DECENTRALIZED STABILIZATION OF A CLASS OF LARGE SCALE BILINEAR INTERCONNECTED SYSTEM BY OPTIMAL CONTROL

A computationally simple aggregation procedure based on Algebraic Riccati Equation when the interaction terms of each subsystem of a large scale linear interconnected system are aggregated with the state matrix has been very recently reported in literature. The same has been extended for large scale bilinear interconnected system. Optimal controls generated from the solution of the Algebraic Riccati Equations for the resulting decoupled subsystems are the desired decentralized stabilizing controls which guarantee the stability of the composite system with nearly optimal response and minimum cost of control energy. The procedure has been illustrated numerically.