Download A Primer on Pontryagin’s Principle in Optimal Control PDF EPUB
Author: I. Michael Ross
Pages: 102
Size: 3.879,60 Kb
Publication Date: November 13,2009
Category: Robotics & Automation
This book introduces students to Pontryagin’s “Optimum” Principle in a tutorial style. How exactly to formulate an ideal control issue and how exactly to apply Pontryagin’s theory will be the main topics.2 A Control-Constrained Problem 4.1 One-Dimensional Problems 4. A whole chapter is focused on solved example complications: from the classical Brachistochrone issue to modern space automobile guidance. These good examples are also utilized to show how exactly to obtain optimal non-linear feedback control. Learners in engineering and mathematics will see this book to become a useful complement with their lecture notes. Desk of Contents: 1 Issue Formulation 1.1 The Brachistochrone Paradigm 1.3.1 Velocity Steering 4.2 KKT Circumstances for Problem HMC 2.1 A SIMPLE Control Issue 2.1.3 Time-Varying Control Space 3 Example Problems 3.1.4 THE MARK Set 1.2 A SIMPLE Control Issue 1.2.1 Linear-Quadratic Problems 4.2.2 Trajectory Optimization and Feedback Control 2 Pontryagin’s Basic principle 2.2 Scaling Equations 1.2 Necessary Conditions 2.3.3.1 Short History 2.1.1.3.3 Alternative Issue Formulations 1.1 The Brachistochrone Issue Redux 3.2.3 A Time-Optimal Control Problem 3.4 AN AREA Guidance Problem 4 Workout Problems 4. Statistics are utilized extensively to check the ideas.1.1 Issue Statement 1.2 Fuller’s Issue 4. Numerous illustrations are accustomed to discuss pitfalls in issue formulation.2 Double Integrator Complications 4.2.1 L1-Optimal Control 4.2 A Linear-Quadratic Issue 3.1.3 Orbital Maneuvering Complications 4.3 Minimizing the Hamiltonian 2.1 Advancement of a Issue Formulation 1.3.2 Max-Energy Orbit Transfer 4.3.3 Min-Period Orbit Transfer References Index