Adaptive Sliding Mode MRAC of Delayed Nonlinear Plants with Actuator Failures

Abstract In this paper, we develop a combined sliding mode – model reference adaptive control (MRAC) scheme for a class of delayed nonlinear dynamic systems with actuator failure which is robust with respect to actuator failures, an unknown plant delay, to a nonlinear perturbation, and to an external disturbance with unknown bounds. An appropriate Lyapunov-Krasovskii type functional with “virtual” adaptation gains is introduced to design the adaptation algorithms, and to prove stability.

[1]  Xidong Tang,et al.  Adaptive actuator failure compensation for nonlinear MIMO systems with an aircraft control application , 2007, Autom..

[2]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[3]  Marc Bodson,et al.  Multivariable adaptive algorithms for reconfigurable flight control , 1997, IEEE Trans. Control. Syst. Technol..

[4]  R. K. Mehra,et al.  A decentralized scheme for accommodation of multiple simultaneous actuator failures , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[5]  Jianliang Wang,et al.  Reliable robust flight tracking control: an LMI approach , 2002, IEEE Trans. Control. Syst. Technol..

[6]  Jovan D. Boskovic,et al.  A stable scheme for automatic control reconfiguration in the presence of actuator failures , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[7]  Per-Olof Gutman,et al.  ADAPTIVE COORDINATED DECENTRALIZED CONTROL OF STATE DELAYED SYSTEMS WITH ACTUATOR FAILURES , 2008 .

[8]  Per-Olof Gutman,et al.  Model reference adaptive control of state delayed system with actuator failures , 2005 .

[9]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[10]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[11]  Youmin Zhang,et al.  Detection, estimation, and accommodation of loss of control effectiveness , 2000 .

[12]  Hong Wang,et al.  On the use of adaptive updating rules for actuator and sensor fault diagnosis , 1997, Autom..

[13]  Xiaoli Ma,et al.  Adaptive state feedback and tracking control of systems with actuator failures , 2001, IEEE Trans. Autom. Control..

[14]  Jovan D. Boskovic,et al.  Stable multiple model adaptive flight control for accommodation of a large class of control effector failures , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).