Skip to main content

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 345))

  • 548 Accesses

Abstract

This chapter describes some concepts and methods related to the design of control laws and algorithms for active control of structures. The first point will be to identify second order differential equations as models to describe the essential components of a control system. Then some issues about the state space representation of these models will be reviewed. State space is the mathematical framework most frequently used to formulate active control laws. Optimal control will be presented as a representative methodology for continuous time control. Predictive control will be formulated as representative of discrete time control methods, also pointing out the issue of the time delay and some questions about robustness.

This chapter does not try to be exhaustive. Control (in general) is a very wide area of knowledge and active control of structures is adopting more and more of its concepts, methods and techniques. The purpose of this chapter is to serve as an introduction to the problem of analysis and design of control laws. Many topics are left and can be covered going through the bibliography suggested in the last Section.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

Control (general)

  • • Brogan, W.L. (1985). “Modern Control Theory”. Prentice-Hall, USA.

    MATH  Google Scholar 

  • • Franklin, G.F., Powell, J.D. (1990). “Digital Control of Dynamic Systems”. Addison-Wesley Publishing Company, USA.

    MATH  Google Scholar 

  • • Kuo, B.C. (1991). “Automatic Control Systems, 6th edition”. Prentice-Hall, USA.

    Google Scholar 

  • • Kuo, B.C. (1992). “Digital Control Systems, 2nd edition”. Saunders College Publ., USA.

    Google Scholar 

  • State space representation

    Google Scholar 

  • • Chen, C.T. (1984). “Linear Systems Theory and Design”. Holt, Rinehart and Winston, USA.

    Google Scholar 

  • • Ogata, K. (1967). “State Space Analysis of Control Systems”. Prentice-Hall, USA.

    MATH  Google Scholar 

  • • Moler, C., Van Loan, Ch. (1978). “Nineteen dubious ways to compute the exponential of a matrix”. SIAM Review, Vol. 20, No.4, pp.801–836.

    Article  MATH  MathSciNet  Google Scholar 

Active structural control (general)

  • • Meirovitch, L. (1990). “Dynamics and Control of Structures”. John Wiley, USA.

    Google Scholar 

  • • Soong, T.T. (1990). “Active Structural Control”. Longman Scientific & TechniCal., England.

    Google Scholar 

Optimal control

  • • Abdel-Rohman, M., Quintana, V.H., Leipholz, H.H.E. (1980). “Optimal control of civil engineering structures”. ASCE Journal of Engineering Mechanics, Vol. 106, pp. 57–73.

    Google Scholar 

  • • Bryson, A.E., Ho, Y. (1969). “Applied Optimal Control”. Ginn and Company, USA.

    Google Scholar 

  • • Kwakernaak H., Sivan, R. (1972). “Linear Optimal Control Systems”. Wiley-Interscience, USA.

    MATH  Google Scholar 

  • • Sage, A.P., White, C.C. (1977). “Optimum Systems Control”. Prentice-Hall, USA.

    MATH  Google Scholar 

  • • Yang, J.N (1975). “Application of optimal control theory to civil engineering structures”.

    Google Scholar 

Predictive control

  • • Lopez Almansa, F., Rodellar, J. (1990). “Feasibility and robustness of predictive control of building structures”. Earthquake Engineering and Structural Dynamics, Vol. 19, pp. 157–171.

    Article  Google Scholar 

  • • Rodellar, J., Barbat, A.H., Martin Sanchez, J.M. (1987). “Predictive control of structures”. ASCE Journal of Engineering Mechanics, Vol. 113, pp. 797–812.

    Article  Google Scholar 

  • • Rodellar, J., Chung, L., Soong, T.T., Reinhorn, A. (1989). “Experimental digital control of structures”. ASCE Journal of Engineering Mechanics, Vol. 115, pp. 1245–1261.

    Article  Google Scholar 

Other methods in control of structures

  • • Abdel-Rohman, M., Leipholz, H.H.E. (1978). “Structural control by pole assignement method”. ASCE Journal of Engineering Mechanics, Vol. 104, pp. 1157–1175.

    Google Scholar 

  • • Kelly, J., Leitmann, G., Soldatos, A (1987). “Robust control of base isolated structures under earthquake excitation”. Journal of Optimization Theory and Applications, Vol. 53, pp. 159–181.

    Article  MATH  MathSciNet  Google Scholar 

  • • Miller, R.K., Masri, S.F., Dehghanyar, T.J., Caughey, T.K. (1988). “Active vibration control of large civil structures”. ASCE Journal of Engineering Mechanics, Vol. 114, pp. 1542–1570.

    Article  Google Scholar 

  • • Rodellar, J., Leitmann, G., Ryan, E.P. (1993). “On output feedback control of uncertain coupled systems”. International Journal of Control, Vol. 58(2), 99. 445–457.

    Article  MATH  MathSciNet  Google Scholar 

  • • Yang, J.N., Akbarpour, A., Ghaemmaghami, P. (1987). “New control algorithms for structural control”. ASCE Journal of Engineering Mechanics, Vol. 113, pp. 1369–1386.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Wien

About this chapter

Cite this chapter

Rodellar, J. (1994). Active Control: Concepts and Strategies. In: Soong, T.T., Costantinou, M.C. (eds) Passive and Active Structural Vibration Control in Civil Engineering. CISM International Centre for Mechanical Sciences, vol 345. Springer, Vienna. https://doi.org/10.1007/978-3-7091-3012-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-3012-4_14

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82615-7

  • Online ISBN: 978-3-7091-3012-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics