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Robust fault detection filter design for a class of time-delay systems via equivalent transformation

控制理论与应用（英文版） 2013年第1期11卷 54-60页

作者： Jilie ZHANG Huaguang ZHANG Feisheng YANG Shenquan WANG School of Information Science and Engineering Northeastern University State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University)

This paper is concerned with the robust fault detection filter （RFDF） design for a class of linear time- invariant systems （LTISs） with output state time delays. Although existing results in literatures study the RFDF for time- delay systems, few is concerned with the output state time-delay systems. The basic idea of our study is to eliminate the time delays of system and transform it to a delay-free system （i.e., a linear time-invariant system without time delays） by the bicausal change of coordinates approach. Then, we design the RFDF for the delay-free LTIS, which is equivalent to the original system with time delays. We first introduce a class of systems with output state time delays, whose fault can be detected by using the RFDF design approach for delay-free systems. Then, since the RFDF design problem can be formulated as a standard H-infinity-model matching problem, it is solved by using H-infinity-optimization LMI techniques. In the last, the adaptive threshold of fault detection is chosen and an illustrative design example is used to demonstrate the validity of the design approach.

关键词： equivalent transformation Robust fault detection filter Output state time-delay system

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REPRESENTATION AND AUTOMATED transformation OF GEOMETRIC STATEMENTS

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Journal of Systems Science & Complexity 2014年第2期27卷 382-412页

作者： CHEN Xiaoyu State Key Laboratory of Software Development Environment School of Computer Science and EngineeringBeihang University

The emergence of a large quantity of digital resources in geometry, various geometric automated theorem proving systems, and kinds of dynamic geometry software systems has made geometric computation, reasoning, drawing, and knowledge management dynamic, automatic or interactive on computer. Integration of electronic contents and different systems is desired to enhance their accessibility and exploitability. This paper proposes an equivalent transformation framework for manipulating geometric statements available in the literature by using geometry software systems. Such a framework works based on a newly designed geometry description language(GDL), in which geometric statements can be represented naturally and easily. The author discusses and presents key procedures of automatically transforming GDL statements into target system-native representations for *** author also demonstrates the framework by illustrating equivalent transformation processes and interfaces for compiling the transformation results into executable formats that can be interpreted by the target geometry software systems for automated theorem proving and dynamic diagram drawing.

关键词： Automated diagram drawing equivalent transformation formalized geometric statements geometric automated theorem proving.

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维普期刊数据库

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A fractional-order multifunctional n-step honeycomb RLC circuit network

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Frontiers of Information Technology & Electronic Engineering 2017年第8期18卷 1186-1196页

作者： Ling ZHOU Zhi-zhong TAN Qing-hua ZHANG Department of Physics Nantong University Nantong 226019 China Department of Mathematics Nantong University Nantong 226019 China

We investigate a multifunctional n-step honeycomb network which has not been studied before. By adjusting the circuit parameters, such a network can be transformed into several different networks with a variety of functions, such as a regular ladder network and a triangular network. We derive two new formulae for equivalent resistance in the resistor network and equivalent impedance in the LC network, which are in the fractional-order domain. First, we simplify the complex network into a simple equivalent model. Second, using Kirchhoff＇s laws, we establish a fractional difference equation. Third, we construct an equivalent transformation method to obtain a general solution for the nonlinear differential equation. In practical applications, several interesting special results are obtained. In particular, an n-step impedance LC network is discussed and many new char- acteristics of complex impedance have been found.

关键词： Honeycomb network equivalent transformation Fractional differential equation Impedance characteristics

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