This paper proposes an improved coefficient diagram method (CDM) for proportional integral derivative acceleration (PIDA) controller design. In the improved CDM, stability indices are obtained using a graphical approach based on the maximum sensitivity constraints. The stability indices play an important role in the designing of the controller and stability of the closed-loop control system. Further, the improved CDM is utilized to compute the analytical expressions for the coefficients gain of PIDA controller. From the application point of view, the proposed control approach is designed for load frequency control (LFC) of an isolated microgrid (IMG). In IMG, the generators cannot supply constant electrical power and sometimes cause an imbalance between power generation and demand. Thus, LFC scheme is applied to maintain the balance between power generation and demand. The effectiveness and robustness of proposed control approach are analyzed for IMG system under \(\pm 50\)% parametric uncertainty, random load demand, random solar and wind power deviation profile. The efficacy and performance of proposed control approach are examined in comparison with the published PID, 2DOF-PID and PIDA control schemes.

针对比例积分微分加速度（PIDA）控制器设计，本文提出了一种改进的系数图方法（CDM）。在改进的CDM中，使用基于最大灵敏度约束的图形方法获得稳定性指标。稳定性指标在控制器的设计和闭环控制系统的稳定性中起着重要作用。此外，改进的CDM用于计算PIDA控制器的系数增益的解析表达式。从应用的角度来看，所提出的控制方法是为隔离微电网（IMG）的负载频率控制（LFC）设计的。在IMG中，发电机无法提供恒定的电力，有时会导致发电量和需求量之间的不平衡。因此，LFC方案用于维持发电量和需求量之间的平衡。分析了IMG系统控制方法的有效性和鲁棒性。\（\ pm 50 \）％参数不确定性，随机负载需求，随机太阳能和风能偏差曲线。与公开的PID，2DOF-PID和PIDA控制方案相比，对所提出的控制方法的功效和性能进行了检查。