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A quantitative robust control approach for distributed parameter systems
Author(s) -
GarciaSanz M.,
Huarte A.,
Asenjo A.
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1109
Subject(s) - computer science , stability (learning theory) , set (abstract data type) , robust control , simple (philosophy) , control theory (sociology) , quantitative feedback theory , actuator , point (geometry) , control (management) , mathematical optimization , transfer function , control engineering , control system , mathematics , engineering , artificial intelligence , philosophy , geometry , epistemology , machine learning , electrical engineering , programming language
This paper introduces a new simple quantitative robust control technique designing applicable to one‐point feedback controllers for distributed parameter systems (DPSs) with uncertainty. The paper considers the spatial distribution of the relevant points where the inputs and the outputs of the control system are applied (actuators, sensors, disturbances and control objectives) and introduces a new set of transfer functions (TFs) that describe the relationships between the distributed inputs and outputs of the system. Based on these TFs, the paper extends the classical robust stability and performance specifications to the DPS case and presents a new set of quadratic inequalities to define the quantitative feedback theory bounds. The method can also deal with uncertainty in both the model and the spatial distribution of the inputs and the outputs. Some examples illustrate the use and simplicity of the proposed methodology. Copyright © 2006 John Wiley & Sons, Ltd.