FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2924012316> ?p ?o ?g. }

• W2924012316 abstract "Author(s): Hassan, Ahmed | Advisor(s): Taha, Haithem E | Abstract: Differential-geometric control theory exploits textit{differential geometry} in the analysis of dynamical control systems. Differential geometry is a mathematical discipline that is concerned with studying calculus on curved (non-Euclidean) spaces. The main focus of this Dissertation is to formulate modern aeronautical engineering applications in a differential-geometric control framework. Nonlinear controllability analysis is one of the most important aspects of differential-geometric control theory. Its importance emanates from the fact that linear controllability conditions for linearized systems are not necessary. That is, there exists a class of nonlinear systems that are linearly uncontrollable but nonlinearly controllable. In particular, it allows for identification of the ability to generate motions along unactuated (nonintuitive) directions through specific interactions between the system dynamics and control inputs. In this Dissertation, differential-geometric control theory is utilized to analyze the nonlinear controllability of airplane flight dynamics. This study lead to several discoveries. First, it is found that an airplane in an upset situation where all control surfaces are blocked (inoperative) and linear controllability is lost, nonlinear controllability can be recovered using engine control only. More importantly, the study reveals unconventional mechanisms to generate motion along different directions in the state space. In particular, a novel roll mechanism that relies on nonlinear interactions between the elevator and aileron control surfaces is discovered. This novel roll mechanism is found to be superior in comparison to the conventional one (using ailerons only) near stall. Using differential-geometric control tools (e.g., non-holonomic motion planning and Fliess functional expansion), it is shown that the discovered roll mechanism can provide four times rolling motion near stall in comparison to the conventional roll control using ailerons. This result suggests that the discovered roll mechanism will provide a significant solution to the loss of control problem near stall, which is the leading cause of fatal accidents in general aviation airplanes. Combined with textit{chronological calculus}, differential-geometric control theory provides rigorous analysis tools for time-varying vector fields, such as higher-order averaging of time-periodic systems and decomposition of multi-scale time-varying vector fields. These tools are applied, in this Dissertation, to the multi-body, time-periodic, flapping-wing flight dynamics. The rigorous analysis using these combined geometric-control-averaging techniques revealed unconventional balance and stability characteristics in the rich flapping flight dynamics of insects/birds. In particular, in contrast to the prevailing belief in the flapping flight dynamics community that insects are unstable at hover due to the lack of pitch stiffness, the current analysis revealed that flapping species enjoy a vibrational stabilization mechanism. That is, the natural wing periodic forcing induces a passive stabilization mechanism in the form of pitch stiffness, similar to the Kapitza pendulum." @default.
• W2924012316 created "2019-04-01" @default.
• W2924012316 creator A5026732077 @default.
• W2924012316 date "2018-01-01" @default.
• W2924012316 modified "2023-09-27" @default.
• W2924012316 title "Differential-Geometric-Control Formulation of Unconventional Flight Dynamics" @default.
• W2924012316 hasPublicationYear "2018" @default.
• W2924012316 type Work @default.
• W2924012316 sameAs 2924012316 @default.
• W2924012316 citedByCount "0" @default.
• W2924012316 crossrefType "journal-article" @default.
• W2924012316 hasAuthorship W2924012316A5026732077 @default.
• W2924012316 hasConcept C121332964 @default.
• W2924012316 hasConcept C127413603 @default.
• W2924012316 hasConcept C134306372 @default.
• W2924012316 hasConcept C146978453 @default.
• W2924012316 hasConcept C154945302 @default.
• W2924012316 hasConcept C158622935 @default.
• W2924012316 hasConcept C192939610 @default.
• W2924012316 hasConcept C2775924081 @default.
• W2924012316 hasConcept C28826006 @default.
• W2924012316 hasConcept C33923547 @default.
• W2924012316 hasConcept C41008148 @default.
• W2924012316 hasConcept C47446073 @default.
• W2924012316 hasConcept C48209547 @default.
• W2924012316 hasConcept C62520636 @default.
• W2924012316 hasConcept C91581856 @default.
• W2924012316 hasConcept C93226319 @default.
• W2924012316 hasConceptScore W2924012316C121332964 @default.
• W2924012316 hasConceptScore W2924012316C127413603 @default.
• W2924012316 hasConceptScore W2924012316C134306372 @default.
• W2924012316 hasConceptScore W2924012316C146978453 @default.
• W2924012316 hasConceptScore W2924012316C154945302 @default.
• W2924012316 hasConceptScore W2924012316C158622935 @default.
• W2924012316 hasConceptScore W2924012316C192939610 @default.
• W2924012316 hasConceptScore W2924012316C2775924081 @default.
• W2924012316 hasConceptScore W2924012316C28826006 @default.
• W2924012316 hasConceptScore W2924012316C33923547 @default.
• W2924012316 hasConceptScore W2924012316C41008148 @default.
• W2924012316 hasConceptScore W2924012316C47446073 @default.
• W2924012316 hasConceptScore W2924012316C48209547 @default.
• W2924012316 hasConceptScore W2924012316C62520636 @default.
• W2924012316 hasConceptScore W2924012316C91581856 @default.
• W2924012316 hasConceptScore W2924012316C93226319 @default.
• W2924012316 hasLocation W29240123161 @default.
• W2924012316 hasOpenAccess W2924012316 @default.
• W2924012316 hasPrimaryLocation W29240123161 @default.
• W2924012316 hasRelatedWork W1468954232 @default.
• W2924012316 hasRelatedWork W1600744856 @default.
• W2924012316 hasRelatedWork W1645584797 @default.
• W2924012316 hasRelatedWork W167850044 @default.
• W2924012316 hasRelatedWork W1906460778 @default.
• W2924012316 hasRelatedWork W1970522895 @default.
• W2924012316 hasRelatedWork W2075621531 @default.
• W2924012316 hasRelatedWork W2157843534 @default.
• W2924012316 hasRelatedWork W2188834755 @default.
• W2924012316 hasRelatedWork W2320808844 @default.
• W2924012316 hasRelatedWork W2332886227 @default.
• W2924012316 hasRelatedWork W2399641173 @default.
• W2924012316 hasRelatedWork W2576857007 @default.
• W2924012316 hasRelatedWork W2861726456 @default.
• W2924012316 hasRelatedWork W2913302279 @default.
• W2924012316 hasRelatedWork W2997023541 @default.
• W2924012316 hasRelatedWork W3007066551 @default.
• W2924012316 hasRelatedWork W3118752405 @default.
• W2924012316 hasRelatedWork W39085714 @default.
• W2924012316 hasRelatedWork W2090576598 @default.
• W2924012316 isParatext "false" @default.
• W2924012316 isRetracted "false" @default.
• W2924012316 magId "2924012316" @default.
• W2924012316 workType "article" @default.