DC-DC变换器分段线性系统的最小投影法切换律

Min-projection-strategy switching rules for DC-DC converters modeled as piecewise linear systems

采用分段线性系统分析方法,DC-DC变换器的稳定性研究和控制器设计变得十分简单和有效.本文首先基于分段线性系统的稳定性原理,建立实现系统全局稳定的最小投影法切换律.其次提出基于最小投影法的收敛率分析方法,揭示了分段线性系统在整个状态邻域收敛率快慢的本质,为改善最小投影法切换律的收敛率提供理论依据.最后以Boost DC-DC变换器为例说明以上理论研究的正确性,并以实验验证最小投影法切换律在DC-DC变换器实际应用中的可行性.

Stability and control of DC-DC converters are handled easily and efficiently by utilizing piecewise linear system analysis approach. Applying the stability theorem of piecewise linear systems, we establish the min-projection- strategy switching rules for realizing the global stability of the system. The method for analyzing the convergence-rate based on the min-projection strategy is then proposed. This analysis reveals the nature of the convergence-rate of piecewise linear systems in the entire state-range, and supplies theoretical basis for improving the convergence-rate of the min-projection- strategy switching rules. Finally, the Boost DC-DC converter is selected as an example for verifying the above theory. Experimental results from this DC-DC converter demonstrate the feasibility of the min-projection-strategy switching rules.