A New Development of Internal Combustion Engine Air-Fuel Ratio Control With Second-Order Sliding Mode

2007 ◽  
Vol 129 (6) ◽  
pp. 757-766 ◽  
Author(s):  
Shiwei Wang ◽  
D. L. Yu
Keyword(s):  
Internal Combustion Engines ◽  
Sliding Mode ◽  
Combustion Engine ◽  
Radial Basis Function Network ◽  
Control Variable ◽  
Internal Combustion ◽  
Second Order ◽  
Lyapunov Theory ◽  
Fuel Ratio ◽  
Second Order Sliding Mode

A novel application of a second-order sliding mode control (SMC) scheme to the air-fuel ratio (AFR) control of automobile internal combustion engines is developed in this paper. In this scheme, the sliding surface S[x(t)] is steered to zero in finite time by using the discontinuous first-order derivative of a control variable u̇c(t), and the corresponding actual control variable uc(t) turns out to be continuous, which significantly reduces the undesired chattering. Its sliding gain is adjusted by a novel radial basis function network based adaptation method derived using the Lyapunov theory. It not only avoids handling the unavailable parameters and variables, but also saves the unnecessary manual adjusting time of the second-order SMC. The proposed method is applied to a widely used engine benchmark, the mean value engine model for evaluation. The simulation results show substantially improved AFR control performance compared with the conventional SMC.

A novel second-order sliding mode control based on the Lyapunov method

2018 ◽  
Vol 41 (4) ◽  
pp. 1068-1078 ◽  
Author(s):  
Lu Liu ◽  
Shihong Ding ◽  
Li Ma ◽  
Haibin Sun
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Disturbance Observer ◽  
Control Method ◽  
Sliding Mode ◽  
Second Order ◽  
Lyapunov Theory ◽  
Mode Control ◽  
Mismatched Disturbance ◽  
Second Order Sliding Mode

In this paper, a novel discontinuous second-order sliding mode control approach has been developed to handle sliding mode dynamics with a nonvanishing mismatched disturbance by using Lyapunov theory and a finite-time disturbance observer. Firstly, the finite-time disturbance observer is designed to estimate the nonvanishing mismatched disturbance. Secondly, a virtual controller has been constructed based on the estimated value such that the sliding variable can be stabilized to zero in a finite time. Then, the real discontinuous controller is designed to guarantee that the virtual controller can be well tracked in a finite time. Lyapunov analysis also verifies the finite-time stability of the closed-loop sliding mode control system. The developed discontinuous second-order sliding mode control method possesses two appealing features including strong robustness with respect to the matched and mismatched nonvanishing disturbances, and relaxation on the constant upper bound of uncertainties widely used in a conventional second-order sliding mode. Finally, an academic example is illustrated to verify the effectiveness of the proposed method.

scholarly journals Load Frequency Regulator in Interconnected Power System Using Second-Order Sliding Mode Control Combined with State Estimator

Energies ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 863
Author(s):  
Anh-Tuan Tran ◽  
Bui Le Ngoc Minh ◽  
Van Van Huynh ◽  
Phong Thanh Tran ◽  
Emmanuel Nduka Amaefule ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Second Order ◽  
Lyapunov Theory ◽  
Experimental Simulation ◽  
State Variables ◽  
Mode Control ◽  
Load Frequency ◽  
System States ◽  
Second Order Sliding Mode

In multi-area interconnected power systems (MAIPS), the measurement of all system states is difficult due to the lack of a sensor or the fact that it is expensive to measure. In order to solve this limitation, a new load frequency controller based on the second-order sliding mode is designed for MAIPS where the estimated state variable is used fully in the sliding surface and controller. Firstly, a model of MAIPS integrated with disturbance is introduced. Secondly, an observer has been designed and used to estimate the unmeasured variables with disturbance. Thirdly, a new second-order sliding mode control (SOSMC) law is used to reduce the chattering in the system dynamics where slide surface and sliding mode controller are designed based on system states observer. The stability of the whole system is guaranteed via the Lyapunov theory. Even though state variables are not measured, the experimental simulation results show that the frequency remains in the nominal range under load disturbances, matched and mismatched uncertainties of the MAIPS. A comparison to other controllers illustrates the superiority of the highlighted controller designed in this paper.

scholarly journals Fuzzy Second-Order Sliding Mode Control Design for a Two-Cell DC-DC Converter

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Hanene Medhaffar ◽  
Nabil Derbel
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Discrete Systems ◽  
Second Order ◽  
Lyapunov Theory ◽  
Sliding Mode Controller ◽  
Controlled System ◽  
Mode Control ◽  
Second Order Sliding Mode

