论文信息 - The strict dissipativity synthesis problem and the rank of the coupling QDF

The strict dissipativity synthesis problem and the rank of the coupling QDF

The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed.

Harry L. Trentelman | Madhu N. Belur | H. Trentelman | M. Belur

[1] A. A. Stoorvogel,et al. The singular control problem with dynamic measurement feedback , 1991 .

[2] J. Willems,et al. Synthesis of dissipative systems using quadratic differential forms: part II , 2002, IEEE Trans. Autom. Control..

[3] P. Khargonekar,et al. State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[4] J. Willems,et al. On Quadratic Differential Forms , 1998 .

[5] Jan C. Willems,et al. Introduction to mathematical systems theory: a behavioral approach, Texts in Applied Mathematics 26 , 1999 .

[6] Madhu N. Belur,et al. Control in a behavioral context , 2003 .

[7] L.C.G.J.M. Habets,et al. Book review: Introduction to mathematical systems theory, a behavioral approach , 2000 .

[8] Carsten W. Scherer,et al. The state-feedback H∞-problem at optimality , 1994, Autom..

[9] P. Khargonekar,et al. State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[10] J. Willems,et al. Every storage function is a state function , 1997 .

[11] J. Willems,et al. State Maps for Linear Systems , 1997 .