TY - JOUR
T1 - An optimal linear-quadratic digital tracker for analog neutral time-delay systems
AU - Tsai, Tzong J.
AU - Tsai, Jason S.H.
AU - Guo, Shu M.
AU - Chen, Guanrong
N1 - Funding Information:
This work was supported by the National Science Council of Republic of China under contracts NSC-92-2213-E-006-031 and NSC-92-2213-E-006-034.
PY - 2006/3
Y1 - 2006/3
N2 - In this paper, an optimal hybrid tracking control problem for continuous neutral time-delay systems is formulated and studied. An optimal linear integral quadratic cost function that has a high-gain property is used for tracking control specification. Two interpolation methods are applied to directly convert the original analog neutral time-delay system into an equivalent digital retarded time-delay system, and meanwhile convert the continuous-time quadratic cost function into a discretized form. Then, an extended state vector is constructed for an associate extended discrete-time optimal control problem without time delay. Using the standard discrete-time linear-quadratic optimal control theory and an indirect digital redesign technique with a predictive feature, an effective digital tracker is designed for the original analog neutral time-delay system. An example is finally given for illustrating the effectiveness of the new tracker design method.
AB - In this paper, an optimal hybrid tracking control problem for continuous neutral time-delay systems is formulated and studied. An optimal linear integral quadratic cost function that has a high-gain property is used for tracking control specification. Two interpolation methods are applied to directly convert the original analog neutral time-delay system into an equivalent digital retarded time-delay system, and meanwhile convert the continuous-time quadratic cost function into a discretized form. Then, an extended state vector is constructed for an associate extended discrete-time optimal control problem without time delay. Using the standard discrete-time linear-quadratic optimal control theory and an indirect digital redesign technique with a predictive feature, an effective digital tracker is designed for the original analog neutral time-delay system. An example is finally given for illustrating the effectiveness of the new tracker design method.
UR - https://www.scopus.com/pages/publications/33644794416
UR - https://www.scopus.com/pages/publications/33644794416#tab=citedBy
U2 - 10.1093/imamci/dni043
DO - 10.1093/imamci/dni043
M3 - Article
AN - SCOPUS:33644794416
SN - 0265-0754
VL - 23
SP - 43
EP - 66
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 1
ER -