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H∞ Optimal Control: Riccati-Approach

In: Robust Control Systems

Author

Listed:
  • Uwe Mackenroth

    (Fachhochschule Lübeck University of Applied Sciences, FB Maschinenbau und Wirtschaftsingenieurwesen)

Abstract

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.

Suggested Citation

  • Uwe Mackenroth, 2004. "H∞ Optimal Control: Riccati-Approach," Springer Books, in: Robust Control Systems, chapter 0, pages 249-288, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-09775-5_9
    DOI: 10.1007/978-3-662-09775-5_9
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