H∞ control and robustness
In the following chapters, we will study the H ∞ control problem and the related problem of robust stability. A main motivation for this problem was robust stability. We would like to guarantee the stability of a plant even if the model on the basis of which the controller was designed is not a perfect representation of the behavior of the plant. On the other hand it also yields a clear link between several classical frequency-domain methods and more recent state space methods. This book has focused completely on state space methods. This is in contrast with some of the classical control books which focus almost entirely on frequency domain methods. H ∞ control is actually very useful as a link between these two approaches. In this chapter, we introduce the H ∞ control problem and show its connection with robust stability and some of its links to classical frequency domain methods.
KeywordsControl Problem Transfer Matrix Riccati Equation Phase Margin Algebraic Riccati Equation
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