State Space Approach

  • André Preumont
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 246)


This chapter constitutes an introduction to state feedback control for single-input single-output systems; it begins with the state space description of lightly damped flexible structures and the pole placement by state feedback. The Linear Quadratic Regulator (LQR) is analyzed using symmetric root locus. Next, the state reconstruction is discussed. The Kalman filter is also analyzed using symmetric root locus. The separation principle is introduced. Finally the two-mass problem is used as an example, to analyze the transfer function of the compensator of the LQR with full state observer, and to discuss the (lack of) robustness to the variation of the system parameters. The chapter concludes with a short list of references and a set of problems.


State space Pole placement State feedback Linear Quadratic Regulator (LQR) Symmetric root locus Observer Kalman filter Separation principle Robustness 


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Active Structures LaboratoryUniversité Libre de BruxellesBrusselsBelgium

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