Model reduction and controller design of a whole roller carding system
ABSTRACT
HEADNOTEA central idea involved in the design of a dynamic system is the modeling and manipulation of that system. By applying physical
When attempting to build a model, a compromise must be made between the simplicity of the model and the accuracy of the results. Results from an analysis are valid only to the extent that the model approximates a given physical system [8]. At the same time, in order to use fewer components in hardware implementation or to obtain a more reliable implementation, it is useful to construct a low-order controller.
A whole roller carding system is a high-order complicated model. An overly complex model may contain parameters that are virtually impossible to estimate, may be practically impossible to analyze, and may cloud important results in a welter of irrelevant detail even if it actually can be analyzed [2]. Generally, a high-order dynamic system contains poles of lower importance that have little effect on the system response. Eliminating such nondominant poles can perhaps yield a low-order approximating system, so that the analysis and design effort can be reduced.
In this paper, we present a method of reducing the high-order system for a whole roller carding system and verify the accuracy of the simplified model. At the same time, we show the simplicity and effectiveness of both conventional and modern control.
IMAGE FORMULA 7IMAGE FORMULA 8IMAGE FORMULA 9IMAGE FORMULA 10IMAGE FORMULA 11System Transfer Function
Conclusions
In this paper, we present a method for appreciably reducing the order of a whole roller carding system, we show a way of analyzing the system in order to shed light on its behavior, and we develop a technique for using a computer to simulate the response of the design system. The original fifth-order system successfully reduces to a single degree of freedom model. We provide the accuracy criterion of the amplitude characteristics and the steady-state behavior of the two systems. At the same time, we present both the conventional and modem control schemes to show the analysis and design effort. The computer simulations demonstrate a very good model reduction technique and corresponding controller performance.
IMAGE GRAPH 14FIGURE 8.
ACKNOWLEDGMENT
This work was supported by the National Science Council of the R.O.C. under Grant NSC 87-2212-E-01 1008.
REFERENCELiterature Cited
REFERENCE1. Gutierrez, H. M., Rust, J. P., and Abdel-Fattah, S., Modeling and Simulation for Control in Carding, Textile Res. J. 65(11), 638-643 (1995).
2. Karnopp, Dean C., Margolis, Donald L., and Rosenberg, Ronald C., "System Dynamics: A Unified Approach," 2nd ed., John Wiley & Sons, Inc., NY, 1990.
3. Kuo, B. C., "Automatic Control System," 7th ed., PrenticeHall, Inc., NJ, 1995.
4. Kuo, C. F. Jeffrey, and Hsieh, Chien-Teng, Dynamic Analysis and Control of a Whole Roller Carding System, Textile Res. J. 71, 943-947 (2001).
5. Kuo, C. F. Jeffrey, Wang, Chang-Chung, and Hsieh, Chien-- Teng, Theoretical Control and Experimental Verification of Carded Web Density, Part I: Dynamic System Analysis and Controller Design, Textile Res. J. 68(12), 873-880 (1998).
6. Nise, Norman S., "Control System Engineering," 2nd ed., Benjamin Publishing Company, Inc., NY, 1995.
7. Ogata, Katsuhiko, "Modern Control Engineering," 2nd ed., Prentice-Hall, Inc., NJ, 1990.
8. Ogata, Katsuhiko, "System Dynamics," 2nd ed., PrenticeHall, Inc., NJ, 1992.
Manuscript received May 30, 2000; accepted March 27, 2001.
AUTHOR_AFFILIATIONCHUNG-FENG JEFFREY KUO AND CHIEN-TENG HSIEH
AUTHOR_AFFILIATIONIntelligence Control and Simulation Laboratory, Department of Fiber and Polymer Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, Republic of China
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