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Pole-placement in discrete systems by using single and multirate sampling. (English) Zbl 0882.93032

The paper deals with closed-loop pole-placement in discrete, linear systems under single and multirate sampling. The technique is extendable to hybrid systems, i.e. those involving both continuous and discrete substates. The sampling rates for the state, input and output components are used as a controller design technique to achieve closed-loop pole assignment. The controller, which is also discrete or hybrid in the general case, can be periodically parametrized, which allows multiple design gains whose number and value are under the designer’s choice. The key design factor in the multirate sampling design is that once the closed-loop running sampling period has been chosen, one can use freedom in the choice of smaller sampling periods for the various plant input and output components as well as for those of the controller state. All these periods are chosen as submultiples of the closed-loop running sample period.

MSC:

93B55 Pole and zero placement problems
93C57 Sampled-data control/observation systems
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