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A dynamic design approach using the Kalman filter for uncertainty management

Published online by Cambridge University Press:  04 May 2017

Elham Keshavarzi*
Affiliation:
Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, Oregon, USA
Matthew McIntire
Affiliation:
Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, Oregon, USA
Christopher Hoyle
Affiliation:
Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, Oregon, USA
*
Reprint requests to: Elham Keshavarzi, Mechanical, Industrial and Manufacturing Engineering, Oregon State University, 204 Rogers Hall, Corvallis, OR 97330, USA. E-mail: keshavae@oregonstate.edu

Abstract

It is desirable for complex engineered systems to be resilient to various sources of uncertainty throughout their life cycle. Such systems are high in cost and complexity, and often incorporate highly sophisticated materials, components, design, and other technologies. There are many uncertainties such systems will face throughout their life cycles due to changes in internal and external conditions, or states of interest, to the designer, such as technology readiness, market conditions, or system health. These states of interest affect the success of the system design with respect to the main objectives and application of the system, and are generally uncertain over the life cycle of the system. To address such uncertainties, we propose a resilient design approach for engineering systems. We utilize a Kalman filter approach to model the uncertain future states of interest. Then, based upon the modeled states, the optimal change in the design of the system is achieved to respond to the new states. This resilient method is applicable in systems when the ability to change is embedded in the system design. A design framework is proposed encompassing a set of definitions, metrics, and methodologies. A case study of a communication satellite system is presented to illustrate the features of the approach.

Type
Special Issue Articles
Copyright
Copyright © Cambridge University Press 2017 