This paper presents a fuzzy second-order sliding mode controller for a two-cell DC-DC converter. For this aim, a second-order sliding mode controller and a type-2 fuzzy system are combined to achieve an adequate control. For this reason, backgrounds on the type-2 fuzzy sets and on the second-order sliding mode control applied to discrete systems have been presented briefly. A proposed control algorithm is then presented combining these two robust approaches. The asymptotic stability of the overall controlled system has been ensured using the Lyapunov theory. The efficiency and the robustness of the proposed controller have been tested by simulations.

scholarly journals Global Finite-Time Set Stabilization of Spacecraft Attitude with Disturbances using Second-Order Sliding Mode Control

2021 ◽  
Author(s):  
Zeyu Guo ◽  
Zuo Wang ◽  
Shihua Li
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Tracking Error ◽  
Second Order ◽  
Lyapunov Theory ◽  
Sliding Mode Controller ◽  
Attitude Stabilization ◽  
Stabilization Control ◽  
Set Stabilization ◽  
Second Order Sliding Mode

Abstract The performance of attitude stabilization control algorithms for rigid spacecraft can be limited by disturbances. In this paper, the global finite-time attitude stabilization problem with disturbances is investigated and handled by constructing a second-order sliding mode controller. Firstly, a virtual controller based on set stabilization idea is constructed to globally finite-time stabilize the system. Then, a relay polynomial second-order sliding mode controller is constructed to guarantee that the tracking error towards the virtual controller will converge to zero in finite-time. Finite-time Lyapunov theory is applied to support the proof and stability analysis. The global finite-time stability holds even with bounded disturbances. The effectiveness and feasibility of the controller are illustrated by the numerical simulations.

Optimal LQ Transient Air-to-Fuel Ratio Control of an Internal Combustion Engine

2011 ◽  
Author(s):  
Stephen Pace ◽  
Guoming G. Zhu
Keyword(s):  
Internal Combustion Engines ◽  
Inverse Dynamics ◽  
Combustion Engine ◽  
Internal Combustion ◽  
Time Interval ◽  
Fuel Injector ◽  
Linear Quadratic ◽  
Fuel Ratio ◽  
Tracking Controller ◽  
Wetting Dynamics

Most modern spark ignited (SI) internal combustion engines maintain their air-to-fuel ratio (AFR) at a desired level to maximize the three-way catalyst conversion efficiency and to extend its life. However, maintaining the engine AFR during its transient operation is quite challenging due to rapid changes of driver demands. Conventional transient AFR control is based upon the inverse dynamics of the engine port-fuel-injection well-wetting dynamics and the measured mass air flow rate. This paper develops a dynamic linear quadratic (LQ) tracking controller to regulate the AFR using a control oriented model of the wall wetting dynamics of a port fuel injector (PFI) and estimated transport delays of the airflow travel and throttle dynamics. The LQ tracking controller is designed to optimally track the measured airflow through the throttle during engine transients over a given time interval. The performance of the optimal LQ tracking controller was compared with the conventional inverse fueling dynamics through simulations and showed improvement over the baseline controller.

scholarly journals Speed Tracking and Synchronization of a Dual-Motor System via Second Order Sliding Mode Control

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Wei Chen ◽  
Yifei Wu ◽  
Renhui Du ◽  
Qingwei Chen ◽  
Xiaobei Wu
Keyword(s):  
Sliding Mode Control ◽  
System Parameter ◽  
Sliding Mode ◽  
Second Order ◽  
Lyapunov Theory ◽  
Motor Systems ◽  
Load Torque ◽  
Mode Control ◽  
Speed Tracking ◽  
Second Order Sliding Mode

Dual-motor systems have been widely used in industrial applications, and speed synchronization of the motors can always be deteriorated by system parameter uncertainties and load torque perturbations. In this paper, a new robust control strategy for the dual-motor systems is developed by incorporating second order sliding mode control (2-SMC) techniques. The strategy is to design chatting-free control laws to stabilize speed tracking of each motor while synchronizing their velocity. In the proposed scheme, firstly, speed controller for a single motor is designed to eliminate the effects of system parameter variations and load torque perturbations. Secondly, a cross-coupled architecture based synchronous controller is designed to reduce speed error of the motors caused by characteristic inconsistency and unbalanced load torque. Stability of the closed loop system is analyzed by Lyapunov theory; it is proven that both speed tracking errors and synchronous error can converge to zero. Finally, experiments are performed to examine the effectiveness of the developed controllers. Experimental results will show the good performance of the proposed control scheme.

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