<!DOCTYPE article
  PUBLIC "-//NLM//DTD Journal Publishing DTD v2.0 20040830//EN" "http://dtd.nlm.nih.gov/publishing/2.0/journalpublishing.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article" dtd-version="2.0" xml:lang="EN">
  <front>    <journal-meta>
      <journal-title>Scientific Research and Essays</journal-title>
      <issn pub-type="epub">1992-2248</issn>      <publisher>
        <publisher-name>Academic Journals</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5897/SRE2014.5912</article-id>
      <title-group>
        <article-title><![CDATA[Two-phase closed-loop system identification method based on the auxiliary model]]></article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" xlink:type="simple">
        		        	<name name-style="western">
	            <surname>Jie</surname>
            <given-names>Jia</given-names>
	          </name>	
        		        	<name name-style="western">
	            <surname>Jiao</surname>
            <given-names>Cao</given-names>
	          </name>	
        		        	<name name-style="western">
	            <surname>Yong</surname>
            <given-names>Yang</given-names>
	          </name>	
        		        	<name name-style="western">
	            <surname>Zhiteng</surname>
            <given-names>Liu</given-names>
	          </name>	
        		        	<name name-style="western">
	            <surname>Shuying</surname>
            <given-names>Huang</given-names>
	          </name>	
        	        </contrib>
      </contrib-group>
      <author-notes>
		<corresp id="cor1">* E-mail: <email xlink:type="simple">yangyong5080@126.com</email></corresp>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2014</year>
      </pub-date>
      <pub-date pub-type="epub">
      	<day>15</day>
        <month>05</month>
        <year>2014</year>
      </pub-date>
      <history>
      			<date date-type="received">
			<day>03</day>
			<month>01</month>
			<year>2013</year>
		</date>
						<date date-type="accepted">
			<day>31</day>
			<month>07</month>
			<year>2013</year>
		</date>
			  </history>
      <volume>9</volume>
      <issue>9</issue>
	  	  <fpage>331</fpage>
	  <lpage>335</lpage>
      <permissions>
		<license xlink:type="simple">
			<license-p>
			This is an open-access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
			</license-p>
		</license>
	  </permissions>
	  <self-uri xlink:href="http://politicalwaffle.uk/journal/SRE/article-abstract/2BD9F7544549">
		This article is available from http://politicalwaffle.uk/journal/SRE/article-abstract/2BD9F7544549	  </self-uri>
	  <self-uri xlink:href="http://politicalwaffle.uk/journal/SRE/article-full-text-pdf/2BD9F7544549">
		The full text article is available as a PDF file from http://politicalwaffle.uk/journal/SRE/article-full-text-pdf/2BD9F7544549	  </self-uri>
	  
      <abstract><![CDATA[The two-stage recursive extended least squares parameter estimation algorithm based on the auxiliary model of a class of closed-loop identification system model is presented in this paper. The basic idea of the algorithm is a combination of the auxiliary model identification ideas and the decomposition technique in which the closed-loop system is converted to a two-step process and each step identified model is an open-loop system. The more mature open-loop identification method is dealt with, the closed-loop system parameter identification problem is known in this way. The proposed algorithm has been proven to have high computational efficiency and effectiveness by the simulation examples.

	 

	Key words: Auxiliary model, least squares method, closed-loop system.]]></abstract>
    </article-meta>
  </front>
      <body/>
    <back>
		<ref-list>
			<title>References</title>
						<ref id="ref1">
				<label>1</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Besterfield-Sacre M, Schuman LJ, Wolfe H, Atman CI, McGourty J, Miller RL, Olds BM, Rogers GM (2000). Defining the outcome: A framework for EC-2000, IEEE Trans. 43(2):00-110.
				
					Google Scholar]]>
				</mixed-citation>
			</ref>
						<ref id="ref2">
				<label>2</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[de Klerk E, Craig IK (2002). An assignment to teach closed-loop system identification, 15th Triennial World Congress, pp. 273-278.
				
					Google Scholar]]>
				</mixed-citation>
			</ref>
						<ref id="ref3">
				<label>3</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Ding F, Chen TW (2005). Hierarchical gradient-based identification of multivariable discrete-time system. Automatica 41(2):315-325.
				]]>
				</mixed-citation>
			</ref>
						<ref id="ref4">
				<label>4</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Duan HH, Jia J, Ding RF (2012). Two-stage recursive least squares parameter estimation algorithm for output error models. Math. Comput. Modell. 55(3-4):1151-1159.
				]]>
				</mixed-citation>
			</ref>
						<ref id="ref5">
				<label>5</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Landau ID (2001). Identification in closed loop: A powerful design tool. Cont. Eng. Pract. 9(1):51-65.
				]]>
				</mixed-citation>
			</ref>
						<ref id="ref6">
				<label>6</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Laudau ID, Karimi A (1996). Recursive algorithms for identification in closed loop a unified approach and evaluation. Proc. 35th IEEE Conf. 2:1391-1396.
				
					Google Scholar]]>
				</mixed-citation>
			</ref>
						<ref id="ref7">
				<label>7</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Ljung L (1999). System Identification Theory for the User, Prentice-Hall.]]>
				</mixed-citation>
			</ref>
						<ref id="ref8">
				<label>8</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Van Den Hof PMJ, Schrama R JP (1993). An indirect method for transfer function estimation from closed-loop data. Automatica, 29(6):1523-1527.
				]]>
				</mixed-citation>
			</ref>
						<ref id="ref9">
				<label>9</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Yao GY, Ding RF (2012). Two-stage least squares based iterative identification algorithm for Controlled autoregressive moving average (CARMA) systems. Comput. Math. Appl. 63(5):975-984.
				]]>
				</mixed-citation>
			</ref>
						<ref id="ref10">
				<label>10</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Yue N, Zhu FZ, Zhou Y, Ding F (2009). The autoregressive moving average model two-stage identification method based on RLS. Sci. Technol. Eng. 9(7):1918-1920.]]>
				</mixed-citation>
			</ref>
						<ref id="ref11">
				<label>11</label>
				<mixed-citation publication-type="other" xlink:type="simple">
				<![CDATA[Zhang WX, Feng CB (1995). A bias-crrection method for indirect identification of closed-loop systems. Automatica 31(7):1019-1024.
				]]>
				</mixed-citation>
			</ref>
					</ref-list>
	</back>
    </article>