Minimum-time feedforward control with input and output constraints

For linear continuous-time scalar systems, the paper proposes the problem of synthesizing a minimum-time rest-to-rest feedforward control with input and output constraints. In a behavioral framework, simple sufficient conditions for the problem to have a solution are provided. Then using discretization, an arbitrarily good approximation to the global minimum-time solution is found by solving a sequence of linear programming problems. Computational examples to show the effectiveness of the proposed approach are included