Passivity technique in control and network synthesis of descriptor systems

Author

Chee-Fai Yung ; He-Sheng Wang ; Fan-Ren Chang

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Ocean Univ., Keelung, Taiwan

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

1452

Lastpage

1457

Abstract

In this paper, we derive the necessary and sufficient conditions for generalized state space (or descriptor) systems to be ESPR (Extended Strictly Positive Real). The result concerns a generalized algebraic Riccati equation (GARE). This technique is then applied to the ESPR control problems for descriptor systems. Both state feedback and output feedback cases are examined. In addition, a parameterization of ESPR state feedback controllers is also obtained. Finally, we consider the problem of synthesizing a reciprocal positive real network in the generalized state space. This problem is fairly conceptual but has particular importance in discussing the time reversiblity of a dynamical system.

Keywords

Riccati equations; control system synthesis; state feedback; state-space methods; ESPR control problems; controller parameterization; descriptor system control synthesis; descriptor system network synthesis; dynamical system time reversiblity; extended strictly positive real; generalized algebraic Riccati equation; generalized state space systems; necessary conditions; output feedback; passivity technique; state feedback; sufficient conditions; descriptor system; dissipation inequality; generalized state space system; positive real; reciprocity;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099516