Minimum‐Time Output Control by Reference Interpolation for Linear Multivariable Systems

For linear multivariable systems, we consider the minimum‐time output control problem with explicit constraints on the inputs' intensity and piecewise‐constant controls. We face the problem by imposing that each output passes through a given set of points. The proposed solution consists in repeatedly solving a system of linear equations until all constraints on inputs' intensity are satisfied. The proof of a local inverse relationship between the control effort and the control time is given, which provides a convergence guarantee for the algorithm. Numerical simulations performed on a well‐known benchmark are reported to assess the effectiveness of the proposed method.