Observer-based event-triggered H∞ control for asynchronous switched delay systems

2020 ◽  
Vol 42 (12) ◽  
pp. 2254-2261
Author(s):  
Yang Yang ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Economic Losses ◽  
System State ◽  
Closed Loop System ◽  
Lyapunov Function Method ◽  
Signal Method ◽  
Event Triggered

In this paper, the [Formula: see text] performance of observer-based asynchronous linear switched delay systems with an event-triggered sampling scheme is considered. Firstly, owing to the system state cannot be measured completely in practice, a state feedback observer is used to reconstruct the system state. Next, we design an event-triggered sampling mechanism, under which the sample of the system only occur when the error exceeds a predetermined threshold, so it will reduce economic losses. Then, considering the asynchronous switching between the subsystems and the controllers, some sufficient conditions are proposed by using merging switching signal method and multiple Lyapunov function method to ensure the [Formula: see text] performance of the asynchronous closed-loop system. Finally, a numerical example is given to illustrate the validity of the results.

Observer-Based Control of a Class of Switched Fuzzy Systems

2014 ◽  
Vol 945-949 ◽  
pp. 2539-2542
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
Function Method ◽  
State Feedback ◽  
Closed Loop ◽  
External Disturbance ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Lyapunov Function Method ◽  
Switching State

For the non-measurable states, a control of switched fuzzy systems is presented based on observer. Using switching technique and multiple Lyapunov function method, the fuzzy observer is built to ensure that for all allowable external disturbance the relevant closed-loop system is asymptotically stable. Moreover, switching strategy achieving system global asymptotic stability of the switched fuzzy system is given. In this model, a switching state feedback controller is presented. A simulation shows the feasibility and the effectiveness of the method.

Event-triggered Hꝏ control for NCS with time-delay and packet losses

2019 ◽  
Vol 37 (3) ◽  
pp. 918-934
Author(s):  
Jing Bai ◽  
Ying Wang ◽  
Li-Ying Zhao
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Discrete Event ◽  
Sufficient Conditions ◽  
Loop System ◽  
Linear Matrix ◽  
Time Varying ◽  
Closed Loop System ◽  
Packet Losses ◽  
Event Triggered

Abstract This paper is concerned with the discrete event-triggered dynamic output-feedback ${H}_{\infty }$ control problem for the uncertain networked control system, where the time-varying sampling, network-induced delay and packet losses are taken into account simultaneously. The random packet losses are described via the Bernoulli distribution. And then, the closed-loop system is modelled as an augmented time-delay system with interval time-varying delay. By using the Lyapunov stability theory and the augmented state space method, the sufficient conditions for the asymptotic stability of the closed-loop system are proposed in the form of linear matrix inequalities. At the same time, the design method of the ${H}_{\infty }$ controller is created. Finally, a numerical example is employed to illustrate the effectiveness of the proposed method.

scholarly journals Design of Feedback Control for Networked Finite-Distributed Delays Systems with Quantization and Packet Dropout Compensation

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Wen-Chiung Hsu ◽  
Lian-Wang Lee ◽  
Kuan-Hsuan Tseng ◽  
Chien-Yu Lu ◽  
Chin-Wen Liao ◽  
...  
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Closed Loop ◽  
Design Method ◽  
Feedback Controller ◽  
Distributed Delays ◽  
Packet Dropout ◽  
System State ◽  
Closed Loop System ◽  
Output Feedback Controller

This paper investigates the feedback control for networked discrete-time finite-distributed delays with quantization and packet dropout, and systems induce theH∞control problem. The compensation scheme occurs in a random way. The quantization of system state or output signal is in front of being communicated. It is shown that the design of both a state feedback controller and an observer-based output feedback controller can be achieved, which ensure the asymptotical stability as well as a prescribedH∞performance of the resulting closed-loop system satisfying dependence on the size of the discrete and distributed delays. Numerical examples are given to illustrate the effectiveness and applicability of the design method in this paper.

scholarly journals H∞ Control for Discrete-Time Networked T-S Fuzzy Systems with Packet Loss Based on Event-Triggered Mechanism

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Huiying Chen ◽  
Dongqin Xu ◽  
Zuxin Li ◽  
Yanfeng Wang
Keyword(s):  
Packet Loss ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Networked Control System ◽  
Data Packet ◽  
State Feedback Control ◽  
Networked Control ◽  
Nonlinear Networked Control Systems ◽  
Event Triggered

The H∞ state feedback control problem for a class of nonlinear networked control systems with data packet loss is studied using an event-triggered scheme. The data packet loss is described as an independent and homogeneous Bernoulli process. Under an event-triggered scheme, the nonlinear networked control system with packet loss is modeled as a Takagi-Sugeno (T-S) fuzzy system, based on which sufficient conditions on the existence of event-triggered state feedback controllers are derived such that the closed-loop system is mean-square stable with a desired H∞ performance index. The simulation results show that the presented event-triggered scheme can not only ensure the closed-loop performance but also effectively reduce the data transmission rate.

