Research in Singular Perturbations and Time Scales SPaTS for Aerospace

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Research in Singular Perturbations and Time
Scales (SPaTS) for Aerospace

• D. Subbaram Naidu, PhD, PE, Fellow IEEE
• Professor, Electrical Engineering
• Director, Measurement and Control Engineering
  Research Center (MCERC)
• Associate Dean, College of Engineering
• Idaho State University
• Pocatello, ID, USA
• http//www.isu.edu/naiduds

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Outline

• Geography and Biography
• Research at Indian Inst. of Technology (IIT)
• NASA Langley Research Center, USA
• Air Force Research Lab, WPAFB, USA
• CESOS, NTNU, Norway
• Idaho National Lab, Idaho Falls
• Idaho State University MCERC
• Universities of South Western Australia

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Where is Idaho State Univ. and Idaho?
DesinenISUbbaram NaIDu
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Idaho State University Facts Sheet

• Idaho State University (ISU) was founded in 1901
• Now ISU has 7 Colleges
• Arts Sciences Business Education
  Engineering Health Professions Pharmacy
  Technology
• ISU campuses in Pocatello, Idaho Falls (CHE),
  Boise, Twin Falls
• ISU has over 13,500 students (including 3,000 at
  IF CHE Campus)
• 10 Research Centers
• Center for Ecological Research and Education
• Center for Archeological Materials and Applied
  Spectroscopy
• Family Medicine Clinical Research Center
• GIS Teaching and Research Center
• Idaho Accelerator Center
• Informatics Research Institute
• Institute of Rural Health (IRH)
• Institute of Nuclear Science Engineering (INSE)
  
• ISU Biomedical Research Institute (IBRI)
• Measurement Control Engineering Research Center
  (MCERC)

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ISU College of Engineering

• 1902 Two of the first four graduates of the
  Academy of Idaho "Civil Engineers"
• 1964 BS in Engineering and MS in Nuclear Sci.
  Engr
• 1968 College of Engineering was established
• 1989 MS in Measurement and Control Engr.
• 1993 Measurement Control Engr. Research Center
  one of the 4 at ISU recognized by SBOE
• Now ISU Engineering has
• 5 BS programs in CE, CS, EE, ME, NE ABET
  accredited
• 1 Post BS Certificate program in Applied Nuclear
  Energy
• 6 MS programs in CE, ENVE, ESM, MCE, ME, NE
• 2 PhD programs in Nuclear Sci. Engr (NSE) and
• Engr. Appl. Science (EAS)

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Biography

• Born in Seshapuram, near Tirupati, India
  farmers family
• PhD, Indian Institute of Technology (IIT),
  Kharagpur (1977)
• NASA Langley Research Center, Hampton, VA
  (1985-90)
• Idaho State University, USA (1990-present)
• US Air Force Research Laboratory, WPAFB, OH
  (1998-99)
• Norwegian University of Science and Technology
  (1994)
• Swiss Federal Institute of Technology (ETH),
  Zurich (1995)
• Nantong University, Nantong, China (2007)
• University of Western Australia, Perth (Spring
  2008)
• University of South Australia, Adelaide (Spring
  2008)
• Publications Over 200 including 5 books
• Fellow IEEE USA (1995)

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Measurement Control Engineering Research Center
(MCERC)

• Established in 1993
• Renovated Building in 2007 09 on 1030, 2nd St.
• Several Research Laboratories
• Measurement Control
• Wind Tunnel
• Structures
• Robotics
• Biomedical Engineering
• Alternate Energy Systems
• Other labs proposed Computer Science, and
  Infrastructure

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Measurement and Control?
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Research at MCERC

• Order Reduction Sing. Pert. Time Scales
  (SPaTS)
• Unified Approach to Optimal and SP systems
• Model Ref. Adaptive Control for Gas Metal Arc
  Welding
• Fusion of Soft and Hard Control for Uninhabited
  Combat Aerial Vehicles (UCAVs)
• Advanced Control Strategies for Heating,
  Ventilation and Air Conditioning (HVAC)
• Hybrid Control Strategies for Biomedical
  Engineering (BME)
• Advanced Control Strategies for Alternate Energy
  Systems

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Basis for Presentation
1985
1987
2/E
1994
2003
2003
2010
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Order Reduction via SPaTS Basis for Talk

• Y. Imura and D.S. Naidu, Unified methodology for
  Closed-Loop .., to appear in the Intl. J. of
  Inf. Syst. Science (IJISS), Canada, 2010.
• D.S. Naidu, Singular Perturbation Analysis of a
  Flexible Beam , to appear in Int. J. of Systems
  Science (IJSS), 2010.
• D.S. Naidu, Analysis of Non-dimensional Forms
  , Intl. Journal of Acta Astronautica, Vol.66,
  pp.577-586, Feb.-March 2010.
• D. S. Naidu, Singular perturbations and time
  scales , in Dynamics of Continuous, Discrete
  and Impulsive Systems (DCDIS) Journal, 2002
  (Invited Survey Paper 46 pages and 467
  references).
• D. S. Naidu and A.J. Calise, Singular
  perturbations applications to aerospace
  systems a survey,'' AIAA J. of Guidance, Control
  and Dynamics, 2001 (Invited Survey Paper, 22
  pages and 412 references).
• D. S. Naidu, Singular Perturbation Methodology in
  Control Systems, IEE Control Engineering Series,
  Vol.34, UK, 1988.
• D. S. Naidu and A.K. Rao, Singular Perturbation
  Analysis of Discrete Control Systems,
  Springer-Verlag, Berlin, West Germany, 1985.

