Contribution of a new matrix H-inverse to stabilizing the perfect control for LTI MIMO state-space systems

Wojciech Przemyslaw Hunek · 2016

In this paper an useful application of a new right H-inverse to stabilization of perfect control for LTI MIMO discrete-time systems in state-space is shown. Following the recently introduced H-inverse, its intriguing property giving the stable perfect control is indicated here. Now, the SVD-based H-inverse with parameter and polynomial degrees of freedom clearly outperforms the classical minimum-norm right T-inverse in terms of its contribution to stable perfect control design. Simulation studies performed in Matlab environment confirm the big potential of the proposed method over existing ones.

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