A NEW APPROACH TO THE SOLUTION OF SENSITIVITY MINIMIZATION IN LINEAR STATE FEEDBACK CONTROL

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KARBASI S.M.; SOLTANIAN F.

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2007 | Volume:2 | Issue:1 Page(s): 1-13

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Title

A NEW APPROACH TO THE SOLUTION OF SENSITIVITY MINIMIZATION IN LINEAR STATE FEEDBACK CONTROL

Author(s)

KARBASI S.M. | SOLTANIAN F. | Issue Writer Certificate

Keywords

STATE FEEDBACK

CONTROL THEORY

MATRIX ALGEBRA

SENSITIVITY MINIMIZATION

ROBUSTNESS

Abstract

In this paper, it is shown that by exploiting the explicit parametric STATE FEEDBACK solution, it is feasible to obtain the ultimate solution to minimum sensitivity problem. A numerical algorithm for construction of a robust STATE FEEDBACK in eigenvalue assignment problem for a controllable linear system is presented. By using a generalized parametric vector companion form, the problem of eigenvalue assignment with minimum sensitivity is re-formulated as an unconstrained minimization problem. The derived explicit expressions of the solutions allow minimization of the sensitivity problem by using a powerful search technique.

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APA: Copy

KARBASI, S.M., & SOLTANIAN, F.. (2007). A NEW APPROACH TO THE SOLUTION OF SENSITIVITY MINIMIZATION IN LINEAR STATE FEEDBACK CONTROL. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 2(1), 1-13. SID. https://sid.ir/paper/310301/en

Vancouver: Copy

KARBASI S.M., SOLTANIAN F.. A NEW APPROACH TO THE SOLUTION OF SENSITIVITY MINIMIZATION IN LINEAR STATE FEEDBACK CONTROL. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2007;2(1):1-13. Available from: https://sid.ir/paper/310301/en

IEEE: Copy

S.M. KARBASI, and F. SOLTANIAN, “A NEW APPROACH TO THE SOLUTION OF SENSITIVITY MINIMIZATION IN LINEAR STATE FEEDBACK CONTROL,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 2, no. 1, pp. 1–13, 2007, [Online]. Available: https://sid.ir/paper/310301/en

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