Abstract
This paper is intended as a tutorial on the most basic H ∞- control problem. The set-up is linear, time-invariant, finite-dimensional, continuous-time. The main theme is that the theory is most simply and elegantly developed in the framework of operators, while computations are most easily performed using state-space methods. (Thus state-space methods serve merely as slaves in an input-output setting.) The results are summarized in the form of algorithms, primarily to demonstrate that the computations can be done using off-the-shelf software.
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Francis, B.A. (1987). A Guide To H∞- Control Theory. In: Curtain, R.F. (eds) Modelling, Robustness and Sensitivity Reduction in Control Systems. NATO ASI Series, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87516-8_1
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DOI: https://doi.org/10.1007/978-3-642-87516-8_1
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