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Cited by 270 publications
(96 citation statements)
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“…In addition, two parameters Φ 1 and Φ 2 used in Theorem 7 instead of the role of eigenvalues of in [25] and the condition like (25) in Corollary 8 are not needed, which help find more relaxed solutions for the range of ( ) in our proposed method. Moreover, small-gain theorem in [9] is proposed to ensure the resulting closed-loop system to be bounded, but our method employs SOS approach to ensure the range of ( ).…”
Section: Remarkmentioning
confidence: 99%
See 1 more Smart Citation
“…In addition, two parameters Φ 1 and Φ 2 used in Theorem 7 instead of the role of eigenvalues of in [25] and the condition like (25) in Corollary 8 are not needed, which help find more relaxed solutions for the range of ( ) in our proposed method. Moreover, small-gain theorem in [9] is proposed to ensure the resulting closed-loop system to be bounded, but our method employs SOS approach to ensure the range of ( ).…”
Section: Remarkmentioning
confidence: 99%
“…Very recently, Choi et al [8] put forward a new method to formulate a framework that can describe T-S fuzzy systems with time-varying input delay and output constraints based on ( , , ) − -dissipativity, which not only synthesized ∞ control and passivity control, but also applied the obtained results to different road conditions. In the field of the fuzzy controller design, the authors in [9] considered input saturation of the nonlinear systems and employed a variables separation approach and the smallgain approach to design an adaptive back-stepping fuzzy controller, which provided more extensive applications in practice.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, some work [30]- [34] have extended the T-S fuzzy model to polynomial fuzzy model whose sub-systems are represented by polynomial variables. Compared with T-S fuzzy model, the polynomial fuzzy model possesses the capability of describing a wider class of nonlinear systems, because sub-systems are able to contain an enormous amount of information compared with those of T-S fuzzy model.…”
Section: Introductionmentioning
confidence: 99%
“…For example, in [4], the authors study fuzzy control of nonlinear systems with unmodeled dynamics and input saturation using small-gain approach. And adaptive control for stochastic switched nonlinear triangular system is investigated in [5], different from the approaches investigated in [4,5].…”
Section: Introductionmentioning
confidence: 99%
“…For example, in [4], the authors study fuzzy control of nonlinear systems with unmodeled dynamics and input saturation using small-gain approach. And adaptive control for stochastic switched nonlinear triangular system is investigated in [5], different from the approaches investigated in [4,5]. The approach is to linearize the system by using standard linear estimation techniques at some operating points [6,7], within a neighborhood which can accurately describe the nonlinear system behavior, and a wealth of linearization-based design techniques can be applied to achieve the control objective [7].…”
Section: Introductionmentioning
confidence: 99%