Abstract This paper proposes fractional and integer order sliding mode controllers (SMC) for the high voltage (HV) bridge control in a bidirectional dual active (DAB) converter. The proposed controllers are derived based on nonlinear model of DAB converter and the closed loop stability is ensured using integer and fractional order Lyapunov theorems. Fractional order controllers offer more degree of freedom to adjust the desired response of the system, however the implementation issues of such controllers are rarely explored. Both variants of control schemes are implemented on a DSP control card, and hardware-in-the-loop (HIL) and processor-in-the-loop (PIL) experiments are conducted using rapid control prototyping technique. In order to choose the most suitable robust controller, experimental data for the two performance indices namely robustness and computational resources utilization is compared for both integer and fractional order control schemes. The experimental results demonstrate that the integer order SMC utilizes reduced computational resources as compared to the fractional order SMC. Moreover it is further verified that integer order SMC exhibits comparable robustness as fractional order SMC under all test conditions.

中文翻译：

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单相双有源电桥的计算高效鲁棒电压控制

摘要 本文提出了用于双向双有源 (DAB) 转换器中高压 (HV) 桥控制的分数阶和整数阶滑模控制器 (SMC)。所提出的控制器是基于 DAB 转换器的非线性模型推导出来的，并且使用整数阶和分数阶李雅普诺夫定理来确保闭环稳定性。分数阶控制器提供了更大的自由度来调整系统的所需响应，但是很少探讨此类控制器的实现问题。两种控制方案的变体都在 DSP 控制卡上实现，并且使用快速控制原型技术进行硬件在环 (HIL) 和处理器在环 (PIL) 实验。为了选择最合适的鲁棒控制器，对整数阶和分数阶控制方案的两个性能指标，即稳健性和计算资源利用率的实验数据进行了比较。实验结果表明，与分数阶 SMC 相比，整数阶 SMC 使用了减少的计算资源。此外，进一步验证了整数阶 SMC 在所有测试条件下表现出与分数阶 SMC 相当的鲁棒性。