A Two DOF Model for Jerk Optimal Vehicle Suspensions

SUMMARY Researchers have proposed various active suspension concepts to optimize the tradeoff between ride and handling in passenger vehicles. A few investigators suggested inclusion of the passenger jerk, the derivative of the passenger acceleration, as a measure of ride quality in the performance index. Minimization of a performance index then optimizes both the acceleration and jerk as well as other outputs representing handling quality and design constraints. This approach is called jerk optimal control. This paper compares two different vehicle models of increasing complexity (the one and two DOF quarter car) using jerk optimal control. Different aspects of suspension performance are investigated, including the structure of the system transfer functions, the structure of the force control laws, and the tradeoffs between the various root mean square (rms) outputs defining system ride and handling performance. Tables compare the numerical results of the two models, allowing predictions of actual vehicl...

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

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

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

[4]  Davor Hrovat,et al.  Optimum Vehicle Suspensions Minimizing RMS Rattlespace, Sprung-Mass Acceleration and Jerk , 1981 .

[5]  B. Porter,et al.  Controllability of multivariable systems incorporating integral feedback , 1970 .

[6]  A. G. Thompson,et al.  An Active Suspension with Optimal Linear State Feedback , 1976 .

[7]  Dean Karnopp,et al.  Comparative Study of Optimization Techniques for Shock and Vibration Isolation , 1969 .

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

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

[10]  B. Porter,et al.  Optimal control of multivariable linear systems incorporating integral feedback , 1971 .

[11]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[12]  L. L. Hoberock,et al.  A Survey of Longitudinal Acceleration Comfort Studies in Ground Transportation Vehicles , 1977 .

[13]  Dean Karnopp.  Two Contrasting Versions of the Optimal Active Vehicle Suspension , 1986 .

[14]  D. Hrovat,et al.  Erratum: “Optimum Vehicle Suspensions Minimizing RMS Rattlespace Sprung-Mass Acceleration and Jerk” (Journal of Dynamic Systems, Measurement, and Control, 1981, 103, pp. 228–336) , 1981 .

[15]  B. Porter,et al.  Necessary and sufficient conditions for controllability of multivariable systems incorporating integral feedback , 1970 .

[16]  M. J. Rabins,et al.  Introducing systems and control , 1974 .

[17]  D. Hrovat,et al.  Influence of unsprung weight on vehicle ride quality , 1988 .

[18]  B. Porter,et al.  Mode-controllability matrices of multivariable linear systems incorporating integral feedback , 1970 .