Perfect Control for Nonlinear Time-Invariant MIMO Systems Described in the Discrete-Time State-Space Framework

A new nonlinear algorithm covering the inverse model control (IMC) methodology is presented in this article. The perfect control procedure is devoted to the multivariable systems defined in the discrete-time state-space domain. Following the recently introduced perfect control-originated approaches employing the linear continuous- and discrete-time plants of different domains, the new nonlinear instance of such control strategy is proposed here. The innovative scenario follows the behaviors characteristic for its predecessors, in particular in terms of maximum-speed and maximum-accuracy properties. It should be emphasized that the new solution is more general than the existing linear ones, providing the complex original peculiarities. The numerical examples clearly confirm the correctness of the proposed methodology and discuss the key control stability requirement.