02382nmm a2200349 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002100139245009500160250001700255260006300272300003100335505007600366653001700442653003100459653003600490653003100526653003100557653001800588653002400606653001300630653002800643710003400671041001900705989003600724856007200760082001000832520119000842EB000377986EBX0100000000000000023103800000000000000.0cr|||||||||||||||||||||130626 ||| eng a97835406943801 aGeering, Hans P.00aOptimal Control with Engineering ApplicationshElektronische Ressourcecby Hans P. Geering a1st ed. 2007 aBerlin, HeidelbergbSpringer Berlin Heidelbergc2007, 2007 aIX, 134 pbonline resource0 aOptimal Control -- Optimal State Feedback Control -- Differential Games aMechatronics aComputational intelligence aControl, Robotics, Mechatronics aControl and Systems Theory aComputational Intelligence aSystem theory aControl engineering aRobotics aSystems Theory, Control2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005- uhttps://doi.org/10.1007/978-3-540-69438-0?nosfx=yxVerlag3Volltext0 a629.8 aBecause the theoretical part of the book is based on the calculus of variations, the exposition is very transparent and requires mostly a trivial mathematical background. In the case of open-loop optimal control, this leads to Pontryaginâ€™s Minimum Principle and, in the case of closed-loop optimal control, to the Hamilton-Jacobi-Bellman theory which exploits the principle of optimality. Many optimal control problems are solved completely in the body of the text. Furthermore, all of the exercise problems which appear at the ends of the chapters are sketched in the appendix. The book also covers some material that is not usually found in optimal control text books, namely, optimal control problems with non-scalar-valued performance criteria (with applications to optimal filtering) and Lukesâ€™ method of approximatively-optimal control design. Furthermore, a short introduction to differential game theory is given. This leads to the Nash-Pontryagin Minimax Principle and to the Hamilton-Jacobi-Nash theory. The reason for including this topic lies in the important connection between the differential game theory and the H-control theory for the design of robust controllers