NEW RESULTS IN 2D OPTIMAL-CONTROL THEORY

被引：36
作者：
BISIACCO, M
机构：
[1] Department of Electronics and Computer Science, University of Padova, Padova, 35131, 6/A, via Gradenigo
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 1995年 / 6卷 / 03期
关键词：
2D SYSTEMS; OPTIMAL CONTROL; L(2)-STABILIZABILITY; NORM MINIMIZATION IN HILBERT SPACES; OMEGA-DEPENDENT; RICCATI EQUATION; 2D STABILIZABILITY; 2D DETECTABILITY;
D O I：
10.1007/BF00981083
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The infinite horizon optimal control problem is solved for 2D systems described by the Fornasini-Marchesini model. An l(2)-approach permits us to reduce the optimal control problem to a norm minimization one in Hilbert spaces. Both necessary and sufficient conditions for solvability and the structure of the solution are established. Moreover, a comparison with known results is presented, and the singularities of the 2D Riccati equation are examined in order to characterize suboptimal control laws that apply whenever the solvability conditions are not satisfied.
引用
收藏
页码：189 / 222
页数：34
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