Multiobjective control for continuous time MIMO systems via deadbeat regulation

We extend the framework of continuous time deadbeat control, which is given by Nobuyama et al. to multi-constraints control in time and frequency domains for continuous time MIMO systems. Two conditions for the free parameter of H_∞ suboptimal controllers are shown, which correspond to a deadbeat control interpolation condition and H_∞ norm constraint. By restricting modified free parameters of H_∞ controllers to commensurate time delay functions, we give all controllers which satisfy the two conditions simultaneously. Moreover, we show that time domain constraints of L₂ or L₁ norms are also reduced to finite dimensional convex problems and these mixed problems can be solved numerically