Abstract
In the last few years, the solution of the H ∞ (sub)optimal control problem via state-space methods was developed by several authors (for a rather comprehensive coverage of this subject the reader may consult the paper [1] and the theses [2] [3]). In the state-space formulation, the problem of minimizing the H ∞ norm (or, equivalently, the L 2 gain) of a closed loop system is viewed as a two-person, zero sum, differential game and, thus, the existence of the desired controller can be related to the existence of a solution of the algebraic Riccati equations arising in linear quadratic differential game theory (see, e.g. [4], [5] and [6]).
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References
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Dedicato al maestro e amico Antonio Ruberti, in occasione del suo 65esimo compleanno, con profonda gratitudine per essere stato introdotto e autorevolmente guidato nella Teoria dei Sistemi e del Controllo e in particolare per essere stato indirizzato, con felice preveggenza, allo studio dei sistemi nonlineari.
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Isidori, A. (1992). Attenuation of Disturbances in Nonlinear Control Systems. In: Isidori, A., Tarn, TJ. (eds) Systems, Models and Feedback: Theory and Applications. Progress in Systems and Control Theory, vol 12. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2204-8_20
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DOI: https://doi.org/10.1007/978-1-4757-2204-8_20
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