scholarly journals A Multi-Index Feedback Linearization Control for a Buck-Boost Converter

Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1496
Author(s):  
Xiaocong Li ◽  
Xin Chen

Due to the nonlinear and nonminimum phase characteristics of the buck-boost converter, the design of its controller has always been a challenging problem. In this paper, a multi-index feedback linearization control strategy is proposed to design the controller of the buck-boost converter. Firstly, by constructing an appropriate output function, the original nonlinear system is mapped into a combination of a linear subsystem and a nonlinear subsystem. Then, according to the structural characteristics of these two subsystems, the linear optimal control theory is adopted for the control design of the linear subsystem to make it have a good output performance, while for the nonlinear subsystem, the coefficient of the output function is adjusted to ensure its stability. Finally, based on the Hartman–Grobman theorem, the internal mechanism and coefficient adjustment basis of the proposed method are revealed; that is, by adjusting the coefficient of the output function and the feedback coefficient of the linear control law, the poles of the system are configured to achieve the purpose of adjusting the static and dynamic performance of the system. The simulation results show the feasibility and superiority of using the multi-index feedback linearization control strategy to design the nonlinear control law of the buck-boost converter.

2014 ◽  
Vol 14 (3) ◽  
pp. 96-109 ◽  
Author(s):  
Faculty of Automatics, Technical Un Enev

Abstract In this paper, two feedback linearizing control laws for the stabilization of the Inertia Wheel Pendulum are derived: a full-state linearizing controller, generalizing the existing results in literature, with friction ignored in the description and an inputoutput linearizing control law, based on a physically motivated definition of the system output. Experiments are carried out on a laboratory test bed with significant friction in order to test and verify the suggested performance and the results are presented and discussed. The main point to be made as a consequence of the experimental evaluation is the fact that actually the asymptotic stabilization was not achieved, but rather a limit cycling behavior was observed for the full-state linearizing controller. The input-output linearizing controller was able to drive the pendulum to the origin, with the wheel speed settling at a finite value


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
P. Ahmadi ◽  
M. Golestani ◽  
S. Nasrollahi ◽  
A. R. Vali

A combination of two nonlinear control techniques, fractional order sliding mode and feedback linearization control methods, is applied to 3-DOF helicopter model. Increasing of the convergence rate is obtained by using proposed controller without increasing control effort. Because the proposed control law is robust against disturbance, so we only use the upper bound information of disturbance and estimation or measurement of the disturbance is not required. The performance of the proposed control scheme is compared with integer order sliding mode controller and results are justified by the simulation.


2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Xiang Lu ◽  
Yunxiang Xie ◽  
Li Chen

Aiming at the nonlinear characteristics of VIENNA rectifier and using differential geometry theory, a dual closed-loop control strategy is proposed, that is, outer voltage loop using sliding mode control strategy and inner current loop using feedback linearization control strategy. On the basis of establishing the nonlinear mathematical model of VIENNA rectifier ind-qsynchronous rotating coordinate system, an affine nonlinear model of VIENNA rectifier is established. The theory of feedback linearization is utilized to linearize the inner current loop so as to realize thed-qaxis variable decoupling. The control law of outer voltage loop is deduced by utilizing sliding mode control and index reaching law. In order to verify the feasibility of the proposed control strategy, simulation model is built in simulation platform of Matlab/Simulink. Simulation results verify the validity of the proposed control strategy, and the controller has a strong robustness in the case of parameter variations or load disturbances.


Energies ◽  
2020 ◽  
Vol 13 (21) ◽  
pp. 5731
Author(s):  
Anxing Liu ◽  
Haisheng Yu

To solve the contradiction between dynamic performance and steady-state performance of the robot system, a smooth-switching control strategy is proposed. By combining robot and motor model, the complete model of the robot driving system is established. The single-loop Feedback Linearization (FL) controller and Port-Controlled Hamiltonian (PCH) controller based on the complete model are derived to ensure the rapidity and stability of the system respectively. A smooth-switching function based on position error is designed. It can ensure the smooth-switching between two controllers and avoid the instability caused by switch-switching. The proposed algorithm can make the robot system have good dynamic and steady performance. Simulation and experiment results demonstrate the effectiveness of the smooth-switch control strategy.


2012 ◽  
Vol 466-467 ◽  
pp. 587-591
Author(s):  
Ming Zhu ◽  
Yong Mei Wu ◽  
Ze Wei Zheng

An optimal control is presented in this paper. First, nonlinear dynamic model of a six degree of freedom stratospheric airship, traditional and full-actuated, is built based on generalized coordinate frame. Second, optimal control law is determined by Hamilton function and performance index function. This optimal control can be regarded as extension of feedback linearization control law.


2011 ◽  
Vol 7 (1) ◽  
pp. 19-24
Author(s):  
Aamir Ahmed ◽  
Martino Ajangnay ◽  
Shamboul Mohamed ◽  
Matthew Dunnigan

Induction Motor (IM) speed control is an area of research that has been in prominence for some time now. In this paper, a nonlinear controller is presented for IM drives. The nonlinear controller is designed based on input-output feedback linearization control technique, combined with sliding mode control (SMC) to obtain a robust, fast and precise control of IM speed. The input-output feedback linearization control decouples the flux control from the speed control and makes the synthesis of linear controllers possible. To validate the performances of the proposed control scheme, we provided a series of simulation results and a comparative study between the performances of the proposed control strategy and those of the feedback linearization control (FLC) schemes. Simulation results show that the proposed control strategy scheme shows better performance than the FLC strategy in the face of system parameters variation.


Author(s):  
Mohammad Imran Azim ◽  
Jahangir Hossain ◽  
Hemanshu Pota

Abstract This paper proposes a new type of generalized droop-based proportional power sharing scheme during load change for parallel inverter-interfaced islanded microgrids, which is an automatic strategy and is independent of any particular nature of transmission lines, i.e., resistive or inductive. Real and reactive powers are shared in proportion to the droop gains by implementing the voltage control law proposed in this paper; in which the inverter-interfaced voltage-sources are kept at equal reference values. The control gains are chosen based on eigenvalue analysis in a way that the system stability is ascertained. The performance of the designed controller is simulated under different microgrid structures such as load variation and various types of transmission lines; in which the results show superior dynamic performance in comparison to the conventional droop-based control strategy.


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