ABSTRACT
This chapter presents a block-pulse functions (BPF) approach to hierarchical control of linear time-invariant/time-varying systems with quadratic cost functions. Owing to the elegant operational properties of BPFs, the computational formulations for the interaction prediction method are shown to be purely algebraic. The chapter discusses touches upon hierarchical control of linear time-invariant systems. It also discusses solution of the hierarchical control problem via a BPF approach. A novel hierarchical control paradigm has been suggested for controlling linear time-invariant/time-varying large scale systems via BPFs. Compared with the conventional methods reported in the literature, the BPF method is computationally simpler and attractive as it is totally recursive in nature. In the conventional method one has to solve matrix Riccati (nonlinear) differential equations using some iterative technique. In the suggested method follow state transition matrix approach and compute everything in a recursive manner.
