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DESIGN OF OPTIMAL CONTROL SYSTEMS WITH EIGENVALUE PLACEMENT IN A SPECIFIED REGION
Author(s) -
Arar AbdulRazzaq,
Sawan M. E.,
Rob R. A.
Publication year - 1995
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/j.1099-1514.1995.tb00011.x
Subject(s) - weighting , eigenvalues and eigenvectors , control theory (sociology) , linear quadratic regulator , minification , linear system , full state feedback , matrix (chemical analysis) , optimal control , quadratic equation , state (computer science) , mathematics , closed loop pole , mathematical optimization , linear quadratic gaussian control , computer science , control (management) , algorithm , mathematical analysis , geometry , medicine , physics , materials science , quantum mechanics , artificial intelligence , composite material , radiology
SUMMARY A recursive method for determining the state weighting matrix of a linear quadratic regulator problem in order to shift the open‐loop poles inside a vertical strip is presented. This method is capable of shifting both real and imaginary parts for continuous time systems. Aggregation is used in each step of the recursive process. Therefore each time the order of the system is reduced to first‐ or second‐order. In this paper we combine the well‐known aggregation technique and the non‐linear constrained minimization problem and develop a new algorithm for determining the state weighting matrix which shifts the open‐loop poles inside the desired vertical strip.