Robust servomechanism with preview action for polytopic uncertain systems

H∞ Preview Control of A Class of Uncertain Discrete‐Time Systems

“…Based on the key ideas above, the design method of the robust preview controller is presented. Our results extend some recent results of references .…”

“…In this manner, the augmented error is simple and easy to handle. And the results of can be generalized into a class of systems with general uncertainties. The method used to study the robust preview control by using the LMI technique in this paper can be extended completely to other time‐invariant or time‐varying systems for preview control.…”

H∞ Preview Control of A Class of Uncertain Discrete‐Time Systems

“…Based on the key ideas above, the design method of the robust preview controller is presented. Our results extend some recent results of references .…”

“…In this manner, the augmented error is simple and easy to handle. And the results of can be generalized into a class of systems with general uncertainties. The method used to study the robust preview control by using the LMI technique in this paper can be extended completely to other time‐invariant or time‐varying systems for preview control.…”

Robust preview control for polytopic nonlinear control systems

“…The numerical simulation examples also illustrate the effectiveness of the controller in this paper. The first contribution of this paper is a systematic and generalist modeling of polytopic systems comparing with Lan et al (2019), Li and Liao (2017), and Takaba (2000). The second main contribution of the paper is two kinds of preview controller design methodologies have presented for nonlinear discrete systems.…”

Design of a robust H ∞ preview controller for a class of uncertain discrete-time systems

“…Compared with the existing results, the basic ideas of our design method were not utilized in Gershon and Shaked (2014), Kojima (2014), Moelja and Meinsma (2006), Tamaddoni et al (2011), Takaba (2003), Wang et al (2014), Zhang et al (2013), and the preview control problems of time-invariant systems were studied without considering the robustness (Cao and Liao, 2015; Li and Liao, 2015; Salton et al, 2016; Zhang et al, 2015; Zhao et al, 2016). Moreover, the difference methods in Birla and Swarup (2014), Cheng et al (2014), Liao et al (2003), Li and Liao (2017), Oya et al (2007), Ryu et al (2008), Takaba (2000), Zhu et al (2015) cannot be extended to this paper because the uncertain matrices are time-varying and unknown.…”

H∞ Preview Control of A Class of Uncertain Discrete‐Time Systems

“…Based on the key ideas above, the design method of the robust preview controller is presented. Our results extend some recent results of references .…”

“…In this manner, the augmented error is simple and easy to handle. And the results of can be generalized into a class of systems with general uncertainties. The method used to study the robust preview control by using the LMI technique in this paper can be extended completely to other time‐invariant or time‐varying systems for preview control.…”

Robust preview control for polytopic nonlinear control systems

“…The numerical simulation examples also illustrate the effectiveness of the controller in this paper. The first contribution of this paper is a systematic and generalist modeling of polytopic systems comparing with Lan et al (2019), Li and Liao (2017), and Takaba (2000). The second main contribution of the paper is two kinds of preview controller design methodologies have presented for nonlinear discrete systems.…”

Design of a robust H ∞ preview controller for a class of uncertain discrete-time systems

“…Compared with the existing results, the basic ideas of our design method were not utilized in Gershon and Shaked (2014), Kojima (2014), Moelja and Meinsma (2006), Tamaddoni et al (2011), Takaba (2003), Wang et al (2014), Zhang et al (2013), and the preview control problems of time-invariant systems were studied without considering the robustness (Cao and Liao, 2015; Li and Liao, 2015; Salton et al, 2016; Zhang et al, 2015; Zhao et al, 2016). Moreover, the difference methods in Birla and Swarup (2014), Cheng et al (2014), Liao et al (2003), Li and Liao (2017), Oya et al (2007), Ryu et al (2008), Takaba (2000), Zhu et al (2015) cannot be extended to this paper because the uncertain matrices are time-varying and unknown.…”

H∞ Preview Control of A Class of Uncertain Discrete‐Time Systems

“…Based on the key ideas above, the design method of the robust preview controller is presented. Our results extend some recent results of references .…”

“…In this manner, the augmented error is simple and easy to handle. And the results of can be generalized into a class of systems with general uncertainties. The method used to study the robust preview control by using the LMI technique in this paper can be extended completely to other time‐invariant or time‐varying systems for preview control.…”

Robust preview control for polytopic nonlinear control systems

“…The numerical simulation examples also illustrate the effectiveness of the controller in this paper. The first contribution of this paper is a systematic and generalist modeling of polytopic systems comparing with Lan et al (2019), Li and Liao (2017), and Takaba (2000). The second main contribution of the paper is two kinds of preview controller design methodologies have presented for nonlinear discrete systems.…”

Design of a robust H ∞ preview controller for a class of uncertain discrete-time systems

“…Compared with the existing results, the basic ideas of our design method were not utilized in Gershon and Shaked (2014), Kojima (2014), Moelja and Meinsma (2006), Tamaddoni et al (2011), Takaba (2003), Wang et al (2014), Zhang et al (2013), and the preview control problems of time-invariant systems were studied without considering the robustness (Cao and Liao, 2015; Li and Liao, 2015; Salton et al, 2016; Zhang et al, 2015; Zhao et al, 2016). Moreover, the difference methods in Birla and Swarup (2014), Cheng et al (2014), Liao et al (2003), Li and Liao (2017), Oya et al (2007), Ryu et al (2008), Takaba (2000), Zhu et al (2015) cannot be extended to this paper because the uncertain matrices are time-varying and unknown.…”