LMIs in Control/pages/Stability of nonlinear systems

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  

Assume that  

where   is the bounding parameter and  

The DataEdit

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:

 

Conclusion:Edit

The system is robustly stable to degree   is the LMI is feasible.

ImplementationEdit

External LinksEdit

A list of references documenting and validating the LMI.

Return to Main Page:Edit