Asynchronously finite-time H∞ control for morphing aircraft

2018 ◽  
Vol 40 (16) ◽  
pp. 4330-4344 ◽  
Author(s):  
Haoyu Cheng ◽  
Wenxing Fu ◽  
Chaoyang Dong ◽  
Qing Wang ◽  
Yanze Hou
Keyword(s):  
Finite Time ◽  
Controller Design ◽  
Average Dwell Time ◽  
Functional Method ◽  
Linear Matrix ◽  
Asynchronous Switching ◽  
Morphing Aircraft ◽  
Robust Stability Analysis ◽  
Average Dwell Time Method ◽  
Multiple Lyapunov Functional

This paper investigates the problem of asynchronously finite-time H∞ control for morphing aircraft with controller uncertainties. Based on the switched linear parameter-varying model of morphing aircraft, the inherent packet dropouts of system are taken into consideration, which will lead to asynchronous switching. The asynchronous switching means that the switching of controllers will lag behind the switching of corresponding subsystem. Moreover, in order to overcome the undesirable influence of controller uncertainties and guarantee that the corresponding closed-loop system is finite-time bounded with a specified H∞ performance index, the non-fragile finite-time H∞ controller is developed via asynchronously switched control. For the purpose of less conservative controller design, the finite-time robust stability analysis of the system is verified by combining mode-dependent average dwell time method and multiple Lyapunov functional method. The sufficient existing conditions and solutions of the controllers are found by solving a series of linear matrix inequalities. Finally, the method proposed in this paper is demonstrated by an illustrative numerical example.

scholarly journals Integrated Fault Detection and Fault Tolerant Control for Switched Systems with Asynchronous Switching

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Supeng Zhu ◽  
Haoyu Cheng ◽  
Wenxing Fu ◽  
Xiaohan Zhao ◽  
Wenyuan Li ◽  
...  
Keyword(s):  
Fault Detection ◽  
Switched Systems ◽  
Fault Tolerant ◽  
Average Dwell Time ◽  
Fault Tolerant Control ◽  
Functional Method ◽  
Linear Matrix ◽  
Asynchronous Switching ◽  
Finite Time Stability ◽  
Average Dwell Time Method

The problem of integrated fault detection and fault tolerant control for switched systems with asynchronous switching is focused on in this paper. Based on the switched model, the inherent asynchronous switching is taken into consideration. The asynchronous switching means that the switching of filters/controllers will always lag behind the switching of modes, which will degrade the performance of the closed-loop system. The Lyapunov functional method and mode-dependent average dwell time method are combined for the analysis of the finite-time stability of the switched system. The properties of each subsystem are taken into consideration, which are less conservative. To achieve optimal performance, the filters and controllers are designed simultaneously. The parameters of filters and controllers are given in the form of linear matrix inequalities. In the end, the numerical example is given to illustrate the effectiveness of the proposed method.

Finite-time stability and finite-time boundedness of fractional order switched systems

2019 ◽  
Vol 41 (12) ◽  
pp. 3364-3371 ◽  
Author(s):  
Jinxia Liang ◽  
Baowei Wu ◽  
Lili Liu ◽  
Yue-E Wang ◽  
Changtao Li
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Functional Method ◽  
Linear Matrix ◽  
Time Stability ◽  
Finite Time Stability ◽  
Finite Time Boundedness

Finite-time stability and finite-time boundedness of fractional order switched systems with [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.

scholarly journals Finite-Time Stability Analysis of Switched Genetic Regulatory Networks

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Lizi Yin
Keyword(s):  
Finite Time ◽  
Dwell Time ◽  
Regulatory Networks ◽  
Average Dwell Time ◽  
Genetic Regulatory Networks ◽  
Linear Matrix ◽  
Time Stability ◽  
Finite Time Stability ◽  
Average Dwell Time Method ◽  
First Time

This paper investigates the finite-time stability problem of switching genetic regulatory networks (GRNs) with interval time-varying delays and unbounded continuous distributed delays. Based on the piecewise Lyapunov-Krasovskii functional and the average dwell time method, some new finite-time stability criteria are obtained in the form of linear matrix inequalities (LMIs), which are easy to be confirmed by the Matlab toolbox. The finite-time stability is taken into account in switching genetic regulatory networks for the first time and the average dwell time of the switching signal is obtained. Two numerical examples are presented to illustrate the effectiveness of our results.

scholarly journals L∞Control with Finite-Time Stability for Switched Systems under Asynchronous Switching

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Ronghao Wang ◽  
Jianchun Xing ◽  
Ping Wang ◽  
Qiliang Yang ◽  
Zhengrong Xiang
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Controller Design ◽  
Average Dwell Time ◽  
Switched System ◽  
Asynchronous Switching ◽  
Time Stability ◽  
Switching Law ◽  
Finite Time Stability ◽  
Exogenous Disturbances

