The State-Space Representation of MIMO LTI Systems Using the Future Inputs Elimination Approach
This paper introduces a novel approach for state-space representation of linear time invariant (LTI) systems, so-called Future Inputs Elimination (FIE) method. It can be applied to single-input-single-output (SISO) or multiple-input-multiple-output (MIMO) systems, continuous-time or discrete-time systems, whose dynamic equations are coupled or separated (uncoupled) in terms of their inputs and outputs. The FIE method closely parallels to the controllable canonical method when restricted to a class of SISO LTI systems. Moreover, it retains an easy implementation and effortless computation even for a class of MIMO LTI systems. The proposed approach may be used for representation of LTI systems with multiple or complex-conjugate poles. Many representative numerical examples are provided in order to illustrate the effectiveness of the elimination state-space method for representation of both SISO and MIMO LTI systems.