This course offers fundamentals of modern feedback control technique at the graduate school level, laying a great emphasis on, but not limiting to, the state space approaches.
More specifically, after a brief review of the classical feedback control, we are going to present state space formulation of open-loop plants, in terms of the state equation and the output equation, along with their properties. For this equation, the solution methods will be presented, as well as its controllability and observability will be investigated.
After covering the open-loop plants in this way, we are going to present some important feedback control laws: eigenvalue assignment techniques, linear quadratic optimal control, and a robust control law called Time-Delay Control. Since these control laws necessitate the feedback of states, the availability of states becomes crucial and is guaranteed by the observer. Hence observers will be introduced in conjunction with the controllers.
Last part of this course will be dedicated to the interpretation of the controller/observer designs in state space, in the light of frequency response characteristics. In addition, those designs will be compared with typical frequency-domain-control-designs such as lead-lag compensators, so that further insights may be gained.