Advanced H∞ Control : Towards Nonsmooth Theory and Applications

種類:

電子ブック

責任表示:

by Yury V. Orlov, Luis T. Aguilar

出版情報:

New York, NY : Springer New York : Imprint: Birkhäuser, 2014

著者名:

• Orlov, Yury V.
• Aguilar, Luis T.
• SpringerLink (Online service)

シリーズ名:

Systems & Control: Foundations & Applications ;

ISBN:

9781493902927 [149390292X]    

注記:

This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H∞ approach in the nonsmooth setting. Similar to the standard nonlinear H∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements. Advanced H∞ Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton–Jacobi–Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimen

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