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

Abstract 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 gene...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering Journal of systems and control engineering, 2009-03, Vol.223 (2), p.263-274
Main Author: Ozgoren, M K
Format: Article
Language:English
Subjects:
Algebra
Control systems
Controllers
Decoupling
Design engineering
Economic models
Feedback
Feedforward control
Input output analysis
Linear systems
Mathematical analysis
Mechanical engineering
Multivariable control
Multivariable control systems
Poles
Quantum theory
Regression analysis
Rejection
Stability
Systems integration
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Summary:Abstract 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.
ISSN:0959-6518
2041-3041
DOI:10.1243/09596518JSCE662