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Solutions to the combined sensitivity and complementary sensitivity problem in control systems

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3 Author(s)
A. E. B. Lim ; Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia ; Wei-Yong Yan ; K. L. Teo

In a recent paper, a set of necessary and sufficient conditions for the existence of solutions to the combined sensitivity and complementary sensitivity (CSCS) problem in control systems was given. However, a practical method for constructing solutions to this problem was not presented. The computation procedure that was proposed involves constructing a sequence of rational functions to approximate an irrational function and may result in complicated high-order controllers. In this paper, we consider the synthesis aspect of the CSCS problem and derive an algorithm for constructing controllers that solve our CSCS problem in a simple manner. Moreover, an error in the closed-form solution of the Nevanlinna-Pick interpolation problem is revealed

Published in:

IEEE Transactions on Automatic Control  (Volume:41 ,  Issue: 12 )