Jump to content

LMIs in Control/pages/Stability of Quadratic Constrained Systems

From Wikibooks, open books for an open world

The System

[edit | edit source]

The Data

[edit | edit source]

The matrices .

The LMI:

[edit | edit source]

The following feasibility problem should be solved.

Implementation

[edit | edit source]

https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/38f3b55ca7060a1260384a96e9dc31142af07a9a

Conclusion

[edit | edit source]

The integral quadratic constrained system is stable if the provided LMI is feasible

Remark

[edit | edit source]

The key point of the proof is to satisfy whenever , using -procedure.

[edit | edit source]

Return to Main Page:

[edit | edit source]