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Title

A NEW APPROACH FOR EIGENVALUE ASSIGNMENT IN DESCRIPTOR SYSTEMS WITH OUTPUT FEEDBACK MATRIX

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Abstract

 IN THIS PAPER, WE PRESENT A NEW METHOD FOR EIGENVALUE ASSIGNMENT IN DESCRIPTOR SYSTEMS BASED ON MATRIX INVERSE EIGENVALUE PROBLEM. FIRST A DESCRIPTOR SYSTEM IS CHANGED TO STANDARD SYSTEM WITH OUTPUT FEEDBACK BY DEFINING THE INPUT VECTOR AS A MULTIPLE OF THE OUTPUT-DERIVATIVE FEEDBACK, THEN USING THE MATRIX INVERSE EIGENVALUE PROBLEM, OUTPUT FEEDBACK MATRIX K IS CALCULATED SUCH THAT EIGENVALUES OF CLOSED-LOOP SYSTEM ARE DESIRABLE AND PRESCRIBED. A SIMPLE ALGORITHM AND AN EXAMPLE IS GIVEN TO ILLUSTRATE THE RESULTS.

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