Betts, an author who has worked in aerospace and specializes in optimal control methods, nonlinear programming, and optimal control theory, explains practical methods for solving optimal control problems using nonlinear programming. He first addresses the optimization part of the problem, including concepts of nonlinear programming for small dense applications and problems that are both large and sparse, then addresses the differential equation part of the problem, including the numerical solution of differential and differential-algebraic equations, methods for solving the optimal control problem, how to solve optimal estimation or inverse problems using the direct transcription method, the use of optimal control techniques for applications defined by partial differential equations, applications to problems that have delays in the state or control leading to dynamics defined by delay-differential equations, advanced applications, and problems that can be used to test the efficiency and reliability of computational implementations. He includes examples from the aerospace industry. Proficiency in advanced mathematics is assumed, but the book does not include theorems. Updated, this edition includes new material on implicit Runge-Kutta discretization techniques, new chapters on partial differential equations and delay equations, and about 70 test problems and open source FORTRAN code for them. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
