Skip to main content

Generalized Optimal Control Policy

  • Chapter
  • First Online:
Stochastic Optimal Control of Structures
  • 560 Accesses

Abstract

In Chaps. 3 and 4, we proposed the methodology of stochastic optimal control in the context of the probability density evolution method

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Amini F, Tavassoli MR (2005) Optimal structural active control force, number and placement of controllers. Eng Struct 27:1306–1316

    Article  Google Scholar 

  • Chang Min IJ, Soong TT (1980) Optimal controller placement in modal control of complex systems. J Math Anal Appl 75(2):340–358

    Article  MathSciNet  Google Scholar 

  • Chen JB, Li J (2005) Dynamic response and reliability analysis of non-linear stochastic structures. Probab Eng Mech 20:33–44

    Article  Google Scholar 

  • Chen JB, Li J (2007) The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters. Struct Saf 29(2):77–93

    Article  Google Scholar 

  • Chen JB, Li J (2008) Strategy for selecting representative points via tangent spheres in the probability density evolution method. Int J Numer Meth Eng 74(13):1988–2014

    Article  MathSciNet  Google Scholar 

  • Chen GS, Robin JB, Salama M (1991) Optimal placement of active/passive members in truss structures using simulated annealing. AIAA J 29(8):1327–1334

    Article  Google Scholar 

  • Cheng FY, Pantelides CP (1988) Optimal placement of actuators for structural control. Technical Report NCEER-88-0037, National Centre for Earthquake Engineering Research, State University of New York, Buffalo, New York

    Google Scholar 

  • Eldred MS, Adams BM, Gay DM, et al. (2007) DAKOTA, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis (Version 4.1+ User’s Manual). Sandia National Laboratories, SAND 2006-6337

    Google Scholar 

  • Ibidapo-Obe O (1985) Optimal actuators placement for the active control of flexible structures. J Math Anal Appl 105(1):12–25

    Article  MathSciNet  Google Scholar 

  • Kim J, Choi H, Min KW (2003) Performance-based design of added viscous dampers using capacity spectrum method. J Earthquake Eng 7(1):1–24

    Google Scholar 

  • Laskin RA (1982) Aspects of the dynamics and controllability of large flexible structures. PhD Dissertation, Columbia University

    Google Scholar 

  • Li J, Chen JB (2004) Probability density evolution method for dynamic reliability analysis of stochastic structures. J Vib Eng 17(2):121–125 (in Chinese)

    Google Scholar 

  • Li J, Chen JB (2007) The number theoretical method in response analysis of nonlinear stochastic structures. Comput Mech 39(6):693–708

    Article  MathSciNet  Google Scholar 

  • Lindberg RE Jr, Longman RW (1984) On the number and placement of actuator for independent modal space control. J Guid 7(2):215–221

    Article  Google Scholar 

  • May BS, Beck JL (1998) Probabilistic control for the active mass driver benchmark structural model. Earthquake Eng Struct Dynam 27:1331–1346

    Article  Google Scholar 

  • Park KS, Koh HM, Hahm D (2004) Integrated optimum design of viscoelastically damped structural systems. Eng Struct 26:581–591

    Article  Google Scholar 

  • Soong TT, Dargush GF (1997) Passive energy dissipation systems in structural engineering. John Wiley & Sons, New York

    Google Scholar 

  • Spencer Jr BF, Kaspari Jr DC, Sain MK (1994) Structural control design: a reliability-based approach. Proc Am Control Conf Baltimore Maryland 1062–1066

    Google Scholar 

  • Vander Velde WE, Carignan CR (1984) Number and placement of control system components considering possible failures. J Guid 7(6):703–709

    Article  Google Scholar 

  • Zhang RH, Soong TT (1992) Seismic design of viscoelastic dampers for structural applications. ASCE J Struct Eng 118(5):1375–1391

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yongbo Peng .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd. and Shanghai Scientific and Technical Publishers

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Peng, Y., Li, J. (2019). Generalized Optimal Control Policy. In: Stochastic Optimal Control of Structures. Springer, Singapore. https://doi.org/10.1007/978-981-13-6764-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-6764-9_5

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-6763-2

  • Online ISBN: 978-981-13-6764-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics