A Computation-Efficient Framework for the Integrated Design of Structural and Control Systems

2016 ◽  
Vol 138 (9) ◽  
Author(s):  
Yilun Liu ◽  
Lei Zuo
Keyword(s):  
Control System ◽  
Decentralized Control ◽  
Output Feedback ◽  
Structural Design ◽  
Design Problem ◽  
Design Method ◽  
Integrated Design ◽  
Design Parameters ◽  
Feedback Controllers ◽  
Control Techniques

This paper proposes a new integrated design method to simultaneously optimize the coupled structural parameters and controllers of mechanical systems by combining decentralized control techniques and Riccati-based control theories. The proposed integrated design method aims at minimizing the closed-loop H2 norm from the disturbance to the system cost. In this paper, the integrated design problems have been formulated in the cases of full state-feedback controllers and full order output-feedback controllers. We extend the current linear time invariant (LTI) control system to a more general framework suitable for the needs of integrated design, where the structural design is treated as a passive control optimization tackled by decentralized control techniques with static output feedback, while the active controller is optimized by solving modified Riccati equations. By using this dual-loop control system framework, the original integrated design problem is transferred to a constrained structural design problem with some additional Riccati-equation based constraints simultaneously integrating the controller synthesis. This reduces the independent design variables from the structural design parameters and the parameters of the controller to the structural design parameters only. As a result, the optimization efficiency is significantly improved. Then the constrained structural design problem is reformed as an unconstrained optimization problem by introducing Lagrange multipliers and a Lagrange function. The corresponding optimal conditions for the integrated design are also derived, which can be efficiently solved by gradient-based optimization algorithms. Later, two design examples, an active–passive vehicle suspension system and an active–passive tuned mass damper (TMD) system, are presented. The improvement of the overall system performance is also presented in comparison with conventional design methods.

Integrating Structure and Controller Design to Mechanical Systems via Decentralized Control Techniques

2015 ◽  
Author(s):  
Yilun Liu ◽  
Lei Zuo
Keyword(s):  
Mechanical System ◽  
Decentralized Control ◽  
Output Feedback ◽  
Optimization Problem ◽  
Passive Control ◽  
Design Method ◽  
Lagrange Function ◽  
Integrated Design ◽  
Feedback Controller ◽  
Control Techniques

The overall performance of the mechanical system can be significantly improved by concurrently optimizing the plant and the controller. This paper proposes a new integrated design method via decentralized control techniques to concurrently optimize the structure and the controller, which aims at minimizing the system H2 norm from the disturbance to the system cost. The integrated design problems have been formulated in the cases of a full state feedback controller and a full order output feedback controller respectively. Inspired by noticing that the control techniques are capable of optimizing both the parameters of passive springs and dampers and the controller for the mechanical system, we extend the current LTI control system to a more general framework suitable for the integrated design needs, where the structure design is treated as the passive control optimization tackled by decentralized control techniques with static output feedback, while the active controller is optimized by solving the modified Riccati equations. With the extended system framework, we transfer the original non-convex integrated optimization problem to an unconstrained optimization problem by introducing Lagrange multipliers and a Lagrange function. The gradient-based optimization method is employed to effectively find the optimality solution of the integrated design. Two design examples including an active-passive vehicle suspension system and an active-passive Tuned Mass Damper (TMD) system are designed by the proposed integrated design method. The improvement of the overall system performance due to the integrated design is also presented in comparison with the conventional design methods.

Reduction of Quantization Error in Multirate Output Feedback Control

2016 ◽  
Vol 28 (5) ◽  
pp. 640-645
Author(s):  
Takao Sato ◽  
◽  
Hironobu Sakaguchi ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Feedback Control ◽  
Output Feedback ◽  
Design Method ◽  
Output Feedback Control ◽  
Quantization Error ◽  
Design Parameters ◽  
Control Input ◽  
State Variables ◽  
Feedback Control System

[abstFig src='/00280005/04.jpg' width='250' text='Multirate output feedback control' ] In the new design method we propose for a multirate output feedback control system, the hold interval of control input is longer than the sampling interval of plant output. In this system, unknown state variables are calculated using control input and plant output without observers. The multirate output feedback control system has been extended by introducing new design parameters that are designed independent of the calculation of the state variable. To our knowledge, however, no systematic design scheme has ever been proposed for design parameters in this case. In this study, quantization error is dealt with statistically and design parameters are decided to minimize quantization error.

