Stochastic optimal control of truck cabin with active suspension

In this paper, a three-degree-of-freedom cabin model for a commercial truck is derived to study ride motions of the cabin under random road excitations. First, an active suspension system is designed using the linear-quadratic-Gaussian (LQG) design methodology. Then, the LQG design is reduced by the method of balanced truncation. The simulation results show that both the LQG design and the truncated controller effectively suppress the cabin vibrations induced by road unevenness. Next, the control design problem is re-formulated as a non-convex and non-smooth optimisation problem with fixed-order controllers and solved by the recently developed H∞ fixed-order optimisation (HIFOO) toolbox.

[1]  Dean Karnopp,et al.  Vibration Control Using Semi-Active Force Generators , 1974 .

[2]  Hüseyin Akçay,et al.  Frequency domain subspace-based identification of discrete-time power spectra from nonuniformly spaced measurements , 2004, Autom..

[3]  Andrew G. Alleyne,et al.  Nonlinear adaptive control of active suspensions , 1995, IEEE Trans. Control. Syst. Technol..

[4]  Henk Nijmeijer,et al.  Controlling active cabin suspensions in commercial vehicles , 2009, 2009 American Control Conference.

[5]  Malcolm C. Smith.  ACHIEVABLE DYNAMIC RESPONSE FOR AUTOMOTIVE ACTIVE SUSPENSIONS. , 1995 .

[6]  Davor Hrovat,et al.  An approach toward the optimal semi-active suspension , 1988 .

[7]  Davorin David Hrovat.  Applications of Optimal Control to Advanced Automotive Suspension Design , 1993 .

[8]  Pierre Apkarian,et al.  Nonlinear H∞ control for an integrated suspension system via parameterized linear matrix inequality characterizations , 2001, IEEE Trans. Control. Syst. Technol..

[9]  David J. Cole,et al.  Fundamental Issues in Suspension Design for Heavy Road Vehicles , 2001 .

[10]  Konghui Guo,et al.  Constrained H/sub /spl infin// control of active suspensions: an LMI approach , 2005, IEEE Transactions on Control Systems Technology.

[11]  Hüseyin Akçay,et al.  Influence of Tire Damping on Actively Controlled Quarter-Car Suspensions , 2011 .

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

[13]  Ernest Otto Doebelin,et al.  Measurement Systems Application and Design , 1966 .

[14]  M. M. ElMadany.  Stochastic Optimal Control of Highway Tractors with Active Suspensions , 1988 .

[15]  Dean Karnopp,et al.  Active and semi-active vibration isolation , 1995 .

[16]  Aleksander B. Hac,et al.  Control of Suspensions for Vehicles With Flexible Bodies—Part I: Active Suspensions , 1996 .

[17]  Taro Shimogo,et al.  Active Suspension of Truck Seat , 1998 .

[18]  A. G. Thompson.  Design of Active Suspensions , 1970 .

[19]  Michael Valášek,et al.  Extended Ground-Hook - New Concept of Semi-Active Control of Truck's Suspension , 1997 .

[20]  Kisaburo Hayakawa,et al.  Application of H∞ control to active suspension systems , 1994, Autom..

[21]  George Juraj Stein.  SOME RECENT DEVELOPMENTS IN ACCELERATION SENSORS , 2001 .