H∞ model matching problem for singularly perturbed systems

A Generalized KYP Lemma-Based Approach for H ∞ Control of Singularly Perturbed Systems

“…For the related problem formulation of the H ∞ model matching problem for SPS, see reference [17]. Here an example in [17] is adopted to compare our approach with the result in [17]. Example 2 [17] Consider the model matching when…”

“…Here an example in [17] is adopted to compare our approach with the result in [17]. Example 2 [17] Consider the model matching when…”

“…Applying the design method of our paper, we obtained the compensator: While using the algorithm in [17], the obtained suboptimal compensator is Q(s, ε) = − (s + 1)(7s − 5.5) 6(s + 2)(7s + 1) − εs + 1 3εs + 2 + 1 6…”

“…In this example, we will show that the algorithm in [17] is invalid for its additional assumptions, while the design procedure in our paper is still valid.…”

“…It's inferred from [17] that the inverse of T 2 (s, ε), say, T −1 2 (s, ε) must be a proper stable rational function; obviously, here, T 2 (s, ε) does not satisfy the condition. Hence the algorithm in [17] is invalid here; however, using the design procedure in this paper, a suboptimal compensator is obtained as Q(s, ε) = 0.4474 s + 1.79 + 1 εs + 6.284…”