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Rational approximation of L1 optimal controllers for SISO systems

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3 Author(s)
Y. Ohta ; Osaka Univ., Japan ; H. Maeda ; S. Kodama

The L1 optimal control problem with rational controllers for continuous-time systems is considered in which it is shown that the optimal L1 performance index with rational controllers is equal to that of irrational controllers. A sequence of rational controllers that approximates the optimal index is constructed. Convergence properties of such a sequence are studied. That the corresponding sequence of objective transfer functions is shown to converge in weak-* topology in BV(R+) in the time domain and uniformly in a wider sense in the frequency domain

Published in:

IEEE Transactions on Automatic Control  (Volume:37 ,  Issue: 11 )