Abstract

A parameterized controller design approach is proposed to solve the problem of multi-objective control for vehicle active suspension systems by using symbolic computation. The considered model is a quarter-vehicle model of the active suspension system. The multi-objective robust control performances include the sprung mass acceleration, suspension deflection, and tire deflection. Based on dissipative Hamiltonian systems and Lyapunov function, a multi-objective $H_{\infty }$ controller design approach is developed, which can avoid solving Hamilton-Jacobi-Issacs equations. Then, an algorithm of solving semi-positive definite polynomial with tuning parameters is proposed by using symbolic computation. Furthermore, a method of parameter optimization is proposed. Simulations and comparation show that the control performance is significantly improved comparing with passive controlled systems and existing other control systems for active suspension systems.

Highlights

  • Vehicle suspension system plays a vital role in both the driving safety and comfort, where the ride comfort and the roadhandling capacity are important in modern vehicles

  • We propose a multi-objective H∞ parameterized controller design approach by Lyapunov function and symbolic computation for vehicle active suspension systems

  • The parameters’ range can be obtained by the solving turning parameters (STP) Algorithm and optimal parameters for the controller can be obtained by the parameter optimization method, respectively

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Summary

INTRODUCTION

Vehicle suspension system plays a vital role in both the driving safety and comfort, where the ride comfort and the roadhandling capacity are important in modern vehicles. Z. Cao et al.: Multi-Objective Robust Control for Vehicle Active Suspension Systems via Parameterized Controller adaptive robust control strategy has been proposed in [17] for system uncertainties and actuator saturation. By using the magnitude of suspension deflection function and road disturbance effect estimate, a nonlinear control for dual object active suspension systems was proposed in [22]. We propose a multi-objective H∞ parameterized controller design approach by Lyapunov function and symbolic computation for vehicle active suspension systems. The main features of the proposed parameterized controller are as follows: 1) The controller can satisfy the multi-objective control performance for active suspension systems.

PROBLEM FORMULATION
SOLVING TUNING PARAMETERS
DESIGN EXAMPLE
SIMULATIONS TO VEHICLE ACTIVE SUSPENSION CONTROL
DIFFERENT FLUCTUATION OF THE ROAD PROFILE
Findings
CONCLUSION
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