Nonlinear Tracking Control of a Transient Hydrostatic Dynamometer for Hybrid Powertrain Research

Author(s):  
Yu Wang ◽  
Zongxuan Sun ◽  
Kim A. Stelson

With its superior power to weight ratio, the hydrostatic dynamometer is an ideal candidate for transient engine or powertrain testing. Given its high bandwidth, the hydrostatic dynamometer can be further used as a virtual power source to emulate the dynamics of the automotive hybrid power sources. This will greatly expedite the investigation of various hybrid powertrain architectures and control methodologies without building the complete hybrid system. This paper presents the design, modeling, nonlinear tracking control and experimental investigation of a transient hydrostatic dynamometer. An electronically controlled load sensing mechanism is employed to facilitate the supply pressure control, and a two-stage high bandwidth valve is used as the primary actuator for the loading pressure control. To enable the model-based control, a 9th order physics-based model is formulated and then, identified and validated with experimental data. On this basis, model-based nonlinear tracking controls are designed for this multivariable nonlinear system to realize the precise engine speed tracking. A nonlinear model-based inversion plus PID control is first implemented and then, a state feedback control via feedback linearization is designed for reference tracking. Experimental results demonstrate precise tracking performance with less than 5% tracking error for both transient and steady state operations.

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Xiao Yu

In this paper, for the first time, the observer-based decentralized output tracking control problem with preview action for a class of interconnected nonlinear systems is converted into a regulation problem for N augmented error subsystems composed of the tracking error dynamics, the difference equation of the state observer, and the available future reference trajectory dynamics associated with each individual subsystem. The developed innovative formulation of an observer-based decentralized preview tracking control scheme consists of the integral control action, the observer-based state feedback control action, and the preview action of the desired trajectory. The controller design feasibility conditions are formulated in terms of a linear matrix inequality (LMI) by using the Lyapunov function approach to ensure the existence of the suggested observer-based decentralized control strategy. Furthermore, both decentralized observer gain matrices and decentralized tracking controller gain matrices can be efficiently and simultaneously computed through a one-step LMI procedure. Stability analysis of the closed-loop augmented subsystem is carried out to illustrate that all tracking errors asymptotically converge toward zero. Finally, a numerical example is provided to demonstrate the effectiveness of the suggested control approach.


Author(s):  
Alexander Leonessa ◽  
Wassim M. Haddad ◽  
Tomohisa Hayakawa ◽  
Yannick Morel

A direct adaptive nonlinear tracking control framework for multivariable nonlinear uncertain systems with actuator amplitude and rate saturation constraints is developed. To guarantee asymptotic stability of the closed-loop tracking error dynamics in the face of amplitude and rate saturation constraints, the control signal to a given reference (governor or supervisor) system is modified to effectively robustify the error dynamics to the saturation constraints. An illustrative numerical example is provided to demonstrate the efficacy of the proposed approach.


Author(s):  
Guangyoung Sun

Conventional use of active magnetic bearings (AMB) focuses on keeping a rotor centered at the zero reference. In this research, a control algorithm is developed for an alternate task of tracking high-bandwidth sinusoidal targets: whirling and conical motions. To increase robustness to the parametric uncertainty and the nonlinearity of inherent AMB dynamics, the sliding mode control is developed based on an original nonlinear AMB model with an uncertain magnetic force constant. Performance indices, such as the I2R power loss, the tracking error and the phase lag, are compared for the two target motions, and they are also utilized to find an optimal bias current of the actuators. Simulation results show that the rotor follows the two high-bandwidth large motion targets with low tracking error and phase lag in the presence of parametric uncertainty. Orbit motion tracking control has a variety of potential applications in rotating machinery such as active rotating stall control, in which seal clearance is required to follow a sinusoidal dynamic motion.


Author(s):  
Matthew Feemster

In this paper, an observer/controller strategy is developed for a swarm of autonomous tugboats with the collaborative mission of manipulating a disabled surface marine vessel into a desired position and orientation. Specifically, this design focuses on the elimination of direct velocity measurements/calculations during implementation by the formulation of a model based nonlinear observer. The tracking control algorithm is based on the measured tracking error signal as opposed to an estimated tracking error signal in an effort to provide improved performance.


Author(s):  
Atsushi SAKAMOTO ◽  
Yuichi IKEDA ◽  
Isao YAMAGUCHI ◽  
Takashi KIDA

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