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Volume 35 Issue 6
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WU Fu-pei, LI Sheng-ping. ■1 Optimization Design Method of Given Order Controller[J]. INFORMATION AND CONTROL, 2006, 35(6): 769-774.
Citation: WU Fu-pei, LI Sheng-ping. ■1 Optimization Design Method of Given Order Controller[J]. INFORMATION AND CONTROL, 2006, 35(6): 769-774.
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■1 Optimization Design Method of Given Order Controller

  • Department of Mechatronics Engineering, Shantou University, Shantou 515063, China

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  • Received Date: August 10, 2005
  • Published Date: December 19, 2006
    Graphical Abstract
    • Abstract
  • The problem of ■1 optimization design for given order controller based on multiple input-multiple output（MIMO） discrete-time system is studied.Based on Youla parameterization,the free parameter Q is discussed for two cases,i.e.,polynomial and rational polynomial,and the rational case is translated into the polynomial one;eventually,the optimization problem of given order controller is transformed into solving the problem of standard linear programming.Given the controller's order,the optimal controller is obtained which enables the closed-loop system to be internally stabilized and the corresponding ■1 norm to be minimized.Finally,an example is presented to illustrate the validity of the algorithm.
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    • References (11)
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