Robust Stabilisation and Hinfinity Problems

Robust Stabilisation and Hinfinity Problems

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This study covers the combined treatment of several problems of control systems theory, such as the H control problem, the Nehari problem and robust stabilisation. These topics are described from a perspective which is essentially created by an original generalization of the algebraic Riccati theory to the indefinite sign case. The theory is developed using methods including the Popov function, the Kalman-Popov-Yakubovich system in J-form, and the extended Hamiltonian pencil. The signature condition on the Popov function plays a crucial role in providing the unified approach to solving the control problems considered. Particular attention is paid to the optimal solutions of the H control problem and the Nehari problem for which a singular perturbation-based technique is employed to derive explicit well-conditioned computational formulae. Numerical examples, mainly from aeronautics, illustrate the performances of the proposed procedures and design algorithms.
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Product details

  • Hardback | 200 pages
  • 165.1 x 241.3 x 20.32mm | 385.55g
  • Dordrecht, Netherlands, United States
  • English
  • bibliography, index
  • 0792357531
  • 9780792357537

Table of contents

Preface. Acronyms, Notations, and Symbols. 1. Linear Systems: Some Prerequisites. 2. The Kalkman-Popov-Yakubovich System of Indefinite Sign. 3. H Control: A Signature Condition Based Approach. 4. The Nehari Problem. 5. Optimal H Problems: A Singular Perturbation Approach. 6. Singular H Problems. Bibliography. Index.
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Review quote

`This is a useful book oriented to researchers, control systems engineers and applied mathematicians as well as to graduate students. Specialists in numerical computations will also find interesting issues in this book.'
Mathematical Reviews
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