Design and Experimental Investigation of Rotational Angle-Based Tracking Control

Meng Yang; Xingyong Song; Zongxuan Sun

doi:10.1115/1.4033317

Design and Experimental Investigation of Rotational Angle-Based Tracking Control

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.4033317 ◽

2016 ◽

Vol 138 (7) ◽

Author(s):

Meng Yang ◽

Xingyong Song ◽

Zongxuan Sun

Keyword(s):

Tracking Control ◽

Internal Model ◽

Angular Displacement ◽

Tracking Error ◽

Sampling Interval ◽

Linear Matrix ◽

Computationally Efficient ◽

Rotational Angle ◽

Internal Model Principle ◽

Actuation System

This paper investigates tracking control in the rotational angle domain based on the time-varying internal model principle. The objective is to enable precise, reliable, and computationally efficient output tracking of signals that are dependent on angular displacement. To achieve desired performance, existing approaches based on internal model principle require a large number of samples per revolution, which significantly increases the controller order and also poses challenges for the transient performance. To address those issues, a varying sampling interval approach is proposed, where the angular sampling locations are not fixed but optimized based on tracking errors between sampling points so that desired performance can be achieved without increasing the number of samples. Meanwhile, to improve the convergence rate of the tracking error, additional linear matrix inequalities (LMI) constraints are added to the existing stabilizer synthesis. Through experimental study on a camless engine valve actuation system, the effectiveness of the proposed approaches is demonstrated. It is shown that, compared with the fixed interval sampling, the varying sampling approach can reduce the tracking error by over 50%.

Download Full-text

Variable Interval Sampling Based Time Varying Tracking Control With Application to Camless Engine

Volume 2: Dynamic Modeling and Diagnostics in Biomedical Systems; Dynamics and Control of Wind Energy Systems; Vehicle Energy Management Optimization; Energy Storage, Optimization; Transportation and Grid Applications; Estimation and Identification Methods, Tracking, Detection, Alternative Propulsion Systems; Ground and Space Vehicle Dynamics; Intelligent Transportation Systems and Control; Energy Harvesting; Modeling and Control for Thermo-Fluid Applications, IC Engines, Manufacturing ◽

10.1115/dscc2014-6235 ◽

2014 ◽

Author(s):

Meng Yang ◽

Zongxuan Sun

Keyword(s):

Tracking Control ◽

Variable Interval ◽

Sampling Interval ◽

Tracking Performance ◽

Time Varying ◽

Rotational Angle ◽

Actuation System ◽

Sampling Points ◽

Camless Engine ◽

Interval Sampling

This paper investigates the variable interval sampling based time-varying tracking control in the rotational angle domain. It is found that more sampling points per revolution provide better tracking performance but increase the computational burden. To solve the problem, a varying interval sampling approach is presented to optimize the angular sampling interval for the reference profile, while maintaining the same total number of sampling points. The tracking performance is improved by considering the tracking errors between the sampling points in selecting the optimal sampling intervals. Experimental results from a time-varying internal model based camless engine valve actuation system demonstrate the effectiveness of the proposed method. A quantitative analysis helps to highlight the strength of the variable interval sampling on less computational complexity and better tracking performance.

Download Full-text

Convergence aspects on internal model principle and tracking control in linear dynamical systems: classification and properties

International Journal of Systems Science ◽

10.1080/00207721.2021.2002970 ◽

2021 ◽

pp. 1-23

Author(s):

Jun Zhou

Keyword(s):

Dynamical Systems ◽

Tracking Control ◽

Internal Model ◽

Linear Dynamical Systems ◽

Internal Model Principle

Download Full-text

Internal Model Principle Method to Robust Output Voltage Tracking Control for Single-Phase UPS Inverters with Its SPWM Implementation

IEEE Transactions on Energy Conversion ◽

10.1109/tec.2020.3030894 ◽

2020 ◽

pp. 1-1

Author(s):

Yunjian Peng ◽

Weijie Sun ◽

Feiqi Deng

Keyword(s):

Tracking Control ◽

Internal Model ◽

Output Voltage ◽

Single Phase ◽

Internal Model Principle

Download Full-text

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

Complexity ◽

10.1155/2020/5381215 ◽

2020 ◽

Vol 2020 ◽

pp. 1-18

Author(s):

Xiao Yu

Keyword(s):

Tracking Control ◽

Controller Design ◽

Tracking Error ◽

State Feedback Control ◽

Control Action ◽

Linear Matrix ◽

Reference Trajectory ◽

Integral Control ◽

Control Approach ◽

Output Tracking Control

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.

