Control-relevant model reduction problems for SISO H2, H∞, and μ-controller synthesis
- 1 August 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 46 (2) , 505-527
- https://doi.org/10.1080/00207178708933913
Abstract
The problem of model reduction in the context of control system design is investigated. Starting from closed-loop objectives (H2,H∞, and μ), equivalent weighted open-loop plant and controller reduction problems are developed. The control-relevant weight function incorporates explicitly all the important characteristics of the control problem, such as the setpoint/disturbance spectrum and the designer requirements for the sensitivity/complementary sensitivity functions, Furthermore, these control-relevant reduction problems are complemented with validation procedures that indicate rigorously the effects of the reduction problem on the desired performance objectives. A simple algorithm that uses standard regression routines is presented to solve these problems.Keywords
This publication has 8 references indexed in Scilit:
- Control system design for a fixed-bed methanation reactorChemical Engineering Science, 1986
- Structured uncertainty in control system designPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1985
- Transfer function synthesis using frequency response dataInternational Journal of Control, 1984
- Internal model control. A unifying review and some new resultsIndustrial & Engineering Chemistry Process Design and Development, 1982
- Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inversesIEEE Transactions on Automatic Control, 1981
- A survey of simple transfer-function derivations from high-order state-variable modelsAutomatica, 1972
- Analytical results on the use of reduced models in the control of linear dynamical systemsProceedings of the Institution of Electrical Engineers, 1969
- Transfer function synthesis as a ratio of two complex polynomialsIEEE Transactions on Automatic Control, 1963