论文信息 - FINITE DIMENSIONAL COMPENSATORS FOR PARABOLIC DISTRIBUTED SYSTEMS WITH UNBOUNDED CONTROL AND OBSERVATION

FINITE DIMENSIONAL COMPENSATORS FOR PARABOLIC DISTRIBUTED SYSTEMS WITH UNBOUNDED CONTROL AND OBSERVATION

It is proved that for a class of parabolic distributed parameter systems with unbounded control and observation there exists a finite dimensional compensator using dynamic output feedback. Finite dimensional means here that the dynamics relating the input to the output is finite dimensional. A constructive design algorithm is presented and several examples are considered.

R. Curtain

[1] D. Naidu,et al. Optimal Control Systems , 2018 .

[2] Tosio Kato. Perturbation theory for linear operators , 1966 .

[3] H. Fattorini. Boundary Control Systems , 1968 .

[4] P. A. Orner,et al. A Design Procedure for a Class of Distributed Parameter Control Systems , 1971 .

[5] J. Lions,et al. Non-homogeneous boundary value problems and applications , 1972 .

[6] Huibert Kwakernaak,et al. Linear Optimal Control Systems , 1972 .

[7] Yoshiyuki Sakawa,et al. Feedback stabilization of a class of distributed systems and construction of a state estimator , 1975 .

[8] R. Triggiani. On the stabilizability problem in Banach space , 1975 .

[9] R. Gressang,et al. Observers for systems characterized by semigroups , 1975 .

[10] Jerzy Zabczyk,et al. On Decomposition of Generators , 1978 .

[11] Takao Nambu,et al. Feedback stabilization for distributed parameter systems of parabolic type , 1979 .

[12] Nobuo Fujii. Feedback Stabilization of Distributed Parameter Systems by a Functional Observer , 1980 .

[13] S. A. Pohjolainen. Robust multivariable PI-controller for distributed parameter systems , 1980 .

[14] A. J. Pritchard,et al. Stability and Stabilizability of Infinite-Dimensional Systems , 1981 .

[15] R. Curtain. The spectrum determined growth assumption for perturbations of analytic semigroups , 1982 .

[16] Y. Sakawa. Feedback Stabilization of Linear Diffusion Systems , 1983 .