Perfect Control for Continuous-Time LTI State-Space Systems: The Nonzero Reference Case Study

Abstract

In this paper an innovative study concerning the perfect control algorithm is presented. This particular control strategy has already been developed for continuous- and discrete-time transfer-function-originated plants, as well as discrete-time state-space-related systems, however the approach devoted to continuous-time state-space objects is still an unexplored research area. With the application of the time-dependent system correction joined with nonunique matrix inverses, a new maximum-speed and maximum-accuracy control paradigm is established within this research. Simulation cases performed in the Matlab/Simulink environment show, that the new results can successfully be applied in the field of control theory and practice.

Keywords

• Perfect control
• continuous-time system
• inverse model control
• inverses of nonsquare matrices
• degrees of freedom
• MIMO