LINEAR QUADRATIC GAUSSIAN CONTROL OF A QUARTER-CAR SUSPENSION

This paper presents a method for designing linear multivariable controllers in the frequency-domain for an intelligent controlled suspension system for a quarter-car model. The design methodology uses singular value inequalities and optimal control theory. The vehicle system is augmented with additional dynamics in the form of an integrator to affect the loop shapes of the system. The measurements are assumed to be obtained in a noisy state, and the optimal control gain and the Kalman filter gain are derived using system dynamics and noise statistics. A combination of singular value analysis, eigenvalue analysis, time response, and power spectral densities of random response is used to describe the performance of the active suspension systems.

[1]  J. K. Hedrick,et al.  Alternative Control Laws for Automotive Active Suspensions , 1989 .

[2]  M. Athans,et al.  Robustness results in linear-quadratic Gaussian based multivariable control designs , 1981 .

[3]  Maciejowsk.  Multivariable Feedback Design , 1989 .

[4]  Davor Hrovat,et al.  A Two DOF Model for Jerk Optimal Vehicle Suspensions , 1996 .

[5]  Jo Yung Wong,et al.  Theory of ground vehicles , 1978 .

[6]  G. Stein,et al.  The LQG/LTR procedure for multivariable feedback control design , 1987 .

[7]  B. R. Davis,et al.  OPTIMAL LINEAR ACTIVE SUSPENSIONS WITH INTEGRAL CONSTRAINT , 1988 .

[8]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[9]  R Kashani,et al.  Robust Stability Analysis of LQG-Controlled Active Suspension with Model Uncertainty Using Structured Singular Value, μ, Method , 1992 .

[10]  Michael Athans,et al.  Gain and phase margin for multiloop LQG regulators , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[11]  Ahmet S. Yigit,et al.  ROBUST CONTROL OF LINEAR ACTIVE SUSPENSIONS , 1993 .

[12]  M. M. ElMadany.  Integral and state variable feedback controllers for improved performance in automotive vehicles , 1992 .

[13]  A. Hać.  SUSPENSION OPTIMIZATION OF A 2-DOF VEHICLE MODEL USING A STOCHASTIC OPTIMAL CONTROL TECHNIQUE , 1985 .

[14]  M. Hubbard,et al.  A comparison between jerk optimal and acceleration optimal vibration isolation , 1987 .

[15]  S. A. Hassan,et al.  The Application of Linear Optimal Control Theory to the Design of Active Automotive Suspensions , 1986 .

[16]  David Crolla,et al.  Road Vehicle Suspension System Design - a review , 1987 .

[17]  M. M. ElMadany.  Optimal Linear Active Suspensions with Multivariable Integral Control , 1990 .