LMIs in Control/pages/Robust stabilization of nonlinear systems

LMIs in Control/pages/Robust stabilization of nonlinear systems

Robust Stabilization of Nonlinear Systems

The Optimization Problem edit

Consider a non linear system whos dynamics are given by

 

where  , ,   and  ,   is Hurwitz stable and   is piecewise continuous in both   and  

We assume   is stabilizable so

  ,  

Assume that  

where   is the bounding parameter and  

The Data edit

The matrices required to solve this problem are A, B, H

The LMI: Nonlinear Systems Robust Stabilization edit

There exists scalars  ,  , and  , along with the matrices   such that the following optimization problem is feasible.

 

Conclusion: edit

The controller K can be recovered by the relation

 

Implementation edit

External Links edit

A list of references documenting and validating the LMI.

Return to Main Page: edit