Static output feedback H∞ control for active suspension system with input delay and parameter uncertainty

Jiangcheng Chen,Ping He,Jinhua Tang,Kuiyang Wang

doi:10.1177/1687814018786581

Abstract

This article focuses on static output feedback [Formula: see text] control for active suspension system with input delay and parameter uncertainty. The parameter uncertainty of active suspension system model, input delay of actuator, input disturbance of road, and measurement output disturbance are simultaneously introduced in active suspension system. A kind of static output feedback [Formula: see text] controller is designed, which can consider the above factors, simultaneously. First of all, the mathematical model of quarter-vehicle active suspension system and the system state equation are established. Second, the static output feedback [Formula: see text] controller is designed by employing the Lyapunov–Krasovskii functional for system state equations without or with disturbance. The design problem of static output feedback [Formula: see text] controller for closed-loop system is transformed into the solving problem of linear matrix inequality. Finally, according to the designed controller and the specific vehicle parameters, the simulation model of quarter-vehicle active suspension system is established. And the simulations of three cases, for example, without disturbance, only with input disturbance, and with input disturbance and output disturbance, are exploited to demonstrate the feasibility and effectiveness of the proposed schemes.

Highlights

It is well known that suspension system is one of the important parts of vehicle chassis, which heavily affects the handling stability and ride performance which are at odds with each other.[1]
Active suspension system is faced with parameter uncertainty of system,[3] input delay of actuator, input disturbance of uneven pavement, and measurement output disturbance of
The problem of static output feedback H‘ controller design will be solved for active suspension system with input delay and parameter uncertainty

Summary

Introduction

It is well known that suspension system is one of the important parts of vehicle chassis, which heavily affects the handling stability and ride performance which are at odds with each other.[1]. The problem of static output feedback H‘ controller design will be solved for active suspension system with input delay and parameter uncertainty. Consider the quarter-vehicle active suspension system (3) without disturbances, that is, w1(t) = 0 and w2(t) = 0, if there exist positive-definite matrices X , Z 2 Rn 3 n, arbitrary matrix Y 2 Rm 3 n, and a scalar a.0, such that the following LMI holds. ÀgI ð18Þ where S = AX + XAT + Z + aHHT , H denotes the matrix obtained by matrix symmetry, the quartervehicle active suspension system (3) with the controller u(t) = Ky(t), where K = YX À1C2y ð19Þ wishaesryemCp2ytodteicnaolltyesstthaeblgeenfoerralHiz‘edpienrvfeorrsme amnacteriixndoefxC2g., Proof.

PDBKL2

E1T 32 E1T 3T

Conclusion