Decentralized Suboptimal Control Synthesis for Interconnected Bilinear Systems Using 2 Types of Orthogonal Functions

A new technique for synthesising an optimal decentralized controllers for interconnected bilinear systems is proposed by using Legendre polynomials and Block Pulse Functions properties. The use of these interesting tools allows the conversion of differential state equations into a set of algebraic ones by expanding the system input and output variables into an orthogonal function basis and using the operational properties of these functions. The main objective of the proposed method is to simplify the determination of the controller gain parameters so that the performance of each controlled subsystem of the global system can be matched to a chosen reference model.