LMIs in Control/pages/Robust stabilization of nonlinear systems

Robust Stabilization of Nonlinear Systems The Optimization Problem 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 The matrices required to solve this problem are A, B, H The LMI: Nonlinear Systems Robust Stabilization There exists scalars , , and , along with the matrices such that the following optimization problem is feasible. Conclusion: The controller K can be recovered by the relation Implementation External Links 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 Return to Main Page: