Controller Design Procedure for Two-Mass Systems With Single Flexible Mode

Author(s):  
Young Joo Shin ◽  
Peter H. Meckl

Many manufacturing machines must execute motions as quickly as possible to achieve profitable high-volume production. Most of them exhibit some flexibility, which makes the settling time longer and controller design difficult. This paper develops a control strategy that combines feedforward and feedback control with command shaping for systems with collocated actuator and sensor. First, a feedback controller is designed to increase damping and eliminate steady-state error. Next, an appropriate reference profile is generated using command-shaping techniques to ensure fast point-to-point motions with minimum residual vibration. Finally, a feedforward controller is designed to speed up the transient response. The proposed proportional-integral-derivative (PID) controller design ensures that two important resonant frequencies nearly match, making the design of the input commands much simpler. The resulting control strategy is successfully demonstrated for a generic dimensionless system that incorporates some modeling errors to assess robustness.

Author(s):  
Peter H. Meckl ◽  
Young Joo Shin

Many manufacturing devices must execute motions as quickly as possible to achieve profitable high-volume production. This paper develops a control strategy that combines feedforward and feedback control with command shaping. First, the feedback controller is designed to increase damping and eliminate steady-state error. Next, the feedforward controller is designed to speed up the transient response. Finally, an appropriate reference profile is generated using command-shaping techniques to ensure fast point-to-point motions with minimum residual vibration. The particular focus of the paper is to understand the interactions between these individual control components. The resulting control strategy is demonstrated on a model of a high-speed semiconductor manufacturing machine.


2015 ◽  
Vol 66 (1) ◽  
pp. 19-25 ◽  
Author(s):  
Vojtech Veselý ◽  
Adrian Ilka

Abstract A novel methodology is proposed for robust gain-scheduled PID controller design for uncertain LPV systems. The proposed design procedure is based on the parameter-dependent quadratic stability approach. A new uncertain LPV system model has been introduced in this paper. To access the performance quality the approach of a parameter varying guaranteed cost is used which allowed to reach for different working points desired performance. Numerical examples show the benefit of the proposed method.


2018 ◽  
Vol 2 (1) ◽  
Author(s):  
Murat Mayda

In this paper, the design procedure; modeling and controller design, testing are presented. Extensive tests have shown that the system reacts rapidly to changes in the operating conditions and effectively rejects disturbances due to unexpected changes in the quality of the material. This paper is the design and experimental testing of a feedback control system for the regulation of the volumetric flow in a polymer single screw extruder. Extruder temperature control is a challenging control problem. The problem becomes even more challenging when multiple barrel are included, such as in barrel temperature control for extruders. When characteristics of the system are examined, it becomes clear that a commonly used proportional plus compound plus derivative PID controller cannot meet such performance specifications for this kind of system. In order to achieve the required performance, a control strategy that utilizes techniques such as model predictive control, autotuning, and multiple parameter PID is formulated. This control strategy proves to be very effective in achieving the desired specifications.


2019 ◽  
Vol 70 (6) ◽  
pp. 499-501
Author(s):  
Vojtech Veselý ◽  
Ladislav Körösi

Abstract The paper deals with the problem to obtain robust PID controller design procedure to linear time invariant descriptor uncertain polytopic systems using descriptor system stability theory and H2 criterion approach in the form of quadratic cost function. In the frame of Lyapunov function, H2 quadratic cost function and Bellman-Lyapunov equation the obtained designed novel procedure guarantees the robust properties of closed-loop system with parameter dependent quadratic stability/quadratic stability. In the obtained design procedure, the designer could use controller with different structure like as P, PI, PID, PI-D. For PI-D controllers D-part feedback the designer could choose any available output/state derivative variables of real systems. The effectiveness of the obtained results is demonstrated on the randomly generated examples.


2014 ◽  
Vol 952 ◽  
pp. 279-282
Author(s):  
Hong Hua Xu ◽  
Li Li ◽  
Hong Yu Zhai

Control system of microcomputer controlled electro-hydraulic servo rock three triaxial test instrument adopts closed loop control and the control strategy is based on PID control. Because the conventional PID control cannot meet the control accuracy and stability of system, the intelligent fuzzy controller is introduced to realize the automatic processing in control process. The fuzzy PID controller's design procedure is given to determine the fuzzy domain, fuzzy rules, calculating the reference method and defuzzification process of membership function.


