Title :
L1 analysis of sampled-data systems via fast-lifting and piecewise linear approximation
Author :
Jung Hoon Kim ; Hagiwara, Tomomichi
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan
Abstract :
This paper revisits the L1 analysis of sampled-data systems, by which we mean the computation of the L∞-induced norm of sampled-data systems. More precisely, we apply fast-lifting by which the sampling interval [0, h) is divided into M subintervals with an equal width, and provide a method for computing the L∞-induced norm by using an idea of piecewise linear approximation. Through this method, we show that we can compute upper bound and lower bounds of the L∞-induced norm and that the computation error associated with this method converges to 0 at the rate of 1/M2. This is in sharp contrast with a conventional method via fast-sample/fast-hold approximation, which only shows that the computation error converges to 0 in the rate of 1/M, without providing any explicit upper and lower bounds of the L∞-induced norm.
Keywords :
approximation theory; piecewise linear techniques; sampled data systems; sampling methods; L∞-induced norm lower bounds; L∞-induced norm upper bound; L1 analysis; computation error; fast-hold approximation; fast-lifting; fast-sample approximation; piecewise linear approximation; sampled-data systems; sampling interval; Convergence; Discrete-time systems; Linear approximation; Piecewise linear approximation; Upper bound; Vectors;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760630