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Outline

• Geography and Biography
• Research at Indian Inst. of Technology (IIT)
• NASA Langley Research Center, USA
• Air Force Research Lab, WPAFB, USA
• CESOS, NTNU, Norway
• Idaho National Lab, Idaho Falls
• Idaho State University MCERC
• Universities of South Western Australia

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Research at IIT-KGP

• Singular Perturbations and Time Scales (SPaTS)
  in Control Theory and Applications
• Continuous Systems PhD Thesis (1977)
• Discrete Systems AK Rao PhD (IIT,1982)
• Applications of SPaTS to ecology biology
• Publications 2 books and several journal
  articles

1985
1987
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Outline

• Geography and Biography
• Education Research in Science Engr
• Research at Indian Inst. of Technology (IIT)
• NASA Langley Research Center, USA
• Air Force Research Lab, WPAFB, USA
• CESOS, NTNU, Norway
• Idaho National Lab, Idaho Falls
• Idaho State University MCERC
• Universities of South Western Australia

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Research at NASA Langley

• Order Reduction Singular Perturbations and Time
  Scales Continued
• SPaTS for Digital Flight Control Systems
• Aeroassisted (aerobraking) Orbital Transfer
  Vehicles
• Guidance and Control of Aerospace Vehicles
• D. S. Naidu, Aeroassisted Orbital Transfer
  Guidance and Control Strategies, Lecture Notes
  (Research Monograph) in Control and Information
  Sciences, Vol.188, Springer-Verlag, London, UK,
  1994.

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AEROASSISTED ORBITAL TRANSFER
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(No Transcript)
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Outline

• Geography and Biography
• Education Research in Science Engr
• Research at Indian Inst. of Technology (IIT)
• NASA Langley Research Center, USA
• Air Force Research Lab, WPAFB, OH, USA
• (The birth place of Aviation)
• CESOS, NTNU, Norway
• Idaho National Lab, Idaho Falls
• Idaho State University MCERC
• Universities of South Western Australia

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GUIDANCE AND CONTROL STRATEGIES FOR HYPERSONIC
VEHICLES

• D. Subbaram Naidu, PhD
• Idaho State University
• Pocatello, Idaho
• and
• Senior National Research Council Fellow
• Center of Excellence for Control Theory
• Air Force Research Laboratory
• Wright-Patterson Air Force Base, OH, USA
• 1998-99

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Research at AFRL

• Guidance and Control of Hypersonic Vehicles
• Resurrection of Hypersonics
• H2 and H8 Optimal Control
• Unified Approach
• Unmanned Combat Aerial Vehicles (UCAVs)

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GNC Configuration
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CFD Simulation of HYPER-X
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Hypersonic Vehicle X-33
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Vehicles Comparison
X-33
SHUTTLE
SSTO/RLV Target
285K LB 69 FT N/A N/A 2 XRS2200 AEROSPIKES
WEIGHT LENGTH PAYLOAD (100 NM) / 28.58) BAY
SIZE PROPULSION
2.6M LB 140 FT 55,000 LB 15 x 45 FT 8 RS2200
AEROSPIKES
4.5M LB 184 FT 51,000 LB 15 x 60 FT 3 SSME
2 SOLIDS
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Fusion of Hard and Soft Computing for Guidance,
Navigation, and Control of Uninhabited Aerial
Vehicles
Mr. Andy Hoover (MS, Idaho State Univ.
2006) Faculty Advisors D. Subbaram Naidu,
PhD Marco P. Schoen, PhD
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Unmanned Combat Aerial Vehicle (UCAV)
Black Widow (USA)
Future Micro Aerial Vehicles (MAVs) Black Widow
(USA)
Firebird 2001 (Israel)
Predator (USA)
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Uninhabited Combat Aerial Vehicle (UCAV)

• Develop an autopilot for a UAV/uninhabited combat
  aerial vehicle (UCAV) using fusion of hard and
  soft control strategies
• Develop a navigation controller/interpreter to
  generate heading reference commands, and altitude
  reference commands based upon the desired global
  coordinates to be reached
• Carry out simulations for standard UAV

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Control Architecture for 3 UCAVs
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Sub-Navigation Controller

• Waypoint generator (WG) Waypoint List (WL)

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UCAV Autopilot Block Diagram

• Adaptive Fuzzy Logic Controller - (AFLC)

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Entire Matlab/Simulink Implementation of UAV
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7-Waypoint Trajectory (Aerosonde)
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UCAV Movie Simulation
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Singular Perturbations in Hypersonic Vehicles
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COORDINATE SYSTEM

• V velocity
• ? longitude
• f latitude
• ? heading angle
• ? flight path angle

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AEROPROPULSIVE FORCES

• T thrust
• V velocity
• W weight
• L aerodynamic lift
• D aerodynamic drag
• a angle of attack

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Standard Vehicle Dynamics
(1)
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Dimensionless Quantities
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Non-dimensional Form 1
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Singular Perturbation Parameter
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Non-dimensional SP Form 1
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Non-dimensional SP Forms 1-4

• In this research, further investigations are
  explored in identifying the singular perturbation
  parameter by using non-dimensional forms for the
  nonlinear dynamical equations.
• In particular, four different structures of
  identifying the singular perturbation parameter
  are presented and the various features of these
  structures are discussed.

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Questions and Comments?