Mixed H2/H∞ Observer-Based LPV Control of a Hydraulic Engine Cam Phasing Actuator

2011 ◽  
Author(s):  
Andrew White ◽  
Zhen Ren ◽  
Guoming Zhu ◽  
Jongeun Choi
Keyword(s):  
Engine Speed ◽  
Test Bench ◽  
Linear Models ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Linear Parameter Varying ◽  
The Family ◽  
Lpv Control ◽  
Lpv System ◽  
Variable Valve

In this paper, a series of closed-loop system identification tests was performed for a variable valve timing cam phaser system on a test bench to obtain a family of linear models for an array of engine speeds and oil pressures. Using engine speed and oil pressure as the system parameters, the family of linear models was translated into a linear parameter varying (LPV) system. The engine speed and oil pressure can be measured in real-time by these sensors equipped on the engine, thus allowing their use as scheduling parameters. An observer-based gain-scheduling controller for the obtained LPV system is then designed based on the numerically efficient convex optimization or linear matrix inequality (LMI) technique. Test bench results show the effectiveness of the proposed scheme.

scholarly journals Quadratic Stabilization of LPV System by an LTI Controller Based on ILMI Algorithm

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Xie
Keyword(s):  
Controller Design ◽  
Linear Time ◽  
Admissible Solution ◽  
Linear Matrix ◽  
Linear Parameter Varying ◽  
Linear Time Invariant ◽  
Lpv Control ◽  
Lpv System ◽  
Time Invariant ◽  
Iterative Linear Matrix Inequality

A linear time-invariant (LTI) output feedback controller is designed for a linear parameter-varying (LPV) control system to achieve quadratic stability. The LPV system includes immeasurable dependent parameters that are assumed to vary in a polytopic space. To solve this control problem, a heuristic algorithm is proposed in the form of an iterative linear matrix inequality (ILMI) formulation. Furthermore, an effective method of setting an initial value of the ILMI algorithm is also proposed to increase the probability of getting an admissible solution for the controller design problem.

Experimental Study on an Electric Variable Valve Timing Actuator: Linear Parameter Varying Modeling and Control

2017 ◽  
Vol 139 (10) ◽  
Author(s):  
Ali Khudhair Al-Jiboory ◽  
Guoming G. Zhu ◽  
Shupeng Zhang
Keyword(s):  
System Identification ◽  
Engine Speed ◽  
Gain Scheduling ◽  
Variable Valve Timing ◽  
Linear Parameter ◽  
Valve Timing ◽  
Battery Voltage ◽  
Linear Parameter Varying ◽  
Variable Valve ◽  
And Control

This paper presents experimental investigation results of an electric variable valve timing (EVVT) actuator using linear parameter varying (LPV) system identification and control. For the LPV system identification, a number of local system identification tests were carried out to obtain a family of linear time-invariant (LTI) models at fixed engine speed and battery voltage. Using engine speed and battery voltage as time-varying scheduling parameters, the family of local LTI models is translated into a single LPV model. Then, a robust gain-scheduling (RGS) dynamic output-feedback (DOF) controller with guaranteed H∞ performance was synthesized and validated experimentally. In contrast to the vast majority of gain-scheduling literature, scheduling parameters are assumed to be polluted by measurement noises and the engine speed and battery voltage are modeled as noisy scheduling parameters. Experimental and simulation results show the effectiveness of the developed approach.

scholarly journals A Review of Convex Approaches for Control, Observation and Safety of Linear Parameter Varying and Takagi-Sugeno Systems

Processes ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 814 ◽  
Author(s):  
Francisco-Ronay López-Estrada ◽  
Damiano Rotondo ◽  
Guillermo Valencia-Palomo
Keyword(s):  
Linear Models ◽  
Fault Tolerant ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying ◽  
Complex Nonlinear Systems ◽  
Takagi Sugeno ◽  
Feedback Tracking ◽  
Equivalent Description

