State space approach

Abstract

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.