離散時間雙線性系統之滑動模式控制設計

SLIDING MODE CONTROL DESIGN FOR DISCRETE-TIME BILINEAR SYSTEMS

李信篁(Shin-Huang Li)

指導教授 ： 龔宗鈞

大同大學/電機資訊學院/電機工程學系所/碩士(2008年)

摘要

在這篇論文,我們針對離散雙線性系統採用基於離散滑動模式控制的兩種迫近法則。迫近法則是一種差分方程式具有能夠明確指出滑動面函數的動態。其中這個系統狀態是未知並且我們不需要建構觀察器與動態補償器估計狀態。這個方法使用迫近法則去設計在雙線性系統的控制器。我們將設計迫近控制法則,使雙線性系統軌跡能符合迫近法則。最後,我們提出例子來驗證本文所提出的控制器對此系統的有效性。

關鍵字

雙線性系統 ； 滑動模式控制

並列摘要

In this thesis, we adopt two kinds of reaching law based on discrete sliding-mode control for discrete-time bilinear systems. The reaching law is a differential equation which specifies the dynamics of a sliding surface function . The system states are unknown and we have not need to construct the observers or dynamic compensators to estimate system states. This method use the reaching law for designing the controller in bilinear system. We will design a reaching control law to ensure the bilinear system trajectories can satisfy with the reaching law. Simulation results are presented to demonstrate the feasibility of the proposed control scheme.

並列關鍵字

bilinear system ； sliding mode control

參考文獻

[1] K. Kiriakidis, “Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear matrix inequalities,” IEEE Trans. Fuzzy Syst., vol. 9, pp. 269-277, April 2001.

[2] D. Yu, “Diagnosing simulated faults for an industrial furnace based on bilinear model,” IEEE Trans. Contr. Syst. Technol., vol. 8, pp. 435-442, May 2000.

[5] R. Longchamp, “Controller design for bilinear systems,” IEEE Trans. Automat. Contr., vol. AC-25, pp. 547-548, June 1980.

[6] G.-Y. Tang, H. Ma, and B.-L. Zhang, “Successive approximation approach of optimal control for bilinear discrete-time systems,” IEE Proc. Control Theory Appl. vol. 152, no. 6, pp. 639-644, November 2005

[7] P. O. Gutman, “Stable controllers for bilinear systems,” IEEE Trans. Automat. Contr., vol. AC-26, pp. 917-922, Aug. 1981.