Multiobjective continuous time deadbeat control

We propose a control system design to satisfy multiconstraints in time and frequency domains based on the framework of continuous time deadbeat control. We introduce two conditions for the free parameter of H_∞ suboptimal controllers corresponding to deadbeat control and H_∞ norm constraints. A class of controllers, which satisfy the two conditions simultaneously, is given by restricting the modified free parameters of H_∞ controllers to commensurate time delay operators. The other constraints of L₂ or L₁ norm are also reduced to convex finite-dimensional problems under this framework, and these mixed problems can be solved numerically