## Abstract

In Chap. 6 we studied the basic structure and fundamental properties of MIMO feedback systems. This chapter and the following two are concerned with controller synthesis. The idea is to consider the feedback system as a linear operator which maps the input **w** onto the output **z**. The feedback loop is given as in Sect. 6.5.1, which means in particular that the plant may contain weights. These weights formulate the design goals and the controller has to be constructed in such a way that it minimizes the operator norm of the feedback system. Operator norms of linear systems governed by ordinary differential equations were introduced in the previous chapter. The most important norms for controller synthesis are the *H* _{ 2 } norm and the *H* _{ ∞ } norm.

## Keywords

Optimal Control Problem Power Spectral Density Riccati Equation Imaginary Axis Positive Semidefinite## Preview

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## Notes and References

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