LMIs in Control/Click here to continue/Controller synthesis

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Controller synthesis

  1. Continuous Time
    1. State Feedback
      1. Stabilization of Second-Order System
      2. LQ Regulation via H2 Control
      3. Controller to achieve the desired Reachable set; Polytopic uncertainty
      4. Controller to achieve the desired Reachable set; Norm bound uncertainty
      5. Controller to achieve the desired Reachable set; Diagonal Norm-bound uncertainty
    2. D-Stability
      1. Continuous Time D-Stability Controller
    3. Stabilizability LMI
    4. LMI for the Controllability Grammian
    5. LMI for Decentralized Feedback Control
    6. LMI for Mixed H2 / Hinf Output Feedback Controller
    7. Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
    8. H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
    9. Stabilizing State-Feedback Controllers with Structured Norm-Bounded Uncertainty
    10. Optimal State-Feedback Controllers with Structured Norm-Bounded Uncertainty
    11. Hinf Optimal Output Controllability for Systems With Transients
    12. Quadratic Polytopic Stabilization
    13. Quadratic D-Stabilization
    14. Quadratic Polytopic Full State Feedback Optimal Hinf Control
    15. Quadratic Polytopic Full State Feedback Optimal H2 Control
    16. Continuous-Time Static Output Feedback Stabilizability
    17. Multi-Criterion LQG
    18. Inverse Problem of Optimal Control
    19. Nonconvex Multi-Criterion Quadratic Problems
    20. Static-State Feedback Problem
    21. Mixed H2 Hinf with desired pole location control
    22. Mixed H2 Hinf with desired pole location control for perturbed systems
    23. Robust H2 State Feedback Control
    24. LQ Regulation via H2 control
  2. Discrete Time
    1. Discrete Time Stabilizability
    2. Quadratic Schur Satbilization
  3. Design For Insensitive Region
    1. Generic Insensitive Strip Region Design
    2. Generic Insensitive Disk Region Design
    3. Design for Insensitive Strip Region
    4. Design for Insensitive Disk Region
  4. Takagi Sugeno Models for Polytopic Controller Design
    1. Quadratic Stability
    2. Apkarian Filter and State Feedback
    3. Minimum Decay Rate in State Feedback
    4. Maximum Natural Frequency in State Feedback