By Lars Valerian Ahlfors, Lipman Bers
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Extra info for Advances in the Theory of Riemann Surfaces, Proceedings of the 1969 Stony Brook Conference
Fig. 5: Power spectrum of the output . I -15 . 7. Hovering of a Y shape plate with a heavy toolbox placed on showing robustness of the ILQG servosystem. REFERENCE Fujii, T. ( 1987) . A new approach to LQ de sign from the viewpoint of the inverse regulator problem. IEEE Trans. A ut. Control AC-32, 995- 1 004. , Y. Nishimura, T. Shimomura and S. Kawarabayashi ( 1 987) . A Practical Approach to LQ design and its application to en gine control. Proc. FA G World Congress, pp.
2. , 1 980). I. 29 Jack-Knife the feedback (5) exist). (3) u = Fx. This controller, however, guarantees the stability of the closed loop system only in a (small) neigh borhood of the origin (x = 0). It is because the linearized system approximates the dynamics of the original nonlinear system at the origin. Thus, if the initial condition x(O) is far from the origin, the controller no longer guarantees the stability of the closed loop system. 1 . 2. X-axis is the desired path. (X, Y) are Cartesian coordinates which represent the posi tion of the vehicle.
1993). Each program includes demon stration: such as, graphical explanation of mechatronic com ponents or system, simulation, control system design or con trol of real plant through interface as follows. 3 Actuator and Sensor The fundamental actuating theory and operation of servo actuators are introduced. Then the servo sensors are ex plained. The program includes: Introduction of Mechatronics and Con trol The concept of control system is introduced in chapter 1. The CAI program demonstrates how the control system op erates: ( 1 ) Stepping motor (2) DC motor (3) Absolute encoder (4) Incremental encoder (1) What is control system (2) Open loop control and closed loop (feedback) control (3) Analog control and digital control Figures 4 indicates the graphical demonstration of the opti cal encoder.
Advances in the Theory of Riemann Surfaces, Proceedings of the 1969 Stony Brook Conference by Lars Valerian Ahlfors, Lipman Bers