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References

REFERENCES

Agarwal, H., Renaud, J.E., Preston, E.L., & Padmanabhan, D. (2004). Uncertainty quantification using evidence theory in multidisciplinary design optimization. Reliability Engineering & System Safety 85(1), 281294.Google Scholar
Antonsson, E.K., & Otto, K.N. (1995). Imprecision in engineering design. Journal of Vibration and Acoustics 117(B), 2532.CrossRefGoogle Scholar
Antonsson, E.K., & Otto, K.N. (1997). Improving engineering design with fuzzy sets. In Fuzzy Information Engineering: A Guided Tour of Applications (Dubois, D., Prade, H., & Yager, R.R., Eds.), pp. 635654. New York: Wiley.Google Scholar
Aughenbaugh, J.M., & Paredis, C.J. (2006). The value of using imprecise probabilities in engineering design. Journal of Mechanical Design 128(4), 969979.Google Scholar
Bae, H.R., Grandhi, R.V., & Canfield, R.A. (2004). Epistemic uncertainty quantification techniques including evidence theory for large-scale structures. Computers & Structures 82(13), 11011112.Google Scholar
Belbruno, E.A., & Miller, J.K. (1993). Sun-perturbed Earth-to-Moon transfers with ballistic capture. Journal of Guidance, Control, and Dynamics 16(4), 770775.Google Scholar
Carvalho, A., & Puterman, M. (2004). How should a manager set prices when the demand function is unknown. Unpublished manuscript, University of British Columbia, Vancouver.Google Scholar
Chen, W., Hoyle, C., & Wassenaar, H.J. (2013 a). Decision-Based Design: Integrating Consumer Preferences Into Engineering Design. London: Springer.Google Scholar
Chen, W., Hoyle, C., & Wassenaar, H.J. (2013 b). Decision-based design: an approach for enterprise-driven engineering design. In Decision-Based Design: Integrating Consumer Preferences Into Engineering Design, pp. 311. London: Springer.Google Scholar
Chen, W., Hoyle, C., & Wassenaar, H.J. (2013 c). Decision theory in engineering design. In Decision-Based Design: Integrating Consumer Preferences Into Engineering Design, pp. 1334. London: Springer.Google Scholar
Chen, W., Hoyle, C., & Wassenaar, H.J. (2013 d). Multilevel optimization for decision-based design. In Decision-Based Design: Integrating Consumer Preferences Into Engineering Design, pp. 319337. London: Springer.Google Scholar
Chen, X., Park, E.J., & Xiu, D. (2013). A flexible numerical approach for quantification of epistemic uncertainty. Journal of Computational Physics 240, 211224.CrossRefGoogle Scholar
Dai, Z., Scott, M.J., & Mourelatos, Z.P. (2003). Incorporating epistemic uncertainty in robust design. Proc. ASME 2003 Int. Design Engineering Technical Conf. Computers and Information in Engineering Conf., pp. 85–95. New York: ASME.Google Scholar
DeLaurentis, D.A., & Mavris, D.N. (2000). Uncertainty modeling and management in multidisciplinary analysis and synthesis. Proc. 38th AIAA Aerospace Sciences Meeting, Paper No. AIAA-2000–422, Reno, NV, January 10–13.Google Scholar
de Weck, O., & Chang, D. (2002). Architecture trade methodology for LEO personal communication systems. Proc. AIAA 20th Int. Communication Satellite Systems Conf., Montreal, May 12–15.Google Scholar
de Weck, O., Eckhart, C.M., & John, C.P. (2007). A classification of uncertainty for early product and system design. Proc. 16th Int. Conf. Engineering Design (ICED'07), pp. 28–31, Paris, August.Google Scholar
de Weck, O.L., Neufville, R.D., & Chaize, M. (2004). Staged deployment of communications satellite constellations in low earth orbit. Journal of Aerospace Computing, Information, and Communication 1(3), 119136.Google Scholar
de Weck, O.L., Scialom, U., & Siddiqi, A. (2008). Optimal reconfiguration of satellite constellations with the auction algorithm. Acta Astronautica 62(2), 112130.Google Scholar
Fowlkes, W.Y., & Creveling, C.M. (1995). Engineering Methods for Robust Product Design. Boston: Addison-Wesley.Google Scholar
Helton, J.C. (1997). Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty. Journal of Statistical Computation and Simulation 57(1–4), 376.CrossRefGoogle Scholar
Herzig, S.J., & Paredis, C.J. (2014). Bayesian reasoning over models. Proc. MoDeVVa, pp. 6978.Google Scholar
Hofer, E., Kloos, M., Krzykacz-Hausmann, B., Peschke, J., & Woltereck, M. (2002). An approximate epistemic uncertainty analysis approach in the presence of epistemic and aleatory uncertainties. Reliability Engineering & System Safety 77(3), 229238.Google Scholar
Hollnagel, E., Woods, D.D., & Leveson, N. (2007). Resilience Engineering: Concepts and Precepts. Farnham: Ashgate.Google Scholar
Igusa, T., Buonopane, S.G., & Ellingwood, B.R. (2002). Bayesian analysis of uncertainty for structural engineering applications. Structural Safety 24(2), 165186.Google Scholar
Jacobs, O.L.R. (1974). Introduction to Control Theory. Oxford: Oxford University Press.Google Scholar
Julier, S.J., & Uhlmann, J.K. (1997). New extension of the Kalman filter to nonlinear systems. Proc. AeroSense ‘97, pp. 182–193. Bellingham, WA: International Society for Optics and Photonics.Google Scholar
