Composite Hierarchical Anti-Disturbance Control for Nonlinear Polynomial Systems with Applications to Active Suspension Control Systems

Abstract

In an effort to deal with multiple disturbances in the existence of practical nonlinear polynomial systems,, a novel composite hierarchical anti-disturbance control (CHADC) scheme is presented by integrating disturbance-observer-based control (DOBC) with mixed stabilizing control. The H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> mixed stabilizing controller within the nonlinear parameter- varying (NPV) framework is constructed separately from the nonlinear disturbance observer. The H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> mixed stabilizing control suppresses the external disturbance of the system and ensures the transient and steady-state performance, while DOBC is to attenuate parametric disturbances and modeling errors. Then, based on SOS, the H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> mixing stability. At the end of the paper, the new method proposed in this paper is applied to the active suspension system, and the experimental results show that the performance of CHADC is better than other methods..