LMIs in Control/pages/Unsat Inp Stabilization

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.


The SystemEdit

 

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:

 

where  

The DataEdit

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  

Conclusion:Edit

The feasibility of the given LMI implies that the system is stabilizable with control gains  .

ImplementationEdit

A link to CodeOcean or other online implementation of the LMI

Related LMIsEdit

External LinksEdit


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