Robust Design Method of Multi-Degree-of-Freedom Passive Tuned Mass Damper by Control Theory

2006 ◽  
Author(s):  
Daisuke Iba ◽  
Arata Masuda ◽  
Akira Sone
Keyword(s):  
Feedback Control ◽  
Control Theory ◽  
Output Feedback ◽  
Design Problem ◽  
Design Method ◽  
Tuned Mass Damper ◽  
Degree Of Freedom ◽  
Design Parameters ◽  
Feedback Gain ◽  
Mass Damper

This paper proposes a design method of a multi degree of freedom passive tuned mass damper with robust performance. In this study, the passive tuned mass damper is designed from the view of feedback control theory. Design parameters of the general passive tuned mass damper can be thought to be a feedback gain, and designed by replacing the design problem of the passive tuned mass damper with the output feedback control problem. Moreover, for giving the tuned mass damper robustness, an extended model is constructed by two main systems that have maximum and minimum natural frequencies in the given variable domain of parameters, and one static output feedback H∞ controller reduces the maximum value of frequency response of the extended plant. In this paper, it was confirmed to be able to design the single-degree-of-freedom tuned mass damper with robustness by this method. Moreover, this method was enhanced to the design problem of the multi-degree-of-freedom tuned mass damper that was placed on the multi-degree-of-freedom vibration system, and finally a numerical simulation confirmed the effectiveness.

scholarly journals Robust optimization design of structures based on the specular reflection algorithm

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983413
Author(s):  
Qisong Qi ◽  
Qing Dong ◽  
Yunsheng Xin
Keyword(s):  
Robust Design ◽  
Structural Design ◽  
Optimization Design ◽  
Design Method ◽  
Specular Reflection ◽  
Design Parameters ◽  
Theoretical Design ◽  
Recent Advancement ◽  
Robust Optimization Design ◽  
Robust Design Method

The nominal values of structural design parameters are usually calculated using a traditional deterministic optimization design method. However, owing to the failure of this type of method to consider potential variations in design parameters, the theoretical design results can be far from reality. To address this problem, the specular reflection algorithm, a recent advancement in intelligence optimization, is used in conjunction with a robust design method based on sensitivity. This method not only is able to fully consider the influence of parameter uncertainty on the design results but also has strong applicability. The effectiveness of the proposed method is verified by numerical examples, and the results show that the robust design method can significantly improve the reliability of the structure.

A Passivity Based Decentralized Control Design Methodology With Application to Vehicle Dynamics Control

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
Carlos Villegas ◽  
Martin Corless ◽  
Wynita Griggs ◽  
Robert Shorten
Keyword(s):  
Control Systems ◽  
Decentralized Control ◽  
Output Feedback ◽  
Vehicle Dynamics ◽  
Design Methodology ◽  
Basic Problem ◽  
Control Design ◽  
Feedback Controllers ◽  
Structural Uncertainties ◽  
Vehicle Dynamics Control

A basic problem in the design of control systems is the lack of simple effective methods for designing decentralized control systems that are robust with respect to certain types of structural uncertainties. Here, we present one such design methodology that is based upon the Kalman–Yakubovich–Popov Lemma. Advantages of this approach include the ease with which output feedback controllers can be designed, and the fact that the design methodology and uncertainties are expressed using classical frequency domain notions. We use our design technique to obtain an integrated chassis controller for application to automotive dynamics.

Performance-Adaptive Generalized Predictive Control-Based Proportional-Integral-Derivative Control System and Its Application

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Takao Sato ◽  
Toru Yamamoto ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Predictive Control ◽  
Pid Control ◽  
Design Method ◽  
Design Parameters ◽  
Generalized Predictive Control ◽  
Control Performance ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Proportional Integral Derivative Control

In the present paper, we discuss a new design method for a proportional-integral-derivative (PID) control system using a model predictive approach. The PID compensator is designed based on generalized predictive control (GPC). The PID parameters are adaptively updated such that the control performance is improved because the design parameters of GPC are selected automatically in order to attain a user-specified control performance. In the proposed scheme, the estimated plant parameters are updated only when the prediction error increases. Therefore, the control system is not updated frequently. The control system is updated only when the control performance is sufficiently improved. The effectiveness of the proposed method is demonstrated numerically. Finally, the proposed method is applied to a weigh feeder, and experimental results are presented.

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