|Prescribed Performance Adaptive Neural Tracking Control for Strict-feedback Markovian Jump Nonlinear Systems with Time-varying Delay
Ru Chang, Yi-ming Fang*, Le Liu, and Ke-song Kang
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1020-1031, 2017
Abstract : "A prescribed performance adaptive neural tracking control problem is investigated for strict-feedback
Markovian jump nonlinear systems with time-varying delay. First, a new prescribed performance constraint variable
is proposed to generate the virtual control that forces the tracking error to fall within prescribed boundaries.
Combining with the approximation capability of neural networks and backstepping design, the adaptive tracking
controller is designed. The designed controller is independent on time delay by constructing appropriate Lyapunov
functions to offset the unknown time-varying delays. It is proved that the closed-loop system is uniformly ultimately
bounded in probability, and that both steady-state and transient-state performances are guaranteed. Finally,
simulation results are given to illustrate the effectiveness of the proposed approach."
"Adaptive neural tracking control, Markovian jump nonlinear systems, prescribed performance control (PPC), time-varying delay."