On Non-Linearities Separate Modeling Method and State Feedback Control

Abstract:

Modeling method of non-linearities objects controlled have more problem and difficulty. Based on the increment function observer (IFO-Kx), this paper gives the mathematical conceptions of Increment Function Observer with variable gain IFO-K(T(t)) x and the Increment full dimension State Observer with variable gain ISO-T(t) x, which makes the application of increment observer extending to non-linear slow-time-varying controlled system. In this paper, the sufficient condition of IFO-K(T(t)) x and ISO-T(t) x is presented, and comparing this condition with the sufficient and necessary condition of increment function observer, the useful conclusion for practical engineering can be obtained that the design of increment observer can avoid seeking the solution of Sylvester matrix equation, which provides the more maturity theory foundation for the engineering application of incremental observer.

• Periodical: Applied Mechanics and Materials (Volumes 341-342)
• Pages: 931-939
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.341-342.931
• Online since: July 2013
• Authors: Zhong Xu Han, Xin Shou Tian
• Keywords: Increment Function Observer (IFO-K△x), Modeling Method, Non-Linearities, Slow-Time-Varying, State Feedback, Sylvester Matrix Equation

References

[1] Chai Tianyou, Liu Hongbo, Zhang Jing et al. Novel design method for the coordinated control system based on fuzzy reasoning and adaptive control and its application [J]. Proceedings of the CSEE , 2000, 20(4): 14-18.

[2] Luo Yi, Tian Tao, Yang Zhiyuan et al. Adaptive predictive controller with controllable gain ahead and its applications to DCS in power plants [J]. Proceedings of the CSEE, 2000, 20(10): 84-88.

[3] Huang Zuyi, Li Donghai, Jiang Xuezhi et al. Gain scheduled servo system for boiler-turbine unit[J]. Proceedings of the CSEE, 2003, 23(10): 191-198.

DOI: 10.1109/icca.2005.1528141

[4] HOU Yi-wen and SHEN Jiong and LI Yi-guo. A Simulation Study On Load Modeling Of A Thermal Power Unit Based On Waveletneural Networks, Proceedings of the CSEE，23(10): 220-224，(2003).

[5] ZHANG Chang-qing, YANG Feng, XUE Jian-zhong, et al. The Design of the H¥ Performance State Observer for the Boiler Steam Temperature Control[J]. Proceedings of the CSEE, 2006，26(14): 109-113 (in Chinese).

[6] HAN Zhong-xu , QI Xiao-hong , LIU Min. A practical non-linear mathematical model of unit power plant and its application. Proceedings of the CSEE, 2006, 26(1): 58-65.

[7] KONG Liang, DING Yan-jun, ZHANG Yi，et al．Application of Non-linear Dynamic Model Combined With Static Model [J]．Proceedings of the CSEE，2008，28(29): 93-98 (in Chinese).

[8] HAN Zhongxu. Concept of increment function observer and its application in state feedback control[J]. Proceedings of the CSEE, 2004, 24(4): 210-216.

[9] HAN Zhongxu. Some design concepts of nonliear state feedback conreol system based on IFO-KΔx[J]. Proceedings of the CSEE, 2004, 24(9): 262-266.

[10] HAN Zhong-xu, Zhang Zhi. Application of state observer and state feedback in sub-critical boiler steam temperature control system[J]. 1999, 19(11): 76-77.

[11] HAN Zhong-xu, Huang Huanpao, Zhang Zhi et al. Application of state feedback based on state observer in the coordinated control system of 300MW unit plant [J]. China Electric Power, 2004, 37(04): 60-65.

[12] HAN Zhong-xu, Wang Yuxue, Qu Yun et al. Application of state feedback based on IFO-KDx in 4´300MW genarator unit of pingliang power plant [J]. Proceedings of the CSEE, 2004, 24(12): 233-237.

[13] HAN Zhong-xu, Qi Xiaohong, Pan Gang, et al. A new design method of coordinate control system for once-through boiler and its engineering application [J]. Proceedings of the CSEE, 2005，25(21): 121-127.

[14] Han Zhongxu，Qi Xiaohong，Zhou Guang．Feed-water control scheme design of two different structure double-hearth benson once-through boilers and its application[C]．The 1st IEEE Conference on Industrial Electronics and Applications (ICIEA 2006)，Singapore，2006.

DOI: 10.1109/iciea.2006.257273

[15] Liu Min , Zhang Zhi , Wu Feijun , et al．The Design and Debuging of Main Steam Temperature Control System of 660MW Unit [J]．Modern Electric Power, 2006, 23(2): 60-63(in Chinese).

[16] HAN Zhong-xu, LV Xiu-hong, HAN Li. The robustness analysis of the state observer in the boiler super-heater temperature control[J]. Proceedings of the CSEE, 2003, 23(4): 177-180.

[17] Zhang Chenggan, Zhang Guoqiang. System Distinguish and Parameter Estimate, Beijing: Mechanism Industry Press, (1986).

[18] Duan Guangyin. Linear System Theory. Harbin: Harbin Industry University Press, (1996).

[19] HAN Zhong-xu, QI Xiaohong. The sufficient and necessary conditions of increment function observer [J]. Proceedings of the CSEE, 2006, 26 (23): 78-82 (in Chinese).

[20] Bernard Friedlland. CONTROL SYSTEM DESIGN-An Introduction to State-Space Method[M]. New York, McGraw-Hill Book Company, (1986).

[21] Zheng Dazhong. Linear System Theory [M], Beijing: Tsinghua University Press, (2002).

[22] HUANG Youdu, DI Chenen, ZHU Shixin. Matrix Theory and Application [M], Hefei: China Institute of Science and Technology Press, 1995.

[23] HAN Zhong-xu, ZHOU Chuan-xin, ZHANG Wei, et al. New Design Method of Coordinated Control System of Supercritical Pressure Power Unit and Its Application[J]. Proceedings of the CSEE, 2009, 29(8): 75-81 ( in Chinese).

[24] HAN Zhong-xu. Designing Method of Asymptotically Tracking and Disturbance Control to Non-linear Control System [J]. Proceedings of the CSEE, 2010, 30(35): 78-87 ( in Chinese).