Titlebook: Applied and Computational Optimal Control; A Control Parametriz Kok Lay Teo,Bin Li,Volker Rehbock Book 2021 The Editor(s) (if applicable) a

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Book 2021from this book may inspire advancement of new techniques to solve complex problemsthat arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may

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https://doi.org/10.1007/978-94-009-8414-1 to solve this general optimization problem with continuous inequality constraints. We then move on to introduce the second approach (i.e., the exact penalty function approach) to solving the same class of continuous inequality constrained optimization problems.

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1931-6828 se in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may 978-3-030-69915-4978-3-030-69913-0Series ISSN 1931-6828 Series E-ISSN 1931-6836

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Introduction,may constitute a set of differential equations (ordinary or partial) or a set of difference equations. These equations may be deterministic or stochastic in nature. Furthermore, optimal control problems are often subject to constraints on the state and/or control. These constraints arise due to engi

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Unconstrained Optimization Techniques,n with a novel time scaling transform. Essentially, an optimal control problem with its control functions being approximated by an appropriate linear combination of spline functions is reduced to an optimal parameter selection problem.

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Optimization Problems Subject to Continuous Inequality Constraints,traints. The first approach is known as the constraint transcription method, while the other approach is referred to as an exact penalty function method. To begin, we first consider the problem of finding a feasible solution to a system of nonlinear inequality constraints. Using the constrained tran

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Discrete Time Optimal Control Problems,shion. In this chapter, we first use the dynamic programming approach to study a class of discrete time optimal control problems. We then move on to consider a general class of constrained discrete time optimal control problems in canonical form. An efficient algorithm supported by a rigorous conver