Robust Stability in Parameter Space
参数空间中鲁棒稳定性问题

The robust stability problem of single-input multi-output (SIMO) and multi-input single-output (MISO) linear time-invariant control systems with perturbed parameter is studied in this paper. For a given controller, if the closed loop system with nominal parameter vector p° is asymptotically stable, a method to construct a stability hypersphere which contains the largest one centered at p° in the parameter space is proposed. As a result, a robust stability criterion is improved.