LMIs in Control/Stability Analysis/Continuous Time/Parametric, Norm-Bounded Uncertain System Quadratic Stability
Jump to navigation
Jump to search
LMIs in Control/Stability Analysis/Continuous Time/Parametric, Norm-Bounded Uncertain System Quadratic Stability
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[edit | edit source]
The Data[edit | edit source]
The matrices .
The LMI:[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.
Implementation[edit | edit source]
https://github.com/mcavorsi/LMI
Related LMIs[edit | edit source]
Stability of Structured, Norm-Bounded Uncertainty
Stability under Arbitrary Switching
External Links[edit | edit source]
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.