1990 ◽  
Vol 112 (4) ◽  
pp. 667-674 ◽  
Author(s):  
S. P. Bhat ◽  
D. K. Miu

Control strategies to accomplish precise point-to-point positioning of flexible structures are discussed. First, the problem is formulated and solved in closed form using a linear quadratic optimal control technique for a simple system with only one rigid and one flexible mode; the resulting analytical solutions are examined in both the time and frequency domain. In addition, the necessary and sufficient condition for zero residual vibration is derived which simply states that the Laplace transform of the time bounded control input must vanish at the system poles. This criteria is then used to highlight the common features of existing techniques and to outline an alternative design procedure for precise position control of more complicated structures having multiple flexible modes.


1990 ◽  
Vol 112 (3) ◽  
pp. 325-336 ◽  
Author(s):  
M. J. Grimble

A review is given of the new H∞ Observations Weighted (HOW) optimal control law. The conditions under which the H∞ controller has a PID structure are identified and some implications for PID controller design are discussed. The simple form of this H∞ control law makes it easy to analyse and design. Examples are presented of the design procedure which involves the specification of the cost-function weighting transfer functions. The controller may be applied in applications where fast computational procedures are important.


2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Murat Mayda

In this paper, the design procedure; modeling and controller design, testing are presented. Extensive tests have shown that the system reacts rapidly to changes in the operating conditions and effectively rejects disturbances due to unexpected changes in the quality of the material. This paper is the design and experimental testing of a feedback control system for the regulation of the volumetric flow in a polymer single screw extruder. Extruder temperature control is a challenging control problem. The problem becomes even more challenging when multiple barrel are included, such as in barrel temperature control for extruders. When characteristics of the system are examined, it becomes clear that a commonly used proportional plus compound plus derivative PID controller cannot meet such performance specifications for this kind of system. In order to achieve the required performance, a control strategy that utilizes techniques such as model predictive control, autotuning, and multiple parameter PID is formulated. This control strategy proves to be very effective in achieving the desired specifications.


2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Murat Mayda

In this paper, the design procedure; modeling and controller design, testing are presented. Extensive tests have shown that the system reacts rapidly to changes in the operating conditions and effectively rejects disturbances due to unexpected changes in the quality of the material. This paper is the design and experimental testing of a feedback control system for the regulation of the volumetric flow in a polymer single screw extruder. Extruder temperature control is a challenging control problem. The problem becomes even more challenging when multiple barrel are included, such as in barrel temperature control for extruders. When characteristics of the system are examined, it becomes clear that a commonly used proportional plus compound plus derivative PID controller cannot meet such performance specifications for this kind of system. In order to achieve the required performance, a control strategy that utilizes techniques such as model predictive control, autotuning, and multiple parameter PID is formulated. This control strategy proves to be very effective in achieving the desired specifications.


Author(s):  
M D Banea ◽  
L F M da Silva

The application of adhesively bonded joints in structural components made of composite materials for automotive industry applications has increased significantly in recent years and provides many benefits that will ultimately lead to lighter-weight vehicles, fuel savings, and reduced emissions. The principal benefits are design flexibility, opportunity for part consolidation, and joining of dissimilar materials. While much work has been conducted in adhesive bonding for the aerospace industry, the automotive industry does not currently have a full portfolio of processes and methods for evaluating candidate adhesives for use in bonding structural automotive components. Aerospace techniques and materials are not generally applicable, since the automotive industry must be more cognizant of cost and high volume production. In this article, the performances of two different adhesive types, an epoxy and a polyurethane, have been studied through bulk specimen and adhesive joint tests. Results showed that the failure loads of both the bulk test and joint test specimens vary with temperature and this needs to be considered in any design procedure. Also, for the polyurethane adhesive, the single lap joint is sufficient to determine the adhesive shear strength.


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