Title :
Stability of viscoelastic control systems
Author :
Skaar, Steven B. ; Michel, Anthony N. ; Miller, Richard K.
Author_Institution :
Dept. of Eng. Sci. & Mech., Iowa State Univ., Ames, IA, USA
fDate :
4/1/1988 12:00:00 AM
Abstract :
Classical root locus plot analysis is adapted to some one-dimensional, controlled, distributed, viscoelastic structures. The constitutive law that is used for the viscoelastic material may be modeled with fractional order derivatives provided the control law(s) involve similar derivatives. Two sample one-dimensional structures and control systems are used to introduce the approach. A partial-differential-equation representation of each structure is used as well as Ritz approximation. The effect of error due to approximation on stability conclusions is discussed in the context of this comparison
Keywords :
distributed parameter systems; partial differential equations; root loci; stability; Ritz approximation; fractional order derivatives; partial-differential-equation; root locus plot; stability; viscoelastic control systems; Capacitive sensors; Control systems; Damping; Distributed control; Elasticity; Feedback control; Stability; Stress; Transfer functions; Viscosity;
Journal_Title :
Automatic Control, IEEE Transactions on
