LMIs in Control/pages/Reachable set diagonalNB

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Reachable sets with unit-energy inputs; Diagonal Norm-bound uncertainty[edit | edit source]

A Reachable set is a set of system States reached under the condition . On this page we will look at the problem of finding an controller , that - reachable set.

The System[edit | edit source]


In case of Diagonal Norm-bound uncertainty, we have:

The Data[edit | edit source]

The matrices .


Reachable set[edit | edit source]

The reachable set can be defined:

The elipsoid

The Optimization Problem[edit | edit source]

The following optimization problem should be solved:

Conclusion:[edit | edit source]

This LMI allows us to investigate stability for the robust control problem in the case of polytopic uncertainty and gives on the controller for this case

Implementation:[edit | edit source]

  • [1] - Matlab implementation using the YALMIP framework and Mosek solver

Related LMIs:[edit | edit source]

External Links[edit | edit source]

A list of references documenting and validating the LMI.

Return to Main Page:[edit | edit source]