Supervisory switching‐based prescribed performance control of unknown nonlinear systems against actuator failures

• Published in: International journal of robust and nonlinear control Vol. 30; no. 6; pp. 2367 - 2385
• Main Authors: Zhang, Jin‐Xi, Yang, Guang‐Hong
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.04.2020
• Subjects: actuator failures; Actuators; Adaptive control; Failure detection; fault‐tolerant control; Mathematical analysis; model uncertainties; Nonlinear control; Nonlinear systems; prescribed performance; Robust control; Shutdowns; Switching
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4878

Summary This article studies the fault‐tolerant control problem for unknown nonlinear strict‐feedback systems subject to actuator failures yet with dynamic redundancies. The prescribed performance control methodology is newly combined with a modification‐based supervisory switching strategy to solve the problem. To implement failure detection, the performance function is properly modified to synthesize a monitoring function to supervise the behavior of an error variable. Once a failure is detected, the current actuator is shut down and the backup actuator is switched in to execute the reconfigured control command. Compared with the existing results, (1) the postfailure and postswitching tracking performance is improved, other than uniform ultimate boundedness and (2) the dependence on extra robust control schemes (eg, adaptive or approximating structures) to deal with model uncertainties or the need to compute analytic derivatives of virtual control signals in the backstepping design is eliminated.