Robust Adaptive Control for Stochastic Discrete-Time Nonlinear Systems and Application to Gas Engine as an Electric Vehicle Extender

Abstract

In this paper, the problem of adaptive control with disturbance attenuation is investigated for stochastic discrete-time nonlinear systems with Markovian jumping parameters and unknown system parameters. Using the proposed control law and the sufficient conditions, the closed-loop system achieved ∞ performance. As a practical example of the considered problem, an air-fuel ratio controller for a gas engine intended as an electric vehicle extender is designed based on the proposed adaptive disturbance attenuation control algorithm. The air-fuel ratio controller is validated via a numerical simulation under three working conditions. The results of the numerical simulation show that the air-fuel ratio can be regulated into a range around its desired value by the proposed adaptive disturbance attenuation controller and that the adaptive law can be tuned to a steady value. The control performance indices of the proposed adaptive disturbance attenuation controller are smaller than those of the open-loop controller, which means that the proposed adaptive disturbance attenuation controller achieves a greater control effect.

Adaptive Finite-Time Tracking Control for Nonlinear Time-Varying Delay Systems With Full State Constraints and Input Saturation

“…Over the past decades, a great deal of attention has been paid to the development of adaptive control. As universal approximators, fuzzy logic systems (FLSs) and NNs have been widely used to approximate the uncertain functions in the adaptive control design [5][6][7]. For example, the adaptive fuzzy output feedback control problem for a class of switched nontriangular structure nonlinear systems was addressed in [5].…”

“…Liang et al [6] proposed an adaptive eventtriggered neural control strategy for nonaffine pure-feedback nonlinear multiagent systems. In [7], a novel adaptive faulttolerant controller has been constructed for stochastic discrete-time nonlinear systems. On the other hand, the LKFs have become a popular tool to solve time delays [8].…”