This paper provides a review about the concept of convex systems based on Takagi-Sugeno, linear parameter varying (LPV) and quasi-LPV modeling. These paradigms are capable of hiding the nonlinearities by means of an equivalent description which uses a set of linear models interpolated by appropriately defined weighing functions. Convex systems have become very popular since they allow applying extended linear techniques based on linear matrix inequalities (LMIs) to complex nonlinear systems. This survey aims at providing the reader with a significant overview of the existing LMI-based techniques for convex systems in the fields of control, observation and safety. Firstly, a detailed review of stability, feedback, tracking and model predictive control (MPC) convex controllers is considered. Secondly, the problem of state estimation is addressed through the design of proportional, proportional-integral, unknown input and descriptor observers. Finally, safety of convex systems is discussed by describing popular techniques for fault diagnosis and fault tolerant control (FTC).

Integrated System Identification and Control Design for an IC Engine Variable Valve Timing System

2010 ◽  
Author(s):  
Zhen Ren ◽  
Guoming G. Zhu
Keyword(s):  
System Identification ◽  
Closed Loop ◽  
Test Bench ◽  
Open Loop ◽  
Integrated System ◽  
Variable Valve Timing ◽  
Valve Timing ◽  
Closed Loop System ◽  
Variable Valve ◽  
And Control

This paper applies integrated system modeling and control design process to a continuously variable valve timing (VVT) actuator system that has different control input and cam position feedback sample rates. Due to high cam shaft torque disturbance and high actuator open-loop gain, it is fairly difficult to maintain the cam phase at the desired constant level with an open-loop controller. As a result, multirate closed-loop system identification is a necessity. For this study, multirate closed-loop system identification, PRBS q-Markov Cover, was used for obtaining linearized system models at different engine operational conditions; and the output covariance constraint (OCC) controller, an H2 controller, was designed based upon the identified model and evaluated on the VVT test bench. Performances of the designed OCC controller was compared with those of the baseline PI controller on the test bench. Results show that the OCC controller uses less control effort and has less overshoot than those of PI ones.

scholarly journals Industrial Process Control Using LPV

2017 ◽  
Vol 11 (9) ◽  
pp. 39 ◽  
Author(s):  
Musa Abdalla ◽  
Tamir Shagarin
Keyword(s):  
Process Control ◽  
Industrial Process ◽  
Linear Matrix ◽  
Unified Approach ◽  
Closed Loop System ◽  
Industrial Control ◽  
Linear Parameter Varying ◽  
System A ◽  
Industrial Process Control ◽  
Control Application

An industrial process control application of level and temperature is considered. The nonlinear mathematical model of the system is cast as a linear parameter varying (LPV) system. A linear matrix inequality (LMI) type of controller is successfully designed using the LMI unified approach to regulating both controlled variables, namely; temperature and level. The closed loop system is then implemented through computer simulation to show the effectiveness of the controller in performing the combined level-temperature regulation. Basically, this combined level and temperature industrial control application is used to demonstrate the effectiveness of post-modern controllers; in this case LMI based controllers.

LPV Control of an Electronic Throttle

2013 ◽  
Author(s):  
Shupeng Zhang ◽  
Andrew White ◽  
Guoming Zhu ◽  
Jie J. Yang
Keyword(s):  
Gain Scheduling ◽  
Linear Matrix ◽  
Optimization Approach ◽  
Battery Voltage ◽  
Electronic Throttle ◽  
Linear Parameter Varying ◽  
Time Varying Parameters ◽  
Linear Friction ◽  
Lpv Control ◽  
Improved Performance

In this paper, a discrete-time electronic throttle model was developed based upon the parameters obtained through system identification. To design gain-scheduling controllers using LPV (linear parameter varying) scheme, the throttle was modeled as an LPV system, where the vehicle battery voltage and the non-linear friction coefficient are the measurable time-varying parameters. Gain-scheduling H 2 controller was designed for the LPV throttle system using the linear matrix inequality (LMI) convex optimization approach. The designed controller is validated through simulations and show that the proposed controller provides improved performance over the baseline fixed gain controller.

