an:04091267
Zbl 0666.93002
Sarkar, Biswaroop; Athani, V. V.
Hierarchical optimal control and stability of large-scale systems
EN
J. Indian Inst. Sci. 67, No. 9-10, 337-391 (1987).
0970-4140
1987
j
93A13 93D05 93A15 93B35 15A24 93C05
Pontryagin's maximum principle; second method of Lyapunov; multiechelon structure; time-invariant
There are three parts in this paper: (1) a state-regulating problem is solved for a very-large-scale system. The optimal-control laws are formulated with multiechelon-dynamical-hierarchical structure. A set of matrix equations which arises in formulating optimal-control laws is shown to be solvable in an alternative way; (2) the stability of such formulated multiechelon-hierarchical structure is analysed; (3) the number of levels of hierarchy needed in a multiechelon structure is calculated and also the order of the dynamic-state regulator required.