Almost disturbance decoupling control of nonlinear MIMO uncertain system and application to half-car active suspension system

Abstract

This paper studies the tracking and almost disturbance decoupling problem of nonlinear multi-input multi-output uncertain systems based on the feedback linearisation approach. The main contribution of this study is to construct a controller, under appropriate conditions, such that the resulting closed-loop system is valid for any initial condition and bounded tracking signal with the following characteristics: input-to-state stability with respect to disturbance inputs and almost disturbance decoupling, i.e., the influence of disturbances on the L(2) norm of the output tracking error can be arbitrarily attenuated by changing some adjustable parameters. One example, which cannot be solved by the first paper on the almost disturbance decoupling problem, is proposed in this paper to exploit the fact that the tracking and the almost disturbance decoupling performances are easily achieved by the proposed approach. In order to demonstrate the practical applicability, the paper has investigated a famous half-car active suspension system.