Backstepping Boundary Controllers and Observers for the Slender Timoshenko Beam: Part I - Design

• Published in: 2006 American Control Conference pp. 2412 - 2417
• Main Authors: Krstic, M., Siranosian, A.A., Smyshlyaev, A.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2006
• Subjects: Acoustic beams; Backstepping; Chemicals; Damping; Feedback; Flexible structures; Fluid dynamics; Friction; Shock absorbers; Springs

In this paper we present the first extension of the backstepping methods that we have developed so far for control of parabolic PDEs (thermal, fluid, and chemical reaction dynamics) to second-order PDE systems (often referred loosely as hyperbolic) which model flexible structures and acoustics. We i...