Kalman, R.E. (1960). A new approach to linear filtering and prediction problems. Journal of Fluids Engineering 82(1), 3545.Google Scholar
Keshavarzi, E., McIntire, M., & Hoyle, C. (2015). Dynamic design using the Kalman filter for flexible systems with epistemic uncertainty. Proc. ASME 2015 Int. Design Engineering Technical Conf., Computers and Information in Engineering Conf. New York: ASME.Google Scholar
Kleeman, L. (1996). Understanding and applying Kalman filtering. Proc. 2nd Workshop on Perceptive Systems. Curtin University of Technology, Perth, January 25–26.Google Scholar
Lamassoure, E., Saleh, J.H., & Hastings, D.E. (2002). Space systems flexibility provided by on-orbit servicing: Part 2. Journal of Spacecraft and Rockets 39(4), 561570.Google Scholar
Lutz, E., Werner, M., & Jahn, A. (2012). Satellite Systems for Personal and Broadband Communications. London: Springer.Google Scholar
Mark, G.T. (2005). Incorporating flexibility into system design: a novel framework and illustrated developments. PhD Thesis. Massachusetts Institute of Technology.Google Scholar
Maybeck, P.S. (1982). Stochastic Models, Estimation, and Control, Vol. 3. New York: Academic Press.Google Scholar
Minoli, D. (2015). Innovations in Satellite Communication and Satellite Technology. Hoboken, NJ: Wiley.Google Scholar
Oberkampf, W.L., Helton, J.C., & Sentz, K. (2001). Mathematical representation of uncertainty. Proc. 19th AIAA Non-Deterministic Approaches Forum, Paper No. 2001-1645, pp. 16–19, Anaheim, CA.Google Scholar
Penmetsa, R.C., & Grandhi, R.V. (2002). Efficient estimation of structural reliability for problems with uncertain intervals. Computers & Structures 80(12), 11031112.Google Scholar
Pratt, S.R., Raines, R., Fossa, C.E. Jr., & Temple, M. (1999). An operational and performance overview of the IRIDIUM low earth orbit satellite system. IEEE Communications Surveys 2(2), 210.Google Scholar
Rauwolf, G.A., & Coverstone-Carroll, V.L. (1996). Near-optimal low-thrust orbit transfers generated by a genetic algorithm. Journal of Spacecraft and Rockets 33(6), 859862.Google Scholar
Richharia, M. (1995). Satellite Communications Systems—Design Principles. New York: McGraw-Hill.Google Scholar
Rieger, C. (2009). Resilient control systems: a basis for next-generation secure architectures. INSIGHT 12(2), 2022.Google Scholar
Saleh, J.H. (2001). Weaving time into system architecture: new perspectives on flexibility, spacecraft design lifetime, and on-orbit servicing. PhD Thesis. Massachusetts Institute of Technology.Google Scholar
Saleh, J.H., Lamassoure, E., & Hastings, D.E. (2002). Space systems flexibility provided by on-orbit servicing: Part 1. Journal of Spacecraft and Rockets 39(4), 551560.CrossRefGoogle Scholar
Saleh, J.H., Mark, G., & Jordan, N.C. (2009). Flexibility: a multi-disciplinary literature review and a research agenda for designing flexible engineering systems. Journal of Engineering Design 20(3), 307323.CrossRefGoogle Scholar
Shafer, G. (1976). A Mathematical Theory of Evidence, Vol. 1. Princeton, NJ: Princeton University Press.Google Scholar
Siddiqi, A. (2006). Reconfigurability in space systems: architecting framework and case studies. PhD Thesis. Massachusetts Institute of Technology.Google Scholar
Siddiqi, A., & de Weck, O.L. (2008). Modeling methods and conceptual design principles for reconfigurable systems. Journal of Mechanical Design 130(10), 101102.Google Scholar
Sorenson, H.W. (1970). Least-squares estimation: from Gauss to Kalman. IEEE Spectrum 7(7), 6368.Google Scholar
Suh, E.S., de Weck, O., Kim, I.Y., & Chang, D. (2007). Flexible platform component design under uncertainty. Journal of Intelligent Manufacturing 18(1), 115126.Google Scholar
Suh, N.P. (1998). Axiomatic design theory for systems. Research in Engineering Design 10(4), 189209.Google Scholar
Thunnissen, D.P. (2005). Propagating and mitigating uncertainty in the design of complex multidisciplinary systems. PhD Thesis. California Institute of Technology.Google Scholar
Wan, E., & Van Der Merwe, R. (2000). The unscented Kalman filter for nonlinear estimation. Proc. Adaptive Systems for Signal Processing, Communications, and Control Symp. 2000, AS-SPCC, pp. 153–158. Lake Louise, Alberta, Canada: IEEE.Google Scholar
Welch, G., & Bishop, G. (2006). An Introduction to the Kalman Filter. Chapel Hill, NC: University of North Carolina Press.Google Scholar
Wertz, J.R. (Ed.) (2012). Spacecraft Attitude Determination and Control, Vol. 73. London: Springer.Google Scholar
Wertz, J.R., Everett, D.F., & Puschell, J.J. (Eds.) (2011). Space Mission Engineering: The New SMAD. Portland, OR: Microcosm Press.Google Scholar
Wood, K.L., Otto, K.N., & Antonsson, E.K. (1992). Engineering design calculations with fuzzy parameters. Fuzzy Sets and Systems 52(1), 120.Google Scholar
Youn, B.D., Choi, K.K., Du, L., & Gorsich, D. (2007). Integration of possibility-based optimization and robust design for epistemic uncertainty. Journal of Mechanical Design 129(8), 876882.Google Scholar
Zadeh, L.A. (1965). Fuzzy sets. Information and Control 8(3), 338353.Google Scholar