Abstract
Studied in this paper is a kind of suboptimal control strategies in linear time-invariant systems with the possibility of aggregation and with incomplete state information.
The concept of an aggregated state estimation is introduced and it is shown that the asymptotic esimation of aggregated states, or of linear functions of state variables under conditions of the aggregation for the systems reduces to Luenberger esimation of the entire state variables of the virtual aggregated models retaining complete observability of the systems. It is also shown that the separation property between control and estimation problems can be concluded in the pseudo-suboptimal control systems constructed by suboptimal feedback control laws based upon the aggregated state estimators.
An expression of upper and lower bounds on relative pseudo-suboptimality is given by means of the pencil of quadratic forms without any assumptions on initial conditions in the systems.
