On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov's Inequality

De la Sen M.

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On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov's Inequality

机译：一类满足离散时间Popov不等式的线性时不变连续时间系统的渐近超稳定性。

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This paper is concerned with the property of asymptotic hyperstability of a continuous-time linear system under a class of continuous-time nonlinear and perhaps time-varying feedback controllers belonging to a certain class with two main characteristics; namely, (a) it satisfies discrete-type Popov's inequality at sampling instants and (b) the control law within the intersample period is generated based on its value at sampling instants beingmodulated by two designweighting auxiliary functions. The closed-loop continuous-time system is proved to be asymptotically hyperstable, under some explicit conditions on such weighting functions, provided that the discrete feed-forward transfer function is strictly positive real.

机译：本文涉及一类连续时间非线性且可能随时间变化的反馈控制器，该反馈控制器属于一类具有两个主要特征的连续时间线性系统的渐近超稳定性。即，（a）满足采样时刻的离散型Popov不等式；（b）采样间周期内的控制律是基于其在采样时刻由两个设计权重辅助函数调制的值生成的。在离散加权前馈传递函数严格为正实的条件下，证明在某些明确的加权函数条件下，闭环连续时间系统是渐近超稳定的。

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《Mathematical Problems in Engineering》 |2018年第6期|7861396.1-7861396.17|共17页
作者
De la Sen M.;
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Univ Basque Country, Fac Ciencia & Tecnol, Inst Res & Dev Proc IIDP, POB 644 Bilbao, Bilbao 48080, Bizkaia, Spain;

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1. On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov’s Inequality [J] . M. De la Sen Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第6期

机译：一类满足离散时间Popov不等式的线性时不变连续时间系统的渐近超稳定性。
2. On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov’s Inequality [J] . M. De la Sen Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第5期

机译：一类满足离散时间Popov不等式的线性时不变连续时间系统的渐近超稳定性。
3. About robust hyperstability and dissipativity of linear time-invariant dynamic systems subject to hyperstable controllers and unstructured delayed state and output disturbances [J] . M. De la Sen Cogent Engineering . 2018,第1期

机译：关于线性时不变动态系统的超稳定控制器和非结构化延迟状态及输出扰动的鲁棒超稳定性和耗散性
4. Model Reduction for Linear Time-Invariant Discrete-Time Systems Using Matrix Inequalities [C] . Yoshito Hirai, Yoshio Ebihara, Tomomichi Hagiwara システム制御情報学会研究発表講演会 . 2004

机译：使用矩阵不等式的线性时间不变离散系统的模型减少
5. Reduced-order controllers for nonlinear and discrete-time systems. [D] . Wu, Gang. 1997

机译：用于非线性和离散时间系统的降阶控制器。
6. On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models [O] . Manuel De la Sen 2019

机译：一类参数化非线性的超稳定反馈控制器的设计。控制流行病模型的两个应用示例
7. On H∞ model reduction for discrete-time linear time-invariant systems using linear matrix inequalities [O] . Ebihara Yoshio, Hirai Yoshito, Hagiwara Tomomichi 2008

机译：基于线性矩阵不等式的离散时间线性时不变系统的H∞模型约简

On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov's Inequality

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