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.
KeywordsRiccati Equation Output Feedback Imaginary Axis Optimal Controller Characterization Theorem
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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