An algebraic method for designing controllers for multi-input multi-output linear systems via s-domain input-output decoupling

Date

2009-03-01

Author

Özgören, Mustafa Kemal

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The method introduced here is applicable for multi-input multi-output, linear, and time-invariant systems. The state and output equations of the system, which are originally expressed in the t-domain, are first transformed into the s-domain. Then, input-output decoupling is achieved by generating the actual control variables as combinations of virtual control variables in such a way that each output is controlled by only the dedicated one of the virtual control variables. As the next stage, appropriate linear controllers are designed to generate the virtual control variables with feedback, feedforward, and disturbance rejection features. The design method is algebraic and involves the assignment of not only the closed-loop poles but also the type numbers associated with the reference and disturbance inputs. The multivariable transformation filter that converts the virtual control variables into actual ones is formed properly to prevent any possibility of internal instability.

Subject Keywords

Multivariable Systems, Multi-Input Multi-Output Systems, Linear Time-Invariant Systems, Input-Output Decoupling, Non-Interacting Controls, Decoupling Transformation Filter

URI

https://hdl.handle.net/11511/32446

Journal

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING

DOI

https://doi.org/10.1243/09596518jsce662

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

M. K. Özgören, “An algebraic method for designing controllers for multi-input multi-output linear systems via s-domain input-output decoupling,” PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, pp. 263–274, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32446.