改进指数趋近律的滑模控制具有快速响应、鲁棒性强及自适应性强等特点，在H桥逆变器的控制中有广泛的应用前景。然而，滑模控制是一种非线性控制方式，必然表现出丰富的非线性动力学行为，系统的工作稳定性与电路及控制参数的选取有密切的关联。因此，以改进指数趋近律滑模控制的H桥逆变器为研究对象。分析该系统的工作过程，运用频闪映射理论推导系统的离散模型；采用分岔图观察在不同控制参数k1和k2的作用下系统非线性动力学行为的演化过程，并通过折叠图进行一一验证；利用快变稳定性定理对系统工作稳定性进行理论分析，研究的结论与分岔图及折叠图的分析完全一致；研究表明输入电压E、负载电阻R与电感L等外部电路参数的变化，对系统非线性动力学行为产生重要的影响。因此，研究结论为改进指数趋近律滑模控制H桥逆变器的研发、制造和调试提供可靠的理论依据，具有一定的理论意义和实际工程价值。
Abstract
Sliding mode control based on improved exponential approach law has characteristics of fast response, strong robustness and strong adaptability, and a wide application prospect in H-bridge inverter control.However, the sliding mode control is a kind of nonlinear control mode, and inevitably exhibits abundant nonlinear dynamic behavior.The stability of the system is closely related to the selection of circuit and control parameters.Here, H-bridge inverter with sliding mode control based on improved exponential approach law was taken as the study object.Firstly, the working process of the system was analyzed, and the discretized model of the system was derived by using the stroboscopic mapping theory.Secondly, the bifurcation diagram was used to observe the evolution process of the system nonlinear dynamic behavior under the action of different control parameters, and the folding chart was used to do verifications one by one.Thirdly, the fast-varying stability theorem was used to analyze the stability of the system, and the study conclusion is completely consistent with that drawn by bifurcation diagram and folding chart analyses.Finally, the study showed that changes of external circuit parameters, such as, input voltage, load resistance and inductance have important effects on the system nonlinear dynamic behavior; the study results can provide a reliable theoretical basis for development, manufacturing and adjusting of H-bridge inverter with sliding mode control based on improved exponential approach law, and have certain theoretical significance and practical engineering value.
关键词
H桥逆变器 /
滑模控制 /
改进指数趋近律 /
非线性
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Key words
H-bridge inverter /
sliding mode /
improved exponential approach law /
nonlinear
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