A Practical Approach to Robustness Analysis with by Gilles Ferreres

By Gilles Ferreres

1. MOTIVATION in lots of actual occasions, a plant version is frequently supplied with a qualitative or quantitative degree of linked version uncertainties. at the one hand, the validity of the version is assured merely inside of a frequency band, in order that approximately not anything will be acknowledged concerning the habit of the genuine plant at excessive frequencies. nonetheless, if the version is derived at the foundation of actual equations, it may be parameterized as a functionality of some actual parameters, that are frequently no longer completely identified in perform. this is often e.g. the case in aeronautical platforms: for instance, the ae- dynamic version of an plane is derived from the flight mechanics eq- tions. while synthesizing the plane keep watch over legislation, it's then essential to take into consideration uncertainties within the values of the soundness derivatives, which correspond to the actual coefficients of the aerodynamic version. in addition, this aircraft version doesn't completely characterize the be- vior of the genuine airplane. As an easy instance, the flight regulate method or the autopilot tend to be synthesized simply utilizing the aerodynamic version, therefore with no accounting for the versatile mechanicalstructure: the c- responding dynamics are certainly regarded as excessive frequency ignored 1 dynamics, with admire to the dynamics of the inflexible version .

Show description

Read Online or Download A Practical Approach to Robustness Analysis with Aeronautical Applications PDF

Best applied mathematicsematics books

Changing Conversations in Organizations: A Complexity Approach to Change (Complexity and Emergence Inorganisations, 6)

Drawing at the theoretical foundations specified by prior volumes of this sequence, this ebook describes an method of organizational switch and improvement that's proficient by means of a complexity standpoint. It clarifies the event of being in the middle of swap. in contrast to many books that presume readability of foresight or hindsight, the writer makes a speciality of the basic uncertainty of engaging in evolving occasions as they occur and considers the inventive chances of such participation.

Frommer's Denmark (2005) (Frommer's Complete)

Adventure a spot the way in which the locals do. benefit from the top it has to provide. And steer clear of vacationer traps. At Frommer’s, we use a hundred and fifty outspoken shuttle specialists around the globe that can assist you make the perfect offerings. Frommer’s. Your advisor to an international of shuttle event. select the single advisor that provides You: Outspoken critiques on what’s worthy a while and what’s now not.

Relationship Dysfunction: A Practitioner's Guide to Comparative Treatments (Springer Series on Comparative Treatments for Psychological Disorders)

This quantity provides 18 various therapy modalities for a similar case, demonstrating a wealthy number of interventions to be had for treating courting difficulties. therapy ways are divided into structures, psychodynamic, cognitive-behavioral, integrative cures, and postmodern theories. for college students who are looking to arrange for licensure or expert counselors and therapists who are looking to increase their perform with undefined, this newly to be had and cheap paperback could be an important source.

Additional resources for A Practical Approach to Robustness Analysis with Aeronautical Applications

Example text

E. 10). is most generally a mixed model perturbation, containing parametric uncertainties and neglected dynamics. e. : The robust performance problem consists in computing the maximal amount of uncertainties, for which closed loop performance is still achieved. 4 that this robust performance problem can be equivalently transformed into an augmented robust stability problem, involving an additional fictitious full complex block (which is called a fictitious performance block). Chapter 7 will moreover illustrate that the robust performance problem is a skewed problem rather than a classical 4.

Q: pitch rotational rate. actual tail deflection angle. commanded tail deflection angle. commanded acceleration. actual acceleration. M: Mach number. V: missile velocity. Mass: missile mass. pitch moment of inertia. Q: dynamic pressure. S: reference area. d: missile diameter. 1 35 THE NONLINEAR MODEL A nonlinear longitudinal missile model is extracted from (Reichert, 1992). The control input is the tail deflection while the outputs used by the autopilot are the acceleration and rate outputs The state vector is where is the angle of attack.

These transfer matrices are chosen so that the singular values reflect the design objectives. 4). A controller is obtained, which stabilizes the augmented plant. The final controller is K(s) = Note that the above robust stabilization procedure presents special properties, since it tries as much as possible to keep the desired open loop shaping while enforcing a stability closed loop constraint. 2 APPLICATION The choice of the compensators is not detailed, the interested reader is referred to (Ferreres and M’Saad, 1996) for a related work.

Download PDF sample

Rated 4.21 of 5 – based on 9 votes