H∞ observer-based decentralised fuzzy control design for nonlinear interconnected systems: an application to vehicle dynamics

ABSTRACT

In this study, a decentralised output learning control strategy for a class of nonlinear interconnected systems is studied. Based on Takagi-Sugeno fuzzy (TS) model to approximate the considered interconnected nonlinear systems, a decentralised observer-based control scheme is designed to override the external disturbances such that the ${\mathcal{H}}_{\infty }$ performance is achieved. The appealing attributes of this approach include: (1) the closed-loop system exhibits a robustness against nonlinear interconnections and external disturbance, (2) by one-step procedure, the gain matrices of observer and controller are obtained on a single step. In simulation results, the controller design is evaluated on the steering stability of a car where the nonlinear model describes the side slip, roll and yaw motions of the automotive vehicle equipped with four-wheel-steering and active suspension.

KEYWORDS:

• Decentralised observer-based control
• nonlinear interconnected systems
• (TS) fuzzy model
• LMI
• automotive vehicle dynamics

Disclosure statement

No potential conflict of interest was reported by the authors.