Solving Linear Systems with Sparse Gaussian Elimination in the Chebyshev Rational Approximation Method

2013 ◽  
Vol 175 (3) ◽  
pp. 250-258 ◽  
Author(s):  
Maria Pusa ◽  
Jaakko Leppänen
Keyword(s):  
Linear Systems ◽  
Rational Approximation ◽  
Approximation Method ◽  
Gaussian Elimination

Sub-Optimum H2 Rational Approximations to Fractional Order Linear Systems

2005 ◽  
Author(s):  
Dingyu¨ Xue ◽  
YangQuan Chen
Keyword(s):  
Linear Systems ◽  
Fractional Order ◽  
Rational Approximation ◽  
Approximation Method ◽  
Linear Time ◽  
Rational Approximations ◽  
Order Linear ◽  
Integer Order ◽  
Linear Time Invariant ◽  
Time Invariant

In this paper, we propose a procedure to achieve rational approximation to arbitrary fractional order linear time invariant (FO-LTI) systems with sub-optimum H2-norm. Through illustrations, we show that the rational approximation is simple and effective. It is also demonstrated that this sub-optimum approximation method is effective in designing integer order controllers for FO-LTI systems in general form. Useful Matlab codes are also given in the appendices.

The calculation of critical indices by the rational approximation method

1982 ◽  
Vol 15 (10) ◽  
pp. 3233-3240 ◽  
Author(s):  
R T Baumel ◽  
J L Gammel ◽  
J Nuttall ◽  
D C Power
Keyword(s):  
Rational Approximation ◽  
Approximation Method ◽  
Critical Indices
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