Title :
Improved Routh-Pade´ approximants: a computer-aided approach
Author :
Singh, Vimal ; Chandra, Dinesh ; Kar, Haranath
Author_Institution :
Dept. of Electr.-Electron. Eng., Atilim Univ., Ankara, Turkey
Abstract :
A geometric programming based computer-aided method to derive a reduced order (rth-order) approximant for a given (stable) SISO linear continuous-time system is presented. In this method, stability and the first r time moments/Markov parameters are preserved as well as the errors between a set of subsequent time moments/Markov parameters of the system and those of the model are minimized.
Keywords :
Markov processes; Routh methods; approximation theory; computer aided analysis; continuous time systems; control engineering computing; geometric programming; linear systems; optimisation; reduced order systems; Markov parameters; Routh criterion; Routh-Pade approximants; SISO system; computer-aided derivation; error minimization; geometric programming; linear continuous-time system; model reduction; nonlinear optimization procedure; reduced order approximant; single-input-single-output system; stability; Computer errors; Equations; Instruction sets; Linear programming; Optimization methods; Power system modeling; Reduced order systems; Stability; Time factors; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.822878
