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Book Synopsis
The performance of a process, such as aircraft fuel consumption, can be enhanced when its most effective controls and operating points are determined. Primer on Optimal Control Theory provides an introduction to the theory behind analysing these processes and finding the best controls, which provides a sound basis for those wishing to tackle more advanced literature. The book presents the important concepts of weak and strong control variations leading to local necessary conditions, and also global sufficiency of HamiltonâJacobiâBellman theory. It also gives the second variation for local optimality where the associated Riccati equation is derived from the transition matrix of the Hamiltonian system. These ideas lead naturally to the development of H2 and Hâž synthesis algorithms. This book will enable applied mathematicians, engineers, scientists, biomedical researchers, and economists to understand and implement optimal control theory at a level of sufficient generality and applicabi

Primer on Optimal Control Theory 20 Advances in Design and Control Series Number 20

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    A Hardback by Jason L. Speyer

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      View other formats and editions of Primer on Optimal Control Theory 20 Advances in Design and Control Series Number 20 by Jason L. Speyer

      Publisher: Society for Industrial and Applied Mathematics
      Publication Date: 5/13/2010
      ISBN13: 9780898716948, 978-0898716948
      ISBN10: 0898716942

      Description

      Book Synopsis
      The performance of a process, such as aircraft fuel consumption, can be enhanced when its most effective controls and operating points are determined. Primer on Optimal Control Theory provides an introduction to the theory behind analysing these processes and finding the best controls, which provides a sound basis for those wishing to tackle more advanced literature. The book presents the important concepts of weak and strong control variations leading to local necessary conditions, and also global sufficiency of HamiltonâJacobiâBellman theory. It also gives the second variation for local optimality where the associated Riccati equation is derived from the transition matrix of the Hamiltonian system. These ideas lead naturally to the development of H2 and Hâž synthesis algorithms. This book will enable applied mathematicians, engineers, scientists, biomedical researchers, and economists to understand and implement optimal control theory at a level of sufficient generality and applicabi

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