In this work we study the numerical approximation of the solutions of a class of abstract parabolic time optimal control problems. Our main results assert that, provided that the target is a closed ball centered at th...
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ISBN:
(纸本)9781467371605
In this work we study the numerical approximation of the solutions of a class of abstract parabolic time optimal control problems. Our main results assert that, provided that the target is a closed ball centered at the origin and of positive radius, the optimal time and the optimal controls of the approximate time optimal problems converge to the optimal time and to the optimal controls of the original problem. In order to prove our main theorem, we provide a nonsmooth data error estimate for abstract parabolic systems.
This special issue contains the revised and updated versions of the papers presented in the session on adaptive identification and control held at the 45th IEEE Control and Decision Conference in San Diego, CA, on Dec...
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This special issue contains the revised and updated versions of the papers presented in the session on adaptive identification and control held at the 45th IEEE Control and Decision Conference in San Diego, CA, on December 12–15, 2006, co-organized and co-chaired by Joseph Bentsman and Miroslav Krstic. Covering stochastic modeling and identification, adaptive identification and control, and automated fault detection for distributed parameter systems governed by partial differential and functional equations, the papers provide a coherent selection of novel results in the area.
作者：
Jyh-Feng LinJwusheng HuDept. of Electrical and Control Engineering
National Chiao Tung Ulniversity Hsinchu Taiwan. Jhy-Feng Lin received the B.S. degree from the Department of Mechanical Engineering
National Taiwan University Taiwan in 1984 and the M.S. degree from the Institute of Aeronautics and Astronautics National Cheng Kung University Taiwan in 1986. He is currently working toward the Ph.D. degree at the Department of Electrical and Control Engineering National Chiao-Tung University Taiwan. Jwu-Sheng Hu received the B.S. degree from the Department of Mechainical Engineering
National Taiwan University Taiwan in 1984 and the M.S. and Ph.D. degrees from the Department of Mechanical Engineering University of California at Berkeley in 1988 and 1990 respectively. He is currently a professor in the Department of Electrical and Control Engineering National Chiao-Tung University Taiwan. His current reserarch interests include active noise control software engineering for realtime control and applications of digital signal processors.
A study of active vibration control of axially moving string-like system is presented in this paper. The approach is based on the concept of wave absorption or impedance matching through placement of both sensors and ...
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A study of active vibration control of axially moving string-like system is presented in this paper. The approach is based on the concept of wave absorption or impedance matching through placement of both sensors and actuators in domain. A classical model-matching framework for disturbance rejection is used to solve the control laws. For SISO cases, perfect wave absorption can be achieved if one of the boundary conditions is known. Further, by moving both the sensor and actuator to the boundary, the in-domain control laws become the boundary controllers derived by previous researchers. To avoid the requirement of knowing the boundary condition precisely, a two-sensor control law is then proposed. The resulting controller, though boundary independent, contains an infinite number of poles on the imaginary axis, and the closed-loop system is not internally stable. A simple “notch filter” is added to the control law, and the stability of as well as deterioration in performance are analyzed. Numerical results for a moving string system under external excitation are presented to demonstrate the effectiveness of this controller.
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