Finite Time Response Control of State Blocking Systems

This paper continues the results obtained by the authors on State Blocking Systems (SBS). The approach proposed by the authors is based on the so-called blocking function which may be considered as a new input variable that continuously changes the system structure. The paper deals with an original method for Finite Time Response (FTR) control of the state blocking systems. Because of the blocked components and of the active subsystem uncontrollable components, an SBS system appears as an affine system with FTR control procedures unknown in literature. It is developed a new procedure for the affine systems FTR synthesis, called the equivalent input method. For this purpose it calculates an equivalent input which will determine, according to a quadratic criterion, the best approximation of the affine component. Experimental results are presented to justify the method approached in the paper.