Beschreibung:
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.
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