Sampled Data Control of a Compliant Actuated Joint Using On/Off Solenoid Valves

This paper proposes a new control system design method for a compliant actuated joint using on/off solenoid valves. The mathematical modelling and the system’s hardware are described in detail. The control design method is presented in a general manner so it could be applied for any other similar system. For the present system, the designed controller is implemented via a digital computer and it is characterised by very good performance and simplicity. The success of the proposed method is validated via simulations and experiment.

[1]  E. C. Zeeman,et al.  Stability of dynamical systems , 1988 .

[2]  Pablo Carbonell,et al.  Nonlinear control of a pneumatic muscle actuator: backstepping vs. sliding-mode , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[3]  Blake Hannaford,et al.  Measurement and modeling of McKibben pneumatic artificial muscles , 1996, IEEE Trans. Robotics Autom..

[4]  Patrick van der Smagt,et al.  Analysis and control of a rubbertuator arm , 1996, Biological Cybernetics.

[5]  J. Schiff The Laplace Transform: Theory and Applications , 1999 .

[6]  Darwin G. Caldwell,et al.  Control of pneumatic muscle actuators , 1995 .

[7]  Darwin G. Caldwell,et al.  Bio-mimetic principles in actuator design for a humanoid robot : Mobile robotics: Climbing and walking robots , 1999 .

[8]  John D'Azzo,et al.  Linear Control System Analysis and Design: Conventional and Modern , 1977 .

[9]  Giuliana Mattiazzo,et al.  Force control with fuzzy logic for pneumatic rubber muscles , 1998 .

[10]  Benjamin C. Kuo,et al.  Digital Control Systems , 1977 .

[11]  Nikolaos G. Tsagarakis,et al.  Enhanced dynamic performance in pneumatic muscle actuators , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[12]  Nikolaos G. Tsagarakis,et al.  Development of a pneumatic muscle actuator driven manipulator rig for nuclear waste retrieval operations , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[13]  M. J. D. Powell,et al.  A fast algorithm for nonlinearly constrained optimization calculations , 1978 .

[14]  Thomas Kailath,et al.  Linear Systems , 1980 .

[15]  Ian Postlethwaite,et al.  Pseudo-linear controllers for systems with saturated actuators , 2004 .

[16]  R. Fletcher Practical Methods of Optimization , 1988 .

[17]  Roger Fletcher,et al.  Practical methods of optimization; (2nd ed.) , 1987 .

[18]  H. F. Schulte The characteristics of the McKibben artificial muscle , 1961 .

[19]  Nikolaos G. Tsagarakis,et al.  Improved modelling and assessment of pneumatic muscle actuators , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[20]  K. S. Banerjee Generalized Inverse of Matrices and Its Applications , 1973 .