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LMIs in Control/Stability Analysis/Continuous Time/StrongStabilizability
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
The System
Consider the continous-time LTI system, with state-space realization (A,B,C,0)
where , , , and it and it is assumed that (A, B) is stabilizable, (A, C) is detectable,
and the transfer matrix has no poles on the imaginary axis.
The Data
The matrices .
The Optimization Problem
The system G is strongly stabilizable if there exist , , and , where , such that
Conclusion:
where and , is the solution to the Lyapunov equation given by
Moreover, a controller that strongly stabilizes G is given by the state-space realization
Implementation
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Related LMIs
Future Link - Discrete-Time Strong Stabilizability
External Links
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