An efficient numerical procedure to compute stabilizing state feedback gains for linear time-varying periodic systems
نویسندگان
چکیده
This report presents a procedure to synthesize a stabilizing periodic static state-feedback controller that does not explicitly need the application of the Floquet theory and which can be easily computed numerically. In addition to the complete uniform controllability condition, which is a common requirement in this kind of problem, the open-loop system must also be uniformly observable with the synthesized controller in order to be stabilised. The periodic state feedback gain is obtained through the numerical integration of two differential matrix equations over two periods.
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