Eigenstructure assignment in a class of second-order dynamic systems. (English) Zbl 1171.93332
Summary: Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of second-order dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established based on two simple Smith form reductions. The approach utilizes directly the original system data and involves manipulations only on \(n\)-dimensional matrices. Furthermore, it reveals all the degrees of freedom which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.
MSC:
| 93B60 | Eigenvalue problems |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93B52 | Feedback control |
Keywords:
second-order dynamic systems; eigenstructure assignment; proportional-plus-derivative control; parametric solutionsReferences:
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