In the last chapter, we considered the problem of minimizing F zw with respect to the H 2 norm. The performance specifications were given in the time domain. As we have seen in Chap. 3 for SISO problems, for specifications in the frequency domain the H ∞ norm is an adequate tool. In this way we are naturally lead to the question of how controllers can be characterized in a way which minimizes the closed-loop transfer function F zw with respect to the H ∞ norm. There are two important methods for solving this problem. One is based on two Riccati equations similar to those used in the H 2 problem. It will be analyzed in this chapter, whereas the other method uses linear matrix inequalities and is presented in the next chapter.
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Notes and References
- Zhou, K., Doyle, J. and Glover, K.: Robust and Optimal Control, Prentice Hall, Englewood Cliffs, New Yersey, 1995.Google Scholar