An H-infinity-based control design methodology dedicated to the active control of vehicle longitudinal oscillations

Lefebvre, D.; Chevrel, Philippe; Richard, Scott F.

doi:10.1109/tcst.2003.815552

Cited by 52 publications

(20 citation statements)

References 14 publications

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“…sizes n, p and q n = 10, p = 11, q = 1 n = 12, p = 1, q = 25 n = 60, p = 28, q = 14 n = 3, p = 1, q = 4 1 − ρ(A) • The first example comes from Control Theory: the LTI system is extracted from an active controller of vehicle longitudinal oscillation [11], and WCPG matrix is used to determine fixed-point arithmetic scaling of the states and the output.…”

Section: Numerical Examplesmentioning

confidence: 99%

Reliable Evaluation of the Worst-Case Peak Gain Matrix in Multiple Precision

Volkova¹,

Hilaire²,

Lauter³

2015

2015 IEEE 22nd Symposium on Computer Arithmetic

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Abstract-The worst-case peak gain (WCPG) of an LTI filter is an important measure for the implementation of signal processing algorithms. It is used in the error propagation analysis for filters, thus a reliable evaluation with controlled precision is required. The WCPG is computed as an infinite sum and has matrix powers in each summand. We propose a direct formula for the lower bound on truncation order of the infinite sum in dependency of desired truncation error. Several multiprecision methods for complex matrix operations are developed and their error analysis performed. We present a multiprecision complex matrix inversion algorithm using Newton-type iteration, along with its error analysis and proof of convergence. A multiprecision matrix powering method is presented. All methods yield a rigorous solution with an absolute error bounded by an a priori given value. The results are illustrated with numerical examples.

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Section: Numerical Examplesmentioning

confidence: 99%

Reliable Evaluation of the Worst-Case Peak Gain Matrix in Multiple Precision

Volkova¹,

Hilaire²,

Lauter³

2015

2015 IEEE 22nd Symposium on Computer Arithmetic

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“…Subsequent research has shown that there are still many researchers investigating active control for drivetrain vibrations by controlling engine torque output actively and dynamically with feed forward control method [9], optimal algorithm [10,11], model predictive control [12,13], H-infinity optimization [14] to replace the simple open-loop system to reduce oscillation when shifting or during tip in/out. The core principles of the above concepts are similar, by controlling engine torque according to drivetrain motion state, a controller will compensate for the speed oscillations.…”

Section: Introductionmentioning

confidence: 99%

Off-Line Optimization Based Active Control of Torsional Oscillation for Electric Vehicle Drivetrain

et al. 2017

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Abstract:As there is no clutch or hydraulic torque converter in electric vehicles to buffer and absorb torsional vibrations. Oscillation will occur in electric vehicle drivetrains when drivers tip in/out or are shifting. In order to improve vehicle response to transients, reduce vehicle jerk and reduce wear of drivetrain parts, torque step changes should be avoided. This article mainly focuses on drivetrain oscillations caused by torque interruption for shifting in a Motor-Transmission Integrated System. It takes advantage of the motor responsiveness, an optimal active control method is presented to reduce oscillations by adjusting motor torque output dynamically. A rear-wheel-drive electric vehicle with a two gear automated manual transmission is considered to set up dynamic differential equations based on Newton's law of motion. By linearization of the affine system, a joint genetic algorithm and linear quadratic regulator method is applied to calculate the real optimal motor torque. In order to improve immediacy of the control system, time consuming optimization process of parameters is completed off-line. The active control system is tested in AMEsim ® and limitation of motor external characteristics are considered. The results demonstrate that, compared with the open-loop system, the proposed algorithm can reduce motion oscillation to a satisfied extent when unloading torque for shifting.

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“…The method is robust with respect to modeling errors and parametric uncertainties. A combined H ∞ feedback and feedforward control is empoyed to damp out longitudinal oscillations using µ analysis in Lefebvre et al (2003) . The robust H ∞ method is compared to the Linear Quadratic Regulator design in Junaid et al (2005).…”

Section: Introductionmentioning

confidence: 99%

Robust H‘ Design of an Automotive Cruise Control System

et al. 2015

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Advanced Driver Assistance Systems (ADAS) are in the focus of the vehicle control research. In the paper, the design method of a controller for a longitudinal ADAS system of a test vehicle is proposed. The cruise control must guarantee precise velocity tracking at varying vehicle mass and road inclinations. The mass variation and road slope changes are formulated as disturbances of the system. A combined robust H ∞ and feedforward control design method is applied, which guarantees the robustness of the system against disturbances and considers actuator dynamics. The resulting control algorithm is implemented in CarSim. Simulation scenarios on the Mulhouse-Belfort highway section are performed to illustrate the efficiency of the method.

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An H-infinity-based control design methodology dedicated to the active control of vehicle longitudinal oscillations

Cited by 52 publications

References 14 publications

Reliable Evaluation of the Worst-Case Peak Gain Matrix in Multiple Precision

Reliable Evaluation of the Worst-Case Peak Gain Matrix in Multiple Precision

Off-Line Optimization Based Active Control of Torsional Oscillation for Electric Vehicle Drivetrain

Robust H‘ Design of an Automotive Cruise Control System

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