LMIs in Control/pages/Stability of nonlinear systems

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LMIs in Control/pages/Stability of nonlinear systems

Robust Stability of Nonlinear Systems

The Optimization Problem[edit | edit source]

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 Data[edit | edit source]

The matrices necessary for this LMI are A and H.

The LMI: Switched Systems Optimization[edit | edit source]

There exists a scalar , along with the matrices such that:

Conclusion:[edit | edit source]

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

Implementation[edit | edit source]

External Links[edit | edit source]

A list of references documenting and validating the LMI.

Return to Main Page:[edit | edit source]