Design Examples Using μ-Synthesis: Space Shuttle Lateral Axis FCS During Reentry

Doyle, John C.; Lenz, Kathryn E.; Packard, Andy

doi:10.1007/978-3-642-87516-8_9

Cited by 52 publications

(19 citation statements)

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“…Another hindrance concerns the size inflation in the controller order, as H ∞ -synthesis is a full-order method both the plant order in (1) and the order of the D-scaling accumulate at the outcome in the order of C(s). Despite apparent difficulties and sources of numerical trouble, the whole procedure has proven to work well in a number of examples [4,[22][23][24][25].…”

Section: -Synthesis With Dynamic D-scalingsmentioning

confidence: 99%

Nonsmooth μ synthesis

Apkarian

Tuan

2010

2010 11th International Conference on Control Automation Robotics &Amp; Vision

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We revisit robust complex-and mixed--synthesis problems based on upper bounds and show that they can be recast as specially structured controller design programs. The proposed reformulations suggest a streamlined handling of -synthesis problems using recently developed (local) nonsmooth optimization methods, where both scalings or multipliers and a controller of given structure are obtained simultaneously. A first cut of the nonsmooth programming software for structured H ∞ synthesis is made available through the MATLAB R2010b Prerelease, Robust Control Toolbox Version 3.5 developed by The MathWorks, Inc. of appropriate dimensions, the (assumed well-posed) lower LFT of M and N is defined as F l (M, N ) := M 11 + M 12 N (I − M 22 N ) −1 M 21 , 1495 whereas the upper LFT of M and L is obtained as: F u (L , M) := M 22 + M 21 L(I − M 11 L) −1 M 12 .The Redheffer star product [12,13] denoted ' ' of M and J is obtained as:

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Section: -Synthesis With Dynamic D-scalingsmentioning

confidence: 99%

Nonsmooth μ synthesis

Apkarian

Tuan

2010

2010 11th International Conference on Control Automation Robotics &Amp; Vision

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“…Designing controllers by -synthesis involves an iterative minimization of the upper bound using H 1 methods. The underlying theory which forms the basis of this method is discussed in detail in [23,28,29,30].…”

Section: Design Via Synthesismentioning

confidence: 99%

Robust control design framework for substructure models

Lim

1996

Journal of Guidance, Control, and Dynamics

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SUMMARYA framework for designing control systems directly from substructure models and uncertainties is proposed. The technique is based on combining a set of substructure robust control problems by an interface stiness matrix which appears as a constant gain feedback. Variations of uncertainties in the interface stiness are treated as a parametric uncertainty. It is shown that multivariable robust control can be applied to generate centralized or decentralized controllers that guarantee performance with respect to uncertainties in the interface stiness, reduced component modes and external disturbances. The technique is particularly suited for large, complex, and weakly coupled exible structures.

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“…To name a few, while Balas et al discussed the application of μ-synthesis techniques to attitude control of the space station [7] and the same author in [8] also developed robust control of flexible modes in the controller crossover region, Doyle et al in [9,10] formulated state-space solutions to standard H 2 and H ∞ control problems. Furthermore, while a case study of space shuttle lateral axis flight control system during re-entry was thoroughly discussed in [11], linear-multivariable robust control with a μ perspective was proposed in [12] by Packard et al. Interested readers in the area of robust controls may also refer to [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Robust μ-synthesis Loop Shaping for Altitude Flight Dynamics of a Flying-Wing Airframe

Santoso

Liu

Egan

2014

J Intell Robot Syst

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In this paper we present a centralised flightby-wire system based on μ-synthesis approach to the longitudinal flight motion of our experimental flying wing unmanned aerial vehicle (UAV), P15035 aircraft. The challenge associated with our UAV is related to the fact that all motions of our UAV are controlled by two independently-actuated-ailerons, together with its throttle. The first reason for considering μ-synthesis autopilot is to minimise the effects of uncertainty in modelling particularly within the bandwidth of the system. Second, it also provides flexibility in tunning due to the absence of partitioning model of MIMO system. Thus, the autopilot can be designed by keeping the system model as a whole. In terms of our technical contribution, we also perform a comparative study with respect to the well-known H ∞ autopilot. Our study indicates that our μ-synthesis F. Santoso ( ) autopilot demonstrates reasonably better performances both in time and frequency domains as indicated by rapid settling time without overshoots while still maintaining a superior robust stability margin.

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Design Examples Using μ-Synthesis: Space Shuttle Lateral Axis FCS During Reentry

Cited by 52 publications

References 1 publication

Nonsmooth μ synthesis

Nonsmooth μ synthesis

Robust control design framework for substructure models

Robust μ-synthesis Loop Shaping for Altitude Flight Dynamics of a Flying-Wing Airframe

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Design Examples Using μ-Synthesis: Space Shuttle Lateral Axis FCS During Reentry

Cited by 52 publications

References 1 publication

Nonsmooth &#x03BC; synthesis

Nonsmooth &#x03BC; synthesis

Robust control design framework for substructure models

Robust μ-synthesis Loop Shaping for Altitude Flight Dynamics of a Flying-Wing Airframe

Contact Info

Product

Resources

About

Nonsmooth μ synthesis

Nonsmooth μ synthesis