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 1429 articles )

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  1. Lewkowicz, Izchak: Passive linear continuous-time systems: characterization through structure (2021)
  2. Polyak, B. T.; Khlebnikov, M. V.; Shcherbakov, P. S.: Linear matrix inequalities in control systems with uncertainty (2021)
  3. Andrievsky, B. R.; Furtat, I. B.: Disturbance observers: methods and applications. I: Methods (2020)
  4. Apkarian, Pierre; Noll, Dominikus: Optimizing the Kreiss constant (2020)
  5. Bachelier, Olivier; Cluzeau, Thomas; Silva Alvarez, Francisco José; Yeganefar, Nima: Stability of one-dimensioned spatially interconnected systems (2020)
  6. Bernardi, Emanuel; Adam, Eduardo J.: Observer-based fault detection and diagnosis strategy for industrial processes (2020)
  7. 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)
  8. 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)
  9. Chen, Wenbin; Xu, Shengyuan; Li, Yongmin; Zhang, Zhengqiang: Stability analysis of neutral systems with mixed interval time-varying delays and nonlinear disturbances (2020)
  10. Dang, Hongtao; Wang, Le; Zhang, Yan; Yang, Jianye: Limited-budget formation control for high-order linear swarm systems with fix topologies (2020)
  11. 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)
  12. El Youssfi, N.; El Bachtiri, R.; Zoulagh, T.; El Aiss, H.: Relaxed state and fault estimation for vehicle lateral dynamics represented by T-S fuzzy systems (2020)
  13. González, Antonio; Aragüés, Rosario; López-Nicolás, Gonzalo; Sagüés, Carlos: Predictor-feedback synthesis in coordinate-free formation control under time-varying delays (2020)
  14. Harshavarthini, S.; Sakthivel, R.; Ma, Yong-Ki; Muslim, M.: Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system (2020)
  15. He, Wei; Xie, Wei; Wu, Weilin; Zhagn, Langwen: Switching controller synthesis for discrete-time switched linear systems with average dwell time (2020)
  16. Kim, Jisu; Kim, Hongkeun: Synchronization of Lur’e-type nonlinear systems in linear dynamical networks having fast convergence rate and large DC gain (2020)
  17. 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)
  18. Li, Rong; Pantelous, Athanasios A.; Yang, Lin: Robust analysis for premium-reserve models in a stochastic nonlinear discrete-time varying framework (2020)
  19. Li, Shujiang; Wang, Wei: Adaptive robust (H_\infty) control for double support balance systems (2020)
  20. Meng, Xin; Zhai, Ding; Fu, Zhumu; Xie, Xiangpeng: Adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions (2020)

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