LMIs in Control/Parametric, Norm-Bounded Uncertain System Quadratic Stability (dual version)
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LMIs in Control/Parametric, Norm-Bounded Uncertain System Quadratic Stability (dual version)
The System
[edit | edit source]The Data
[edit | edit source]The matrices .
The LMI: The Lyapunov Inequality
[edit | edit source]Conclusion:
[edit | edit source]The system above is quadratically stable if and only if there exists some mu >= 0 and P > 0 such that the LMI is feasible. This LMI is a good way to determine quadratic stability of a system with parametric, norm-bounded uncertainty.
Implementation
[edit | edit source]A link to CodeOcean or other online implementation of the LMI
Related LMIs
[edit | edit source]Links to other closely-related LMIs
External Links
[edit | edit source]- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.