LMIs in Control/Click here to continue/Controller synthesis

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