Browsing by Author "Chu, LW"
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Item type:Item, An interval method for computing the stability margin of real uncertainty problems(2000-07-01) ;Ge, ZM ;Chu, LW ;機械工程學系Department of Mechanical EngineeringFrequently, in practical control system design, some designing parameters are uncertain. These uncertain parameters may vary with temperature, humidity or other environmental variable, and these variations will have an impact on the stability of the system. In this paper, we use a global optimal method-interval method, by which stability margins of these uncertain parameters can be computed. Copyright (C) 2000 John Wiley & Sons, Ltd.Item type:Item, An interval method for computing the structured singular value of a transfer matrix with real uncertainty(1998-12-01) ;Ge, ZM ;Chu, LW ;機械工程學系Department of Mechanical EngineeringSingular value robustness tests can be used to analyze real parameter variations, but it is difficult to calculate the structured singular value (mu-norm) of a transfer matrix with real uncertainty. Thus far, the MATLAB (Matrix Laboratory) with mu-tools toolbox software package is the most widely used method for numerical computation of structured singular values. However, it can only obtain the lower and upper bounds of the mu-norm. We present a method developed from interval analysis which can compute the true value of the mu-norm in numerical computation.