Volume 1: Chapter 1,2 Modern Control Theory—Optimal Control —( An undergraduate optional course )HuiPENGPhD, Professor( http://deptauto.csu.edu.cn/staffmember/HuiPeng.htm)Department of AutomationSchool of Information Science & EngineeringCentral South University Changsha, Hunan 410083, ChinaContentsChapter 1 IntroductionChapter 2 Static Optimization Chapter 3 VariationalMethodsChapter 4 The Pontryagin Minimum PrincipleChapter 5 Discrete-Time Optimal ControlChapter 6 Dynamic ProgrammingChapter 7 Minimum Time Optimal ControlChapter 8 Linear-Quadratic Optimal ControlChapter 1 Introduction1.1 Overview1.2 Basic problems of optimization1.3 Optimal control problems1.4 Solution methods of optimization1.1 OverviewChronological History of Feedback Control1624, Drebble, Incubator (hatch chicks)1728, Watt, Flyballgovernor1868, Maxwell, Flyballstability analysis1877, Routh, Stability1890, Liapunov, Nonlinear stability1910, Sperry, Gyroscope and autopilot1927, Black, Feedback electronic amplifierBush, Differential analyzer1932, Nyquist, Nyquiststability criterion1936, Callender, PID controller1938, Bode, frequency response methods1942, Wiener, Optimal filter design1947, Hurewicz, Sampled data systemsNichols, Nichols chart1948, Evans, Root locus1950, Kochenberger, Nonlinear analysis1956, Pontryagin, Minimum principle1957, Bellman, Dynamic programmingClassical Control TheoryModern Control Theory1.1 OverviewModern Control Theory1.1 OverviewMain contents of optimal controlApproaches:•The calculus of variations (Variationalmethods)•The minimum principle•Dynamic programmingOptimization problems:•Minimization or Maximization•Differential games (min-max)1.1 OverviewMain branches of optimal controlOptimal control of distributed parameter systems;Stochastic optimal control;Adaptive optimal control;Optimal contro...
