Advanced Techniques for Clearance of Flight Control Laws by Chris Fielding, Andras Varga, Samir Bennani, Michiel Selier

By Chris Fielding, Andras Varga, Samir Bennani, Michiel Selier

In this ebook fresh result of the GARTEUR (Group for Aeronautical learn and expertise in Europe) motion workforce FM (AG11) are awarded.
The ebook specializes in research innovations for the flight clearance of hugely augmented aircrafts, together with contributions of 20 ecu aeronautical corporations reminiscent of nationwide examine facilities, Aerospace Industries and Universities. The initiatives and requisites of the commercial Clearance technique for Flight regulate legislation are offered in addition to classical and especially new research equipment. different tools are evaluated and in comparison and their strength software to Civil plane is demonstrated.

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3036-3040, 1990. 16. DeGaston, R. , “Exact calculation of the multiloop stability margin”, IEEE Transactions on Automatic Control, AC-33(2), pp. 156-171, 1988. 17. Bates, D. , Hayes, M. J. , “Computation and application of the real structured singular value”, Proceedings of the 14th Int. Conf. on Systems Engineering, Coventry, UK, Vol. 1, pp. 60-66, 2000. 18. Hayes, M. , Bates, D. G. , “New tools for computing tight bounds on the real structured singular value”, AIAA Journal of Guidance, Control and Dynamics, 24(6), 2001.

In turn, if σ(Fu (M, ∆)) > 1 at any frequency for some value of ∆, then the fictitious loop could de-stabilise the system, since the phase of ∆p+1 is completely uncertain. Thus robust stability of the fictitious p + 1 block system is equivalent to robust performance of the original p block system. , ∆p+1 (jω)), σ(∆i (jω)) ≤ 1 and then check that µ∆P (M ) < 1 ∀ ω as illustrated in Fig. 3. Note that the above test is a necessary and sufficient condition for robust performance, and is thus completely nonconservative as long as the actual model uncertainty is well described by the block structure of ∆.

4 µ-Tools for the Worst Case Eigenvalue Criterion In this section we describe how the structured singular value robustness measure can be used to address the Worst Case Eigenvalue Clearance Criterion defined in Chapter 2. 14 49 ❄ ✲ ❥✲ ✲ ❥✲ P0 ✲ ✻ ✲ W M 2 ✲ ∆ M2 K ✛ Fig. 8. Multi-loop system with uncertainties - test for loop 1, exclusion region B ✲ ∆N 0 ∆ M1 0 ∆ M2 M11 ✛ Fig. 9. Standard M∆ form for robustness analysis using µ (I − M11 ∆)−1 . By testing the stability of (I − M11 ∆)−1 as the ∆i elements vary, we can find the worst case, or smallest, set of simultaneous changes in ∆i which drive the system unstable.

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