Design of optimal strongly stable digital control systems and application to output feedback control of mechanical systems.

*(English)*Zbl 0616.93051A new design method for an optimal digital series compensator is considered that is not produced by an optimal regulator incorporated with a state observer, but employs a new idea that assures total closed system optimality in one design step. However, the compensator so designed is not always stable, i.e. strong stability of the closed-loop system is not always guaranteed. For this case, the authors propose to use the inter- sample response to realize an optimal stable compensator and/or optimal output feedback control system. Especially when the given plant is a linearized mechanical system, such a strongly stable system can always be designed using only output data two samples prior to the current sample regardless of the system order and the parity interlacing property condition.

##### MSC:

93C57 | Sampled-data control/observation systems |

93B50 | Synthesis problems |

93C05 | Linear systems in control theory |

70Q05 | Control of mechanical systems |

93C95 | Application models in control theory |

93D15 | Stabilization of systems by feedback |