TY - JOUR
T1 - Stability analysis of exact model matching control for finite volterra series systems
AU - Yamanaka, Osamu
AU - Ohmori, Hiromitsu
AU - Sano, Akira
PY - 1997/1/1
Y1 - 1997/1/1
N2 - For finite Volterra series systems, this paper investigates the stability of the exact model matching (EMM) control we have already presented. First, in order to analyze the stability of the EMM system, we present modified small gain theorems depending on the magnitude of the external input (s) in the cases of one input and two inputs. Next, with the help of the theorem for feedback systems with two inputs, we clarify the condition under which the control system is stable for the reference input magnitude within a certain range, and is also robust for small disturbances. The modified small gain theorems are effective for the stability analysis of the nonlinear feedback control systems which do not have affine finite gain.
AB - For finite Volterra series systems, this paper investigates the stability of the exact model matching (EMM) control we have already presented. First, in order to analyze the stability of the EMM system, we present modified small gain theorems depending on the magnitude of the external input (s) in the cases of one input and two inputs. Next, with the help of the theorem for feedback systems with two inputs, we clarify the condition under which the control system is stable for the reference input magnitude within a certain range, and is also robust for small disturbances. The modified small gain theorems are effective for the stability analysis of the nonlinear feedback control systems which do not have affine finite gain.
KW - Exact model matching
KW - Finite Volterra series systems
KW - Nonlinear control
KW - Small gain theorem
KW - Stability analysis
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M3 - Article
AN - SCOPUS:0030677158
SN - 0916-8508
VL - E80-A
SP - 166
EP - 174
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IS - 1
ER -