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Continuous nonsingular terminal sliding mode control method based on Buck converter

A technology of non-singular terminal and control method, which is applied in the field of continuous non-singular terminal sliding mode control based on Buck converter, and can solve problems such as low voltage response speed and poor steady state

Inactive Publication Date: 2015-12-23
HARBIN INST OF TECH
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AI Technical Summary

Problems solved by technology

[0004] In order to solve the problem of low response speed and poor steady state of the existing sliding mode control method to the voltage output by the converter, and then based on the average state model of the Buck converter, a continuous non-singular terminal sliding mode control method is designed, the technical solution as follows:

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  • Continuous nonsingular terminal sliding mode control method based on Buck converter
  • Continuous nonsingular terminal sliding mode control method based on Buck converter
  • Continuous nonsingular terminal sliding mode control method based on Buck converter

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specific Embodiment approach 1

[0065] Specific embodiment one: the continuous non-singular terminal sliding mode control method of the Buck converter of the present embodiment comprises the following steps:

[0066] Step 1. Establish the average state model of the Buck converter

[0067] According to the circuit principle of the converter as figure 1 , taking the average value of the input voltage V of the Buck converter i is the control law u, then the mathematical model of the Buck converter is

[0068]

[0069] Among them, X 1 is the average value of the inductor current in one cycle, is the first-order derivative of the average value of the inductor current in one cycle, X 2 is the average value of the output voltage in one cycle, is the first-order derivative of the average value of the output voltage in one cycle, L is the filter inductance, C is the filter capacitor, R is the load resistance, d is the duty cycle of the controllable switch tube V, and u is the control law;

[0070] assuming...

specific Embodiment approach 2

[0099] Specific embodiment two: the difference between this embodiment and specific embodiment one is: the method for the design of the continuous non-singular terminal sliding mode controller is based on the average state model of the Buck converter, and the formula (6) in the step one The specific process of establishing the average state model of the Buck converter is as follows:

[0100] (1) When the controllable switch tube V is turned on, that is, m=1, the freewheeling diode VD is cut off under reverse bias, and the input DC power V i Connected in series with the inductance L, this is the stage of energy storage

[0101] Based on Kirchhoff's voltage and current laws, the differential equation of the Buck converter when it is turned on is obtained as

[0102]

[0103] where V i is the input DC voltage source, V is the controllable switch tube, m represents the working state, V 0 is the output voltage, VD is the freewheeling diode, L is the filter inductance, C is th...

specific Embodiment approach 3

[0113] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is: the method for the design of the continuous non-singular terminal sliding mode controller is based on the average state model of the Buck converter, and the step two is to stabilize calculate:

[0114] Substitute the average state model of the Buck converter in formula (6) into the sliding mode arrival condition that is

[0115]

[0116] Substitute (9)-(14) into the above formula

[0117]

[0118] in, is the first derivative of the equivalent control law, is the second-order derivative of the value of the inductor current when the output DC voltage reaches the desired value, β is a parameter and β>0; p, q are parameters, and p>q>0, 1 hour, Constantly holds, when the system does not reach the sliding surface s n = 0, the sliding mode reaches the condition is always true, the system will converge to the sliding surface s in finite time n =0, the induc...

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Abstract

The invention relates to a continuous nonsingular terminal sliding mode control method based on a Buck converter, relates to the field of electric and electronic control, and brings forward a continuous nonsingular terminal sliding mode control method based on a Buck converter, for solving the problems of low voltage response speed for converter output and poor stable state by use of a conventional sliding mode control method. According to the circuit principle of the Buck converter, an average state model of the Buck converter is established, the continuous nonsingular terminal sliding mode control method is introduced, global finite-time control of continuous nonsingular terminal sliding mode control is combined with a anti-vibration principle of a high-order sliding mode, through improving the relative order of a Buck converter control system, influences exerted by high-vibration signals on the quality of output voltage of the Buck converter are eliminated, and finite-time convergence of a system state is guaranteed. The method provided by the invention is applied to electric and electronic control.

Description

technical field [0001] The invention relates to the field of power electronic control, in particular to a continuous non-singular terminal sliding mode control method based on a Buck converter. Background technique [0002] At present, in the actual DC converter control system, the traditional first-order sliding mode control method is the main method. For the traditional first-order sliding mode control method, because the output control law directly includes high-frequency switching control items, the system is in the sliding state. Crossing back and forth on both sides of the die surface to maintain the robustness of the system, and accompanied by the induction of high-frequency chattering problems, will inevitably reduce the control accuracy of the DC converter, and the output voltage will become harmonic, resulting in high switching loss, electromagnetic interference and many other problems , and even cause the system to oscillate or become unstable, seriously degrading...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H02M3/10
Inventor 王艳敏孙兰昕曹雨晴夏红伟
Owner HARBIN INST OF TECH
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