TY - JOUR
T1 - Realization, design and implementation of row-pseudoproper left matrix fraction descriptions with impulsive modes
AU - Tsai, J. S.H.
AU - Chen, W. S.
AU - Shieh, L. S.
N1 - Funding Information:
This work was supported by the National Science Council of the Republic of China under contra& NSC-82-0404-E006470, the NASA-Johnson Space Center under Grant NAG-9-380, and the U.S. Army Research Office under DAAL-04-94G0227.
PY - 1994/10
Y1 - 1994/10
N2 - A novel and minimal realization algorithm is proposed for determining generalized state-space representation from a so-called row-pseudoproper left matrix fraction description (LMFD). The realized system with the state-space representation form is proved to be controllable and observable in the sense of [1,2] if the given row-pseudoproper MFD is left coprime. Besides, the proposed state feedback control law not only satisfies the optimal regional-pole-placement design for the realized generalized dynamical system, but also eliminates the impulsive terms in the state response of the closed-loop system. For practical consideration, an equivalent input-output feedback structure of the designed state-feedback controller is adopted. Based on the cascaded and/or parallel active RC networks with better sensitivity and stability properties, the resulting structure of the equivalent input-output feedback controller can be readily implemented based on proper subsystems.
AB - A novel and minimal realization algorithm is proposed for determining generalized state-space representation from a so-called row-pseudoproper left matrix fraction description (LMFD). The realized system with the state-space representation form is proved to be controllable and observable in the sense of [1,2] if the given row-pseudoproper MFD is left coprime. Besides, the proposed state feedback control law not only satisfies the optimal regional-pole-placement design for the realized generalized dynamical system, but also eliminates the impulsive terms in the state response of the closed-loop system. For practical consideration, an equivalent input-output feedback structure of the designed state-feedback controller is adopted. Based on the cascaded and/or parallel active RC networks with better sensitivity and stability properties, the resulting structure of the equivalent input-output feedback controller can be readily implemented based on proper subsystems.
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U2 - 10.1016/0898-1221(94)00157-X
DO - 10.1016/0898-1221(94)00157-X
M3 - Article
AN - SCOPUS:43949160623
SN - 0898-1221
VL - 28
SP - 13
EP - 41
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 7
ER -