Control Problems of Objects with Zeros of the Transfer Function
Keywords:
quantitative measures of controllability and observability, completeness of the object, singularity of the object, synthesis of the controller, regularization of the synthesis, direct drive servo, object with elastic couplingAbstract
Zeros of the control objects are the cause of difficulties in control system design process. In particular, this effect takes place in direct drive servo with elastic coupling whose finite-dimensional models have zeros. In modern literature, these difficulties are associated with the attenuation of controllability and observability of the objects with zeros. This article shows that controllability and observability properties could not explain the problem of the control system design process for objects with zeros because these properties are not invariant to the choice of basis. It is proposed to consider the completeness property of the object instead of the controllability and observability properties. The proximity of the object to singularity or to a loss of the completeness determines the difficulty of the control system design process. The article analyzes one of the methods to regularize the control system synthesis procedure.References
Published
2016-02-15
How to Cite
Drozdov, V., & Abdullin, A. (2016). Control Problems of Objects with Zeros of the Transfer Function. SPIIRAS Proceedings, 1(44), 114-132. https://doi.org/10.15622/sp.44.8
Section
Methods of Information Processing and Control
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).