Dynamic programming for impulse feedback and fast controls : the linear systems case

• 作者： Kurzhanski, Alexander B., author.
• 其他作者：
  • Daryin, Alexander N., author.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in control and information sciences ;
• 出版： London : Springer London :Imprint: Springer
• 叢書名： Lecture notes in control and information sciences,volume 468
• 主題： Dynamic programming. , Control and Systems Theory. , Systems Theory, Control.
• ISBN： 9781447174370 (electronic bk.) 、 9781447174363 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction: Why Impulses? -- Part I: Ordinary Impulses -- Open-Loop Impulse Control -- Closed-Loop Impulse Control -- Impulse Control under Uncertainty -- State-Constrained Impulse Control -- State Estimation Under Ordinary Impulsive Inputs -- Part II: Impulses of Higher Order. Realizability and Fast Control -- The Open-Loop and Closed-Loop Impulse Controls -- State-Constrained Control under Higher Impulses -- State Estimation and State-Constrained Control -- Generalized Duality Theory: The Increasing and Decreasing Lagrangian Scales -- Realistic Controls -- Closed-Loop Fast Controls -- Appendix: Uniqueness of Viscosity Solutions.
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• 摘要註: Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton-Jacobi-Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories. This book walks the readers through: the design and description of feedback solutions for impulse controls; the explanation of impulses of higher order that are derivatives of delta functions; the description of their physically realizable approximations - the fast controls and their approximations; the treatment of uncertainty in impulse control and the applications of impulse feedback. Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors, such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.
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