Arizona State University Armando A. Rodriguez
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Potential Benefits to NASA and the Nation

 

Relevance to NASA Programs

The proposed work builds upon prior X-43A work and focuses on specific SOAREX/X-51A milestones. The proposed SOAREX aerodynamically controlled descent test in 2008 and 2010 will be particularly beneficial in advancing NASA’a progress. In short, the proposed work can be vital in achieving the short term milestones delineated within the Hypersonics Reference Document [4] as well as longer term objectives such as global reach (civilian and military) systems and two-stage-to-orbit (TSTO). As such, the proposed work is very significant.

More specifically, the proposed work describes a complete

  • modeling,
  • worst-case analysis,
  • specification development,
  • (adaptive) gain-scheduled design methodology
which is likely to assist NASA in achieving the desired 50% design-cycle-time reduction as well as significantly contributing toward their 20% reliability directive [4].

The PIs summer visits to NASA ARC should be particularly beneficial to NASA in that the tools to be developed will assist the Advanced Control Methods team to learn as much as possible from the 2008 SOAREX mission and preparing for the 2010 flight.

Potential Impact to State of Knowledge

Current State of Knowledge. The proposed work will significantly impact the state of knowledge because [4]:

  • no systematic control system design methodology/theory exists for designing robust hierarchical control systems for the class of systems under consideration i.e. unpowered and powered lifting body waveriders/glider type vehicles [5]-[27] that must operate over a wide range of flight conditions in the presence of significant aero-thermo-elastic-propulsion interaction/coupling and uncertainty [22]-[29], [30]-[32], [43], [53]

Impact for Proposed Vehicle Class. By combining classical design methods, which have already demonstrated nominal performance for the X-43A [6]-[7], with

  • first principles and computational modeling, uncertainty characterization, worst-case analysis and assessment of fundamental performance limitations, and


  • powerful modern multivariable design methodologies

    • Gain scheduling: [61]-[66], [80], [101]
    • quasi-LPV: [43], [69]-[78], [207]-[209]
    • H∞: [213]-[215]; GPC [166]-[186]
    • Constraint enforcement: [187]-[199]

    that can exploit information from the classical design approach (used on the X-43A [6]-[7], [223]) in order to select initial design parameters,

the potential for developing a systematic methodology for the important hypersonic waverider/glider vehicle class [5]-[27] under investigation, is very significant.

General Impact on Controls. Moreover, the proposed approach - which combines worst-case modeling with classical/modern analysis/design methods and constraint enforcement methods - represents a critical step toward the development of a general nonlinear theory with global robust stability and performance properties. As such, and because controls has far reaching applications across many engineering and scientific disciplines, the potential impact to the state of knowledge is very significant.

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