PDE Modeling and Boundary Control for Flexible Mechanical System

2020 ◽  
Author(s):  
Zhijie Liu ◽  
Jinkun Liu
Keyword(s):  
Mechanical System ◽  
Boundary Control ◽  
Flexible Mechanical System

On Time Delay in Noncolocated Control of Flexible Mechanical Systems

1992 ◽  
Vol 114 (3) ◽  
pp. 409-415 ◽  
Author(s):  
B. Yang ◽  
C. D. Mote
Keyword(s):  
Control System ◽  
Time Delay ◽  
Mechanical System ◽  
Mechanical Systems ◽  
Vibration Measurement ◽  
System Response ◽  
Specific Time ◽  
Sensors And Actuators ◽  
Stabilizing Controllers ◽  
Flexible Mechanical System

A new method is presented for noncolocated control of flexible mechanical systems. The destabilizing effect of noncolocation of sensors and actuators is eliminated through introduction of specific time delay block(s) in the control system. The time delay constants in those blocks depend on the system eigenstructure. For a given flexible mechanical system, if there exists a time delay relation, the system response at one point can be exactly predicted from the vibration measurement at other point(s) of the system. In this case all stabilizing controllers from colocated control can be directly used. The time delay theory is verified by experiments on noncolocated control of a translating string.

Formulas for Computing Closed-Loop Time Responses of Flexible Systems Using Truncated Models

1992 ◽  
Vol 114 (4) ◽  
pp. 589-591
Author(s):  
N. F. Lacey ◽  
Y. Chait ◽  
C. B. MacCluer
Keyword(s):  
Mechanical System ◽  
Closed Loop ◽  
Damping Ratio ◽  
Time Response ◽  
Upper And Lower Bounds ◽  
Vibration Modes ◽  
Flexible Systems ◽  
Control Solution ◽  
Single Input ◽  
Flexible Mechanical System

In this paper we derive formulas for computing the closed-loop time response of an uncertain flexible mechanical system with a truncated model. It is assumed that the dynamics of the flexible mechanical system is described by an infinite series of lightly damped vibration modes. The modal parameters, damping ratio, and natural frequency, are assumed to lie within known ranges. Given a truncated model and a robust control solution, our formulaes define upper and lower bounds for the time response of single-input/output systems about the closed-loop response of the truncated model.

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