Time-sliding suboptimal regulation of bilinear interconnected systems

This paper focuses on the suboptimal regulation of multivariable discrete-time bilinear systems consisting of interconnected bilinear subsystems with respect to a linear quadratic optimal regulation criterion which involves the use of state weighting terms only. Three transformations are used in order to treat the scheme over an equivalent linear system. This leads to the appearance of quadratic weighting terms related to both transformed input and state variables. In this way, a Ricatti matrix-sequence allowing the synthesis of a standard feedback control law is obtained