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

VL - 28

SP - 13

EP - 41

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 7

ER -