LMI For Stabilization Condition for Systems With Unsymmetrical Saturated Control
The LMI in this page gives the feasibility conditions which, if satisfied, imply that the correstponding system can be stabilized.
where is the state, is the control input.
For the system given as above, its symmetrical saturated control form can be derived by following the procedure in the original article. The new system will have the form:
The system matrices , the saturation bounds of the control inputs. Positive scalars .
The LMI: The Stabilization Feasibility ConditionEdit
Here is a diagonal matrix with a component either 0 or 1, and and
The feasibility of the given LMI implies that the system is stabilizable with control gains .
A link to CodeOcean or other online implementation of the LMI
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