Title :
P·SPR·D control for affine nonlinear system and robot manipulators -Stability analysis based on K-Y-P property and LaSalle’s invariance principle-
Author :
Shimizu, Kiyotaka
Author_Institution :
Fac. of Syst. Design Eng., Keio Univ., Japan
Abstract :
This paper is concerned with P·SPR·D control of affine nonlinear system and robot manipulators which are passive systems. P·SPR·D control consists of proportional(P) action + strict positive real(SPR) action + derivative(D) action. Such control can asymptotically stabilize the affine nonlinear system being of multi input and multi output. Stability analysis of the P·SPR·D control is made, based on the passivity theory and LaSalle¿s invariance principle. The L2-gain disturbance attenuation problem is also investigated. Further a set-point servo problem (set-point tracking control) for the robot manipulator is also solved by the P·SPR·D control. The effectiveness of the proposed method is demonstrated by the simulation results for a two-link manipulator.
Keywords :
PD control; asymptotic stability; invariance; manipulators; nonlinear control systems; L2-gain disturbance attenuation problem; P·SPR·D control; affine nonlinear system; asymptotic stability; invariance principle; passive systems; passivity theory; robot manipulators; set-point servo problem; set-point tracking control; stability analysis; Attenuation; Control systems; Manipulators; Nonlinear control systems; Nonlinear systems; PD control; Proportional control; Robots; Servomechanisms; Stability analysis;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738613
