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 System[edit | edit source]
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 Data[edit | edit source]
The system matrices , the saturation bounds of the control inputs. Positive scalars .
The LMI: The Stabilization Feasibility Condition[edit | edit source]
Here is a diagonal matrix with a component either 0 or 1, and and
Conclusion:[edit | edit source]
The feasibility of the given LMI implies that the system is stabilizable with control gains .
Implementation[edit | edit source]
A link to CodeOcean or other online implementation of the LMI
Related LMIs[edit | edit source]
External Links[edit | edit source]
- Stabilization of Systems with Unsymmetrical Saturated Control: An LMI Approach Link to the original article.