Decentralized robust control for a class of nonlinear systems

For systems described by Euler-Lagrange equations and involve high order interconnections in the states, this paper proposes a decentralized control, which guarantees the uniform ultimate stability when the control objective is tracking a smooth desired trajectory. The controller design is based on some physical properties of such systems and Lyapunov design methodology. The performance of the proposed control scheme is illustrated through the longitudinal control of a string of vehicles within an automated highway system.

[1]  M. Tomizuka,et al.  Control issues in automated highway systems , 1994, IEEE Control Systems.

[2]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[3]  Mark W. Spong,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[4]  Nick McKeown,et al.  Automated vehicle control developments in the PATH program , 1991 .

[5]  Donald T. Gavel,et al.  Decentralized adaptive control: structural conditions for stability , 1989 .

[6]  Ye-Hwa Chen,et al.  Robust control design for interconnected systems with time-varying uncertainties , 1991 .

[7]  Charles A. Desoer,et al.  INDIRECT ADAPTIVE CONTROL OF A CLASS OF INTERCONNECTED NONLINEAR DYNAMICAL SYSTEMS , 1991 .

[8]  Homayoun Seraji,et al.  Decentralized adaptive control of manipulators: theory, simulation, and experimentation , 1989, IEEE Trans. Robotics Autom..

[9]  Li-Chen Fu,et al.  Robust adaptive decentralized control of robot manipulators , 1992 .

[10]  Yu Tang Simple robust adaptive control for a class of non‐linear systems: An adaptive signal synthesis approach , 1996 .

[11]  Suguru Arimoto,et al.  A New Feedback Method for Dynamic Control of Manipulators , 1981 .

[12]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[13]  R. Ortega,et al.  A solution to the decentralized adaptive stabilization problem , 1993 .

[14]  Lin Shi,et al.  Decentralized adaptive controller design for large-scale systems with higher order interconnections , 1992 .

[15]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[16]  Kevin M. Passino,et al.  Adaptive control of a class of decentralized nonlinear systems , 1996 .

[17]  J. Hedrick,et al.  String stability of interconnected systems , 1996, IEEE Trans. Autom. Control..

[18]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[19]  Gang Feng,et al.  Variable structure based decentralized adaptive control , 1994 .

[20]  D. Swaroop,et al.  String Stability Of Interconnected Systems: An Application To Platooning In Automated Highway Systems , 1997 .

[21]  Janisław M. Skowroński,et al.  Control of Nonlinear Mechanical Systems , 1991 .

[22]  Donald T. Gavel,et al.  Decentralized adaptive control of robot manipulators , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[23]  Petros A. Ioannou Decentralized adaptive control of interconnected systems , 1986 .

[24]  D. P. Mital,et al.  Decentralized robust controller design for a class of interconnected uncertain systems: with unknown bound of uncertainty , 1996, IEEE Trans. Autom. Control..

[25]  Lin Shi,et al.  Decentralized Adaptive Controller Design For Large-Scale Systems With Higher-Order Interconnections , 1992, 1992 American Control Conference.