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Loop-shaping Robust Control (Hardcover, New)
Loot Price: R3,900
Discovery Miles 39 000
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Loop-shaping Robust Control (Hardcover, New)
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The loop-shaping approach consists of obtaining a specification in
relation to the open loop of the control from specifications
regarding various closed loop transfers, because it is easier to
work on a single transfer (in addition to the open loop) than on a
multitude of transfers (various loopings such as set point/error,
disturbance/error, disturbance/control, etc.). The simplicity and
flexibility of the approach make it very well adapted to the
industrial context. This book presents the loop-shaping approach in
its entirety, starting with the declension of high-level
specifications into a loop-shaping specification. It then shows how
it is possible to fully integrate this approach for the calculation
of robust and efficient correctors with the help of existing
techniques, which have already been industrially tried and tested,
such as H-infinity synthesis. The concept of a gap metric (or
distance between models) is also presented along with its
connection with the prime factors of a set of systems shaping a
ball of models, as well as its connections with robust synthesis by
loop-shaping, in order to calculate efficient and robust
correctors. As H-infinity loop-shaping is often demanding in terms
of the order of correctors, the author also looks at loop-shaping
synthesis under an ordering constraint. Two further promising lines
of research are presented, one using stochastic optimization, and
the other non-smooth optimization. Finally, the book introduces the
concept of correction with two degrees of freedom via the formalism
of prime factorization. Avenues for future work are also opened up
by the author as he discusses the main drawbacks to loop-shaping
synthesis, and how these issues can be solved using modern
optimization techniques in an increasingly competitive industrial
context, in accordance with ever more complex sets of functional
specifications, associated with increasingly broad conditions of
usage. Contents Introduction 1. The Loop-shaping Approach 2.
Loop-shaping H-infinity Synthesis 3. Two Degrees-of-Freedom
Controllers 4. Extensions and Optimizations Appendix 1.
Demonstrative Elements on the Optimization of Robust Stabilization
with Order Constraint Appendix 2. Establishment of Real LMIs for
the Quasi-Convex Problem of Optimization of the Weighting Functions
About the Authors Philippe Feyel is an R&D Engineer for the
high-tech company Sagem Defense Securite, part of the defence and
security business of the SAFRAN group, in Paris, France.
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