Download Full-text

Robust Resonant Controllers for Distributed Energy Resources in Microgrids

Applied Sciences ◽

10.3390/app10248905 ◽

2020 ◽

Vol 10 (24) ◽

pp. 8905

Author(s):

Allal El Moubarek Bouzid ◽

Mohamed Zerrougui ◽

Seifeddine Ben Elghali ◽

Karim Beddiar ◽

Mohamed Benbouzid

Keyword(s):

Tracking Error ◽

Energy Resource ◽

Energy System ◽

Linear Matrix ◽

Distributed Energy ◽

Internal Model Principle ◽

Distributed Energy Resource ◽

Distributed Energy System ◽

Augmented State ◽

Micro Grids

Motivated by the problem of different types and variations of load in micro-grids, this paper presents robust proportional-resonant controllers with a harmonics compensator based on the internal model principle. These controllers ensure robust tracking of sinusoidal reference signals in distributed energy resource systems subject to load variation with respect to sinusoidal disturbances. The distributed generation resource and the resonant controllers are described using the augmented state system approach, allowing the application of the state feedback technique. In order to minimize the tracking error and ensure robustness against perturbation, a set of linear matrix inequalities (LMIs) are addressed for the synthesizing of controller gains. Finally, results obtained in the simulation for resonant compensators with the distributed energy system are presented, in which the controller is applied to the CC-CA inverter.

Download Full-text

Robust Tracking Control for a Class of Nonlinear Systems

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.479-481.2161 ◽

2012 ◽

Vol 479-481 ◽

pp. 2161-2164

Author(s):

Yang Yu ◽

Wei Wang

Keyword(s):

Nonlinear Systems ◽

Tracking Control ◽

Tracking Error ◽

Reference Signal ◽

Linear Matrix ◽

Robust Tracking ◽

Robust Tracking Control ◽

Controlled System ◽

Stabilization Control ◽

S Model

This paper deals with the problem of fizzy robust tracking control for a class of nonlinear systems. The nonlinear system is approximated by T-S model, considering the modeling error. The tracking error of the controlled system following the reference signal is studied, and the tracking error’s exponential stability. The coherence of tracking control and stabilization control of the fuzzy systems is proved by using Lyapunov function theory combining with linear matrix inequalities (LMIs).Simulation results demonstrate the effectiveness of the proposed approach and conditions.

Download Full-text

Further Results about the Internal Model Principle and Trajectory Tracking Control in Linear Dynamical Systems

10.23919/ccc52363.2021.9549429 ◽

2021 ◽

Author(s):

Jun Zhou ◽

Lu Feng ◽

Huimin Qian ◽

Zhen Shao

Keyword(s):

Dynamical Systems ◽

Trajectory Tracking ◽

Tracking Control ◽

Internal Model ◽

Trajectory Tracking Control ◽

Linear Dynamical Systems ◽

Internal Model Principle

Download Full-text

Robust Tracker of Hybrid Microgrids by the Invariant-Ellipsoid Set

Electronics ◽

10.3390/electronics10151794 ◽

2021 ◽

Vol 10 (15) ◽

pp. 1794

Author(s):

Hilmy Awad ◽

Ehab H. E. Bayoumi ◽

Hisham M. Soliman ◽

Michele De Santis

Keyword(s):

Sliding Mode ◽

Tracking Error ◽

Nonlinear Dynamical System ◽

Sufficient Conditions ◽

Linear Matrix ◽

Nonlinear Dynamical ◽

Load Variations ◽

Invariant Ellipsoid ◽

Steady State Responses ◽

Linearized Model

This paper introduces a new ellipsoidal-based tracker design to control a grid-connected hybrid direct current/alternating current (DC/AC) microgrid (MG). The proposed controller is robust against both parameters and load variations. The studied hybrid MG is modelled as a nonlinear dynamical system. A linearized model around an operating point is developed. The parameter changes are modelled as norm-bounded uncertainties. We apply the new extended version of the attractive (or invariant) ellipsoid for this tracking problem. Convex optimization is used to obtain the region’s minimal size where the tracking error between the state trajectories and the reference states converges. The sufficient conditions for stability are derived and solved based on linear matrix inequalities (LMIs). The proposed controller’s validity is shown via simulating the hybrid MG with various operational scenarios. In each scenario, the performance of the controller is compared with a recently proposed sliding mode controller. The comparison clearly illustrates the superiority of the developed controller in terms of transient and steady-state responses.

Download Full-text