Exponentially Dissipative Control for Singular Impulsive Dynamical Systems

2017 ◽  
Vol 139 (4) ◽  
Author(s):  
Li Yang ◽  
Xinzhi Liu ◽  
Zhigang Zhang
Keyword(s):  
Dynamical Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Dissipative Control ◽  
Necessary And Sufficient

This paper studies the problem of exponentially dissipative control for singular impulsive dynamical systems. Some necessary and sufficient conditions for exponential dissipativity of such systems are established in terms of linear matrix inequalities (LMIs). A state feedback controller is designed to make the closed-loop system exponentially dissipative. A numerical example is given to illustrate the feasibility of the method.

scholarly journals Stability of Discrete Systems Controlled in the Presence of Intermittent Sensor Faults

2008 ◽  
Vol 2008 ◽  
pp. 1-11
Author(s):  
Rui Vilela Dionísio ◽  
João M. Lemos
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Sensor Faults ◽  
Closed Loop System ◽  
Reconstructed Signal ◽  
Time Invariant

This paper presents sufficient conditions for stability of unstable discrete time invariant models, stabilized by state feedback, when interrupted observations due to intermittent sensor faults occur. It is shown that the closed-loop system with feedback through a reconstructed signal, when, at least, one of the sensors is unavailable, remains stable, provided that the intervals of unavailability satisfy a certain time bound, even in the presence of state vanishing perturbations. The result is first proved for linear systems and then extended to a class of Hammerstein systems.

scholarly journals Practical output tracking for a class of uncertain nonlinear time-delay systems via state feedback

2018 ◽  
Vol 189 ◽  
pp. 10027
Author(s):  
Keylan Alimhan ◽  
Naohisa Otsuka ◽  
M.N. Kalimoldayev ◽  
N. Tasbolat
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Closed Loop ◽  
Tracking Error ◽  
Growth Conditions ◽  
Delay Systems ◽  
Homogeneous State ◽  
Time Delay Systems ◽  
Closed Loop System ◽  
Output Tracking

In this paper, the problem of global practical output tracking is investigated by state feedback for a class of uncertain nonlinear time-delay systems. Under mild conditions on the system nonlinearities involving time delay, we construct a homogeneous state feedback controller with an adjustable scaling gain. By a homogeneous Lyapunov-Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the tracking error can be made arbitrarily small while all the states of the closed-loop system remain to be bounded.

scholarly journals l1-Induced State-Feedback Controller Design for Positive Fuzzy Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Xiaoming Chen ◽  
Mou Chen ◽  
Jun Shen
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Closed Loop System ◽  
State Feedback Controller ◽  
Takagi Sugeno ◽  
Theoretical Results

The problem ofl1-induced state-feedback controller design is investigated for positive Takagi-Sugeno (T-S) fuzzy systems with the use of linear Lyapunov function. First, a novel performance characterization is established to guarantee the asymptotic stability of the closed-loop system withl1-induced performance. Then, the sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimization approaches are developed to solve the conditions. Finally, one example is presented to show the effectiveness of the derived theoretical results.

Robust preview control for polytopic nonlinear control systems

2021 ◽  
pp. 014233122199217
Author(s):  
Li Li ◽  
Xiao Yu
Keyword(s):  
Control Problem ◽  
Tracking Control ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Error System ◽  
Linear Matrix Inequality Approach ◽  
Parameter Dependent

In this paper, the preview tracking control problem for Lipschitz nonlinear system, where future reference signals over a finite horizon can be previewed. First, an augmented error system including previewed information is constructed, which transforms a preview tracking control problem into a regulation problem. Furthermore, sufficient conditions on polytopic nonlinear systems, which guarantee the corresponding closed-loop system to be asymptotically stable, are derived by employing parameter-dependent Lyapunov function. A linear matrix inequality approach for designing preview controllers in state feedback and output feedback settings is presented. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed approach.

Design of a stabilizing controller for discrete-time switched delay systems with affine parametric uncertainties

2018 ◽  
Vol 41 (1) ◽  
pp. 14-22 ◽  
Author(s):  
NA Baleghi ◽  
MH Shafiei
Keyword(s):  
Discrete Time ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Loop System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Parametric Uncertainties ◽  
Closed Loop System ◽  
Stabilizing Controller

This paper studies the stabilization problem of discrete-time switched systems in the presence of a time-varying delay and parametric uncertainties. The main goal is to provide a state feedback controller to guarantee the stability of the closed-loop system with an evaluated average dwell time. In this regard, an appropriate Lyapunov–Krasovskii functional is constructed and the sufficient conditions for stability of the closed-loop system are developed in terms of feasibility testing of proposed linear matrix inequalities. These conditions only depend on the upper bounds of the time delay and uncertain parameters. Additionally, a numerical example is provided to verify the theoretical results.

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