Integrated System ID and Control Design for an IC Engine Variable Valve Timing System

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
Zhen Ren ◽  
Guoming G. Zhu
Keyword(s):  
System Identification ◽  
Closed Loop ◽  
Test Bench ◽  
Open Loop ◽  
Integrated System ◽  
Variable Valve Timing ◽  
Valve Timing ◽  
Closed Loop System ◽  
Variable Valve ◽  
And Control

This paper applies integrated system modeling and control design process to a continuously variable valve timing (VVT) actuator system that has different control input and cam position feedback sample rates. Due to high cam shaft torque disturbance and high actuator open-loop gain, it is also difficult to maintain the cam phase at the desired constant level with an open-loop controller for system identification. As a result, multirate closed-loop system identification becomes necessary. For this study, a multirate closed-loop system identification method, pseudo-random binary signal q-Markov Cover, was used for obtaining linearized system models of the nonlinear physical system at different engine operational conditions; and output covariance constraint (OCC) controller, an H2 controller, was designed based upon the identified nominal model and evaluated on the VVT test bench. Performance of the designed OCC controller was compared with that of the well-tuned baseline proportional-integral (PI) controller on the test bench. Results show that the OCC controller uses less control effort and has significant lower overshoot than those of PI ones.

scholarly journals Gain Scheduling Controller Design for Two-Rotor Hovering System and its Experimental Verification

2006 ◽  
Vol 18 (5) ◽  
pp. 589-597
Author(s):  
Makoto Yamashita ◽  
◽  
Masami Saeki ◽  
Nobutaka Wada ◽  
Izumi Masubuchi ◽  
...  
Keyword(s):  
Flight Control ◽  
State Feedback ◽  
Optimization Problem ◽  
Controller Design ◽  
Gain Scheduling ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Convex Optimization Problem ◽  
Linear Parameter Varying ◽  
Lpv System

We propose two design methods of a gain scheduling controller for flight control of two-rotor hovering system. We first propose a method of converting whole dynamics of the hovering system to a linear parameter-varying (LPV) system at once. Secondly, we propose a method of linearizing longitudinal dynamics of the system exactly and converting remaining dynamics to an LPV system. In both cases, the state feedback gain scheduling controller is designed for the obtained LPV system by solving a convex optimization problem with linear matrix inequality (LMI) constraints. Experimental results show the effectiveness of the proposed methods.

Generalized Frequency Domain Robust Tuning of a Family of Fractional Order PI/PID Controllers to Handle Higher Order Process Dynamics

2011 ◽  
Vol 403-408 ◽  
pp. 4859-4866 ◽  
Author(s):  
Saptarshi Das ◽  
Amitava Gupta ◽  
Shantanu Das
Keyword(s):  
Frequency Domain ◽  
Fractional Order ◽  
Test Bench ◽  
Standard Test ◽  
Higher Order ◽  
Pid Controllers ◽  
Order Process ◽  
Controller Tuning ◽  
Process Dynamics ◽  
The Family

Generalization of the frequency domain robust tuning has been proposed in this paper for a family of fractional order (FO) PI/PID controllers. The controller tuning is enhanced with two new FO reduced parameter templates which are capable of capturing higher order process dynamics with much better accuracy. The paper validates the proposed methodology with a standard test-bench of higher order processes to show the relative merits of the family of FO controller structures.

Active Rejection of Harmonic Disturbances with Nonstationary Harmonically Related Frequencies Using Varying-Sampling-Time LPV Control

2016 ◽  
Vol 248 ◽  
pp. 19-26
Author(s):  
Xin Yu Shu ◽  
Pablo Ballesteros ◽  
Christian Bohn
Keyword(s):  
Vibration Control ◽  
Fundamental Frequency ◽  
Sampling Time ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Noise And Vibration ◽  
Active Noise ◽  
Lpv Control ◽  
Parameter Varying ◽  
Time Linear

This paper presents a method for the active noise and vibration control (ANC/AVC) of harmonically related nonstationary disturbances using varying-sampling-time linear parameter-varying (LPV) controller. The frequencies are assumed to be known and varying within given ranges and they are multiples of one fundamental frequency.

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