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LMIs in Control/Stability Analysis/Continuous Time/Parametric, Norm-Bounded Uncertain System Quadratic Stability
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Given a system with matrices A,M,N,Q the quadratic stability of the system with parametric, norm-bounded uncertainty can be determined by the following LMI. The feasibility of the LMI tells if the system is quadratically stable or not.
The System
The Data
The matrices .
The LMI:
Conclusion:
The system above is quadratically stable if and only if there exists some mu >= 0 and P > 0 such that the LMI is feasible.
Implementation
https://github.com/mcavorsi/LMI
Related LMIs
Stability of Structured, Norm-Bounded Uncertainty
Stability under Arbitrary Switching
Quadratic Stability Margins
External Links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
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