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Computation of QFT bounds for robust sensitivity and gain-phase margin specifications

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Title Computation of QFT bounds for robust sensitivity and gain-phase margin specifications
 
Creator NATARAJ, PSV
SARDAR, G
 
Subject quantitative feedback theory
control design
generation
systems
 
Description Algorithms ale presented for generation of QFT controller bounds to achieve robust sensitivity reduction and gain-phase margin specifications. The proposed algorithms use quadratic constraints and interval plant templates to derive the bounds, and present several improvements over existing QFT bound generation algorithms: (1) The bounds can be generated oiler interval controller phases, as opposed to discrete controller phases in existing QFT algorithms. This feature essentially solves the safety problems associated with phase discretization process in QFT bound generation; (2) The generated bounds are guaranteed to be safe and reliable, cl cn for very coarse interval templates (of poor accuracy), and despite all kinds of computational err ors; (3) Inner as well as outer enclosures of the Exact bound values can be obtained using the proposed algorithms. Such enclosures directly provide upper bounds on the error in the generated results for any given interval template; (4) A very significant reduction in computational effort-typically reduction in flops hv 2-3 orders of magnitude is achieved; (5) The vertical line (or rectangle) nature of plant templates exhibited in the low ann high frequency ranges can be readily exploited to obtain bounds with very little effort; (6) The number of flops required to generate the bounds for any given template can be estimated closely a priori; (7) The (entire) algorithms can be programmed using vectorized operations, resulting in small execution times.
 
Publisher ASME-AMER SOC MECHANICAL ENG
 
Date 2011-07-18T16:57:10Z
2011-12-26T12:50:43Z
2011-12-27T05:36:45Z
2011-07-18T16:57:10Z
2011-12-26T12:50:43Z
2011-12-27T05:36:45Z
2000
 
Type Article
 
Identifier JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 122(3), 528-534
0022-0434
http://dx.doi.org/10.1115/1.1286867
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4991
http://hdl.handle.net/10054/4991
 
Language en