This paper is concerned with the problem of controller design for switched systems under asynchronous switching with exogenous disturbances. The attention is focused on designing the feedback controller that guarantees the finite-time bounded andL∞finite-time stability of the dynamic system. Firstly, when there exists asynchronous switching between the controller and the system, a sufficient condition for the existence of stabilizing switching law for the addressed switched system is derived. It is proved that the switched system is finite-time stabilizable under asynchronous switching satisfying the average dwell-time condition. Furthermore, the problem ofL∞control for switched systems under asynchronous switching is also investigated. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

scholarly journals An MDADT-Based Approach forL2-Gain Analysis of Discrete-Time Switched Delay Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Honglei Xu ◽  
Xiang Xie ◽  
Lilian Shi
Keyword(s):  
Discrete Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Functional Method ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Analysis Problem ◽  
Lyapunov Functional Method ◽  
Multiple Lyapunov Functional

We study theL2-gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze theL2-gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee theL2-gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results.

Finite-time boundedness and stabilization of switched nonlinear systems using auxiliary matrices and average dwell time method

2019 ◽  
Vol 42 (7) ◽  
pp. 1406-1416 ◽  
Author(s):  
Hadi Gholami ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Switched Nonlinear Systems ◽  
System Matrix ◽  
Lyapunov Matrix ◽  
Average Dwell Time Method ◽  
Finite Time Boundedness

This paper focuses on the finite-time boundedness of switched nonlinear systems based on the Finsler’s lemma, auxiliary matrices, and average dwell time method. The analysis is provided for a switched system with Lipschitz nonlinearities and in the presence of external disturbances. Moreover, a switching controller is designed based on linear matrix inequalities (LMIs), to make the closed-loop system finite-time bounded. Presented theorems in this paper are more general and have less conservatism than the existing methods due to using the auxiliary matrices that make the Lyapunov matrix separate from the system matrix in the resulting LMIs. Moreover, in all theorems, the average dwell time of the switching system has been evaluated. Three examples are given to illustrate the effectiveness of the proposed method and to show that it is less conservative compared with existing methods.

Finite-time asynchronous control of discrete-time switched linear systems with event-triggered H∞ filtering

2021 ◽  
pp. 014233122110579
Author(s):  
Ziyi He ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Mingfei He
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Design Method ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Functional Method ◽  
Switched System ◽  
Asynchronous Switching ◽  
Switching Signal ◽  
Event Triggered

In this paper, the event-triggered H∞ filtering problem for discrete-time linear switched systems is investigated under asynchronous switching. Under the mode-dependent event-triggered transmission mechanism (METM), the switching signal and filtering signal are combined into an augmented switching signal by merging signal technology, and the switched system and filtering system are modeled as a filtering error system (FES). Because the switching signal of the filtering system is determined by METM, there will be an asynchronous switching phenomenon between the switched system and filtering system. The novel sufficient conditions are given to ensure that the FES is finite-time bounded (FTB) and has a specified H∞ performance by the average dwell time (ADT) and multi-Lyapunov functional method. And based on this, the design method of the H∞ filter is given. Ultimately, the numerical examples are inspired to manifest the availability of the effects in the study.

scholarly journals An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Chuangxia Huang ◽  
Hanfeng Kuang ◽  
Xiaohong Chen ◽  
Fenghua Wen
Keyword(s):  
Neural Networks ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Cellular Neural Networks ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Ultimate Boundedness ◽  
Globally Exponential Stability ◽  
Average Dwell Time Method ◽  
Uniformly Ultimate Boundedness

This paper considers the dynamics of switched cellular neural networks (CNNs) with mixed delays. With the help of the Lyapnnov function combined with the average dwell time method and linear matrix inequalities (LMIs) technique, some novel sufficient conditions on the issue of the uniformly ultimate boundedness, the existence of an attractor, and the globally exponential stability for CNN are given. The provided conditions are expressed in terms of LMI, which can be easily checked by the effective LMI toolbox in Matlab in practice.

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

2021 ◽  
pp. 014233122110048
Author(s):  
Yilin Shang ◽  
Leipo Liu ◽  
Yifan Di ◽  
Zhumu Fu ◽  
Bo Fan
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Electrical Circuit ◽  
Linear Matrix ◽  
Current State ◽  
Guaranteed Cost ◽  
Event Triggered

This paper considers the problem of guaranteed cost and finite-time event-triggered control of fractional-order switched systems. Firstly, an event-triggered scheme including both the information of current state and an exponential decay function is proposed, and a novel cost function that adopts the characteristics of fractional-order integration is presented. Secondly, some sufficient conditions are derived to guarantee that the corresponding closed-loop system is finite-time stable with a certain cost upper bound, using multiple Lyapunov functions and average dwell time approach. Meanwhile, the event-triggered parameters and state feedback gains are simultaneously obtained via solving linear matrix inequalities. Moreover, Zeno behavior does not exist by finding a positive lower bound of the triggered interval. Finally, an example about fractional-order switched electrical circuit is provided to show the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document