System Simplification Using Pole Spectrum Analysis (PSA) with the Advantage of Dominant Pole Retention

Dynamic Boundary Conditions based Optimization Approach for Efficient Model Order Reduction of Complex Systems

“…The dc gain of the model obtained by the proposed method is exactly the same as that of the original system, which is attributed to the post optimization gain adjustment factor employed in the proposed methodology. The difference in the peak and peak-time values of the proposed model is also less than that of Sengar et al (2022). Furthermore, high values of the gain margin and phase demonstrate that the stability of the proposed model is similar to that of the original system.…”

“…In Neiner et al (1971), the dynamics of a supersonic inlet were studied, and a mathematical model was presented. The model was later analysed for order reduction by Lalonde et al (1993), Azou et al (2000, Telescu et al (2013) and recently by Sengar et al (2022). The 7 th order discrete-time model is first transformed to a continuous time system using a sampling time of Ts = 0.01 seconds.…”

“…Using 𝜀 = 0.5, the lower and upper bounds are obtained as 𝐿 = [𝐿 𝑛2 𝐿 𝑛1 𝐿 𝑛0 𝐿 𝑑3 𝐿 𝑑2 𝐿 𝑑1 𝐿 𝑑0 ] = [12.8057 38.1233 188.7358 0.5000 3.7843 44.6133 54.7401] Similarly, 𝑈 = [𝑈 𝑛2 𝑈 𝑛1 𝑈 𝑛0 𝑈 𝑑3 𝑈 𝑑2 𝑈 𝑑1 𝑈 𝑑0 ] = [38.4170 114.3699 566.2075 1.5000 11.3530 133.8399 164.2203] Using a simulation time of 5 seconds, a sampling time = 0.01; maximum number of iterations = 100; the overall execution time of the software to compute a 3 rd order reduced system is 14.03 seconds. The 3 rd order reduced system obtained by the proposed methodology is given in Table 5 along with the model deduced by Sengar et al (2022). It is evident that that the error performance of the proposed methodology is significantly better than that of Sengar et al (2022).…”

“…The 3 rd order reduced system obtained by the proposed methodology is given in Table 5 along with the model deduced by Sengar et al (2022). It is evident that that the error performance of the proposed methodology is significantly better than that of Sengar et al (2022).…”

“…Furthermore, the time-domain and frequency-domain specifications of the original system, proposed method, and reduced model given by Sengar et al (2022) are compared in Table 6. It is evident that the rise time of the proposed reduced-order system closely approximates that of the original system, where the system of Sengar et al (2022) shows a fast rise-time, thus giving rise to a finite overshoot value.…”