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Stability margin of uncertain control systems
Received:April 24,2008  
Keywords:Interval plant family  Stability margin  Stability radius  MATLABs function robuststab
Fund Project:
Bin L?U, Qinghe WU Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China 
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      Achieving stability is the essential issue in the control system design. In this paper, four approaches that can be used to calculate the stability margin of the interval plant family are summarized and compared. The 1 approach gives the bounds of the stability margin, and good estimation can be obtained with the numerical method. The eigenvalue approach yields accurate value, and the MATLABs function robuststab sometimes provides wrong results. Since the eigenvalue approach is both accurate and computationally efficient, it is recommended for the calculation of the stability margin, while utilization of the function robuststab should be avoided due to the unreliable results it gives.
Bin L?U, Qinghe WU.Stability margin of uncertain control systems[J].Journal of Control Theory and Applications,2009,7(4):427~432.
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