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Loop Gain Margins and Stabilizing PID Ranges

  • Qing-Guo Wang
  • Zhen Ye
  • Wen-Jian Cai
  • Chang-Chieh Hang
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 373)

Contents

In the previous chapter, a new loop paring criterion is presented to achieve the minimum loop interaction under the decentralized multivariable control. When a decentralized PID controller is applied according to the paring criterion, it should stabilize the multivariable system at first. More importantly, it is desirable to know the stabilizing ranges, not just values, of PID parameters so that the stability of the closed-loop MIMO system may not be violated in case of modeling error. This chapter addresses such a problem whose solution also leads to the concept of loop gain margin. It should be noted that the simple and effective methods to determine the gain margin of SISO systems are not applicable for MIMO systems due to the loop interactions. Hence, the new theory and/or algorithm for loop gain margins needs to be found.

Keywords

Linear Matrix Inequality MIMO System Phase Margin Loop Gain Gain Margin 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Qing-Guo Wang
    • 1
  • Zhen Ye
    • 1
  • Wen-Jian Cai
    • 2
  • Chang-Chieh Hang
    • 1
  1. 1.University of SingaporeSingapore
  2. 2.Nanyang Technological UniversitySingapore

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