Optimal control design for Maglev train suspension system

Author(s):  
Ding ZhaoHong
Author(s):  
S-H Chen ◽  
W-H Ho ◽  
J-H Chou ◽  
S-K Lin

By integrating the robust stabilizability condition, the orthogonal functions approach (OFA), and the hybrid Taguchi-genetic algorithm (HTGA), an integrative method is presented in this paper to design a robust-stable and quadratic optimal controller such that (a) the active suspension system with elemental parametric uncertainties can be robustly stabilized, and (b) a quadratic finite-horizon integral performance index for the nominal active suspension system can be minimized. In this paper, the robust stabilizability condition is proposed in terms of linear matrix inequalities (LMIs). Based on the OFA, an algebraic algorithm involving only algebraic computation is derived in this paper for solving the nominal active suspension feedback dynamic equations. By using the OFA and the LMI-based robust stabilizability condition, the dynamic optimization problem for the robust-stable and quadratic optimal control design of the linear uncertain active suspension system is transformed into a static-constrained optimization problem represented by algebraic equations with the constraint of the LMI-based robust stabilizability condition; thus greatly simplifying the robust-stable and quadratic optimal control design problem of the linear uncertain active suspension system. Then, for the static-constrained optimization problem, the HTGA is employed to find the robust-stable and quadratic optimal controllers of the linear uncertain active suspension system. A design example is given to demonstrate the applicability of the proposed integrative approach.


2019 ◽  
Vol 11 (2) ◽  
pp. 55
Author(s):  
Nur Uddin

The optimal control design of the ground-vehicle active suspension system is presented. The active suspension system is to improve the vehicle ride comfort by isolating vibrations induced by the road profile and vehicle velocity. The vehicle suspension system is approached by a quarter car model. Dynamic equations of the system are derived by applying Newton’s second law. The control law of the active suspension system is designed using linear quadratic regulator (LQR) method. Performance evaluation is done by benchmarking the active suspension system to a passive suspension system. Both suspension systems are simulated in computer. The simulation results show that the active suspension system significantly improves the vehicle ride comfort of the passive suspension system by reducing 50.37% RMS of vertical displacement, 45.29% RMS of vertical velocity, and 1.77% RMS of vertical acceleration.


Author(s):  
Olugbenga M. Anubi ◽  
Carl D. Crane

This paper presents the control design and analysis of a non-linear model of a MacPherson suspension system equipped with a magnetorheological (MR) damper. The model suspension considered incorporates the kinematics of the suspension linkages. An output feedback controller is developed using an ℒ2-gain analysis based on the concept of energy dissipation. The controller is effectively a smooth saturated PID. The performance of the closed-loop system is compared with a purely passive MacPherson suspension system and a semi-active damper, whose damping coefficient is tunned by a Skyhook-Acceleration Driven Damping (SH-ADD) method. Simulation results show that the developed controller outperforms the passive case at both the rattle space, tire hop frequencies and the SH-ADD at tire hop frequency while showing a close performance to the SH-ADD at the rattle space frequency. Time domain simulation results confirmed that the control strategy satisfies the dissipative constraint.


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