Integrated controller design with local controller designed independently for linear switching system with a single I/O delay

The paper presents an integrated switching controller synthesis for linear switching plant with a single I/O delay. The integrated switching controller is composed with local controllers designed independently and beforehand for different local plants. The design idea comes from the traditional stabilizing controller parameterization of LTI systems with a single I/O delay. It not only guarantees the quadratic stability of the closed-loop system for all operating points, but also considers local control performance at each operating point. The integrated control scheme can be applied in cases where the plant remains at the operating points most of the time and the switching from one point to another does not often occur. Finally, two simple numerical examples are given to show the efficiency of the proposed method.