LEADER 03070nam 22005053 450 001 9910913792503321 005 20251116213719.0 010 $a9789819781676 010 $a9819781671 035 $a(CKB)36702056900041 035 $a(MiAaPQ)EBC31806898 035 $a(Au-PeEL)EBL31806898 035 $a(BIP)119305703 035 $a(BIP)116066657 035 $a(EXLCZ)9936702056900041 100 $a20241202d2025 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOptimization and Optimal Control in a Nutshell 205 $a1st ed. 210 1$aSingapore :$cSpringer,$d2025. 210 4$dİ2024. 215 $a1 online resource (127 pages) 225 1 $aEngineering Optimization: Methods and Applications Series 311 08$a9789819781669 311 08$a9819781663 330 $aThis book concisely presents the optimization process and optimal control process with examples and simulations to help self-learning and better comprehension. It starts with function optimization and constraint inclusion and then extends to functional optimization using the calculus of variations. The development of optimal controls for continuous-time, linear, open-loop systems is presented using Lagrangian and Pontryagin-Hamiltonian methods, showing how to introduce the end-point conditions in time and state. The closed-loop optimal control for linear systems with a quadratic cost function, well-known as the linear quadratic regulator (LQR) is developed for both time-bound and time-unbounded conditions. Some control systems need to maximize performance alongside cost minimization. The Pontryagin's maximum principle is presented in this regard with clear examples that show the practical implementation of it. It is shown through examples how the maximum principle leads to control switching and Bang-Bang control in certain types of systems. The application of optimal controls in discrete-time open-loop systems with the quadratic cost is presented and then extended to the closed-loop control, which results in the model predictive control (MPC). Throughout the book, examples and Matlab simulation codes are provided for the learner to practice the contents in each section. The aligned lineup of content helps the learner develop knowledge and skills in optimal control gradually and quickly. 410 0$aEngineering Optimization: Methods and Applications Series 606 $aMATHEMATICS / Discrete Mathematics$2bisacsh 606 $aMATHEMATICS / Optimization$2bisacsh 606 $aTECHNOLOGY & ENGINEERING / Electrical$2bisacsh 615 7$aMATHEMATICS / Discrete Mathematics 615 7$aMATHEMATICS / Optimization 615 7$aTECHNOLOGY & ENGINEERING / Electrical 700 $aMunasinghe$b Sudath Rohan$01777453 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910913792503321 996 $aOptimization and Optimal Control in a Nutshell$94298245 997 $aUNINA