Optimal Design of ADAS Damped MDOF Structures

1999 ◽  
Vol 15 (2) ◽  
pp. 317-330 ◽  
Author(s):  
Yuri Ribakov ◽  
Jacob Gluck
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Numerical Analysis ◽  
Optimal Control Theory ◽  
Passive Control ◽  
Design Method ◽  
Viscous Damping ◽  
Viscous Dampers ◽  
Structural Frame ◽  
Different Levels

Incorporated at various levels of a structural frame, ADAS devices may be used to improve the response of the structure during earthquakes. A design method of a passive control system for multistory structures using optimal Adding Damping And Stiffness (ADAS) dampers is presented. Optimal Control Theory (OCT) is commonly used to obtain the levels of viscous damping at each story. The optimization leads to different levels of damping at each story. Therefore, a solution with viscous dampers is inconvenient and can be expensive. The proposed method enables the use of relatively less expensive optimal ADAS devices dissipating energy which is equivalent to that of viscous dampers. The method is examined in a numerical analysis of a seven-story shear framed structure. Significant improvement was obtained in the behavior of the ADAS damped structure compared to the uncontrolled one.

scholarly journals On Robustness of Design Method Based on Optimal Control Theory

1989 ◽  
Vol 25 (12) ◽  
pp. 1310-1315
Author(s):  
Hajime MAEDA ◽  
Kohji FUJITA ◽  
Keiji SAWADA ◽  
Shinzo KODAMA
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Design Method

scholarly journals Modeling and Optimal Control on the Spread of Hantavirus Infection

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1192 ◽  
Author(s):  
Fauzi Mohamed Yusof ◽  
Farah Aini Abdullah ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Control System ◽  
Maximum Principle ◽  
Optimal Control Theory ◽  
Necessary Condition ◽  
Hantavirus Infection ◽  
Kutta Method ◽  
Rodent Population ◽  
Runge Kutta Method

In this paper, optimal control theory is applied to a system of ordinary differential equations representing a hantavirus infection in rodent and alien populations. The effect of the optimal control in eliminating the rodent population that caused the hantavirus infection is investigated. In addition, Pontryagin’s maximum principle is used to obtain the necessary condition for the controls to be optimal. The Runge–Kutta method is then used to solve the proposed optimal control system. The findings from the optimal control problem suggest that the infection may be eradicated by implementing some controls for a certain period of time. This research concludes that the optimal control mathematical model is an effective method in reducing the number of infectious in a community and environment.

Semi-active control of space manipulator soft contacting based on magnetorheological rotational damper

2015 ◽  
Vol 230 (14) ◽  
pp. 2390-2398 ◽  
Author(s):  
Xiaoping Du ◽  
Hang Chen ◽  
Zhengjun Liu ◽  
Chao Wang
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Active Control ◽  
Optimal Control Theory ◽  
Passive Control ◽  
Control Force ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Space Manipulator ◽  
Dynamic Formulation

A novel soft contacting technology is proposed to reduce the risks of contacts that space manipulator is on-orbit service. The magnetorheological (MR) rotational damper is considered and utilized for cushioning and vibration reduction in the space manipulator. Based on the extended manipulator model, a linear dynamic formulation of free-floating space manipulator is built. Subsequently, the mechanical property of magnetorheological rotational damper is analyzed by using Bingham model. Then, the optimal control force can be obtained by using the linear quadratic optimal control theory. Finally, the optimal control force is served as the parameters to achieve the semi-active control of soft contacting by employing the clipped optimal control theory. The hard contacting and passive control technology are introduced to make comparison with the results of soft contacting. Some numerical simulations are made to demonstrate the validity and capability of the proposed soft contacting technology.

On the Optimal Digital State Vector Feedback Controller With Integral and Preview Actions

1979 ◽  
Vol 101 (2) ◽  
pp. 172-178 ◽  
Author(s):  
Masayoshi Tomizuka ◽  
Dan E. Rosenthal
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Optimal Control Theory ◽  
State Vector ◽  
Feedback Controller ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Future System ◽  
Control Situations ◽  
Quadratic Optimal Control

A digital state vector feedback controller with integral and preview actions, which can be called a proportional plus integral plus derivative plus preview (PIDP) controller, is derived based on linear quadratic optimal control theory. The preview action is a generalization of the feedforward concept which has been exercised in many process control situations. Preview of future system disturbance inputs is shown to be effective to improve the performance of the control system.

On the Linear Quadratic Optimal Systems Design in the Frequency Domain

1997 ◽  
Vol 119 (3) ◽  
pp. 581-584
Author(s):  
Chih-Min Lin ◽  
Tarn-Sea Lu
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Frequency Domain ◽  
Flight Control ◽  
Design Method ◽  
Systems Design ◽  
Linear Quadratic ◽  
Stability Margins ◽  
Single Input Single Output ◽  
Single Output

By frequency-domain approach, a synthesis methodology of single-input-single-output optimal control system is developed to ensure closed-loop stability and to minimize a linear quadratic cost function. Furthermore, the equivalent two-degree-of-freedom system is designed so that the feedback-loop can satisfy the return difference equality, i.e., this system possesses the system performance with the optimal control sense and the stability margins properties as in time-domain approach LQR optimal systems. The F-4E flight control system is considered as the design example to illustrate the validity of the design method.

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