On regularizing singular systems by decentralized output feedback

Optimal fuzzy control system using the cross-entropy method. A case study of a drilling process

“…Although fuzzy control was initially introduced as a model-free control design method based on the knowledge of a human operator, current research is almost exclusively devoted to model-based fuzzy control methods that can guarantee stability and robustness of the closed-loop system [44]. Several works highlight the need for developing methods that ensure the global stability of the fuzzy control system in the design phase [37,48]. The stability analysis of a fuzzy control system has some constraints in any optimisation problem because scaling factors can dramatically influence the dynamics of the overall closed-loop system.…”

Robust H∞ Filtering of Delayed Singular Systems with Linear Fractional Parametric Uncertainties

“…LMI-based design approaches are developed for H ∞ control design of singular systems in [12] and [23]. Some results on decentralized control of singular systems have been reported in [1], [16], and [17]. Time-delays are often encountered in many engineering systems such as biological systems, chemical processes, and metallurgical processing systems [9].…”

Generalized regularity and regularizability of rectangular descriptor systems

“…Proof When the matrices A 0 , B 0 , C 0 and K 0 are real matrices, the above results are proven in [15]. Note that since this procedure of the proof is not dependent on whether A 0 , B 0 , C 0 and K 0 are real or complex matrices, we can easily obtain Lemma 1 by taking the similar proof procedure in [15].…”

“…Note that since this procedure of the proof is not dependent on whether A 0 , B 0 , C 0 and K 0 are real or complex matrices, we can easily obtain Lemma 1 by taking the similar proof procedure in [15]. (1) is generalized regularizable via an output plus partial state derivative feedback if and only if…”