LMIs in Control/pages/Stability of nonlinear systems
Robust Stability of Nonlinear Systems
The Optimization ProblemEdit
Consider a non linear system whos dynamics are given by
where , and , is Hurwitz stable and is piecewise continuous in both and
where is the bounding parameter and
The matrices necessary for this LMI are A and H.
The LMI: Switched Systems OptimizationEdit
There exists a scalar , along with the matrices such that:
The system is robustly stable to degree is the LMI is feasible.
A list of references documenting and validating the LMI.
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
- Robust stabilization of nonlinear systems: The LMI approach