scholarly journals Prediction-Based Control for Nonlinear Systems with Input Delay

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
I. Estrada-Sánchez ◽  
M. Velasco-Villa ◽  
H. Rodríguez-Cortés
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Input Signal ◽  
Lyapunov Functional ◽  
The State ◽  
Constant Time Delay ◽  
Change Of Variable ◽  
Lipschitz Systems ◽  
Suitable Change ◽  
Prediction Strategy

This work has two primary objectives. First, it presents a state prediction strategy for a class of nonlinear Lipschitz systems subject to constant time delay in the input signal. As a result of a suitable change of variable, the state predictor asymptotically provides the value of the state τ units of time ahead. Second, it proposes a solution to the stabilization and trajectory tracking problems for the considered class of systems using predicted states. The predictor-controller convergence is proved by considering a complete Lyapunov functional. The proposed predictor-based controller strategy is evaluated using numerical simulations.

scholarly journals Distributed Optimal Control for a Class of Switched Nonlinear Systems with the State Time Delay

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yuxing Duan ◽  
Baili Su
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Nonlinear Systems ◽  
Control Method ◽  
The State ◽  
Switched Nonlinear Systems ◽  
Distributed Optimal Control ◽  
Switching Sequence ◽  
State Time ◽  
Optimal Control Method

This paper is focused on a kind of distributed optimal control design for a class of switched nonlinear systems with the state time delay which have a prescribed switching sequence. Firstly, we design a bounded controller to make the system stable for each mode of the nominal system. Then, a distributed optimal controller which can satisfy input constraint is designed based on the bounded stabilization controller. A sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate assumption. The significance of this paper is that distributed optimal control method is applied to switched nonlinear systems with the state time delay. Finally, a simulation example is given to verify the effectiveness of the proposed method.

scholarly journals Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
N. Mohamed Thoiyab ◽  
P. Muruganantham ◽  
Grienggrai Rajchakit ◽  
Nallappan Gunasekaran ◽  
Bundit Unyong ◽  
...  
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Lyapunov Functional ◽  
Constant Time Delay ◽  
Constant Time ◽  
Frobenius Norm ◽  
Sufficient Condition ◽  
Numerical Examples ◽  
Global Stability Analysis ◽  
Bounded Functions

This paper deals with the global asymptotic robust stability (GARS) of neural networks (NNs) with constant time delay via Frobenius norm. The Frobenius norm result has been utilized to find a new sufficient condition for the existence, uniqueness, and GARS of equilibrium point of the NNs. Some suitable Lyapunov functional and the slope bounded functions have been employed to find the new sufficient condition for GARS of NNs. Finally, we give some comparative study of numerical examples for explaining the advantageous of the proposed result along with the existing GARS results in terms of network parameters.

scholarly journals Event-Triggering State and Fault Estimation for a Class of Nonlinear Systems Subject to Sensor Saturations

Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1242
Author(s):  
Cong Huang ◽  
Bo Shen ◽  
Lei Zou ◽  
Yuxuan Shen
Keyword(s):  
Nonlinear Systems ◽  
Difference Equations ◽  
Estimation Error ◽  
Upper Bounds ◽  
The State ◽  
Fault Estimation ◽  
Triggering Mechanism ◽  
Transmission Frequency ◽  
Current Transmission ◽  
Event Triggering

This paper is concerned with the state and fault estimation issue for nonlinear systems with sensor saturations and fault signals. For the sake of avoiding the communication burden, an event-triggering protocol is utilized to govern the transmission frequency of the measurements from the sensor to its corresponding recursive estimator. Under the event-triggering mechanism (ETM), the current transmission is released only when the relative error of measurements is bigger than a prescribed threshold. The objective of this paper is to design an event-triggering recursive state and fault estimator such that the estimation error covariances for the state and fault are both guaranteed with upper bounds and subsequently derive the gain matrices minimizing such upper bounds, relying on the solutions to a set of difference equations. Finally, two experimental examples are given to validate the effectiveness of the designed algorithm.

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

The Use of Response Prompting and Frames for Teaching Sentence Writing to Students With Moderate Intellectual Disability

2016 ◽  
Vol 33 (3) ◽  
pp. 142-149 ◽  
Author(s):  
Robert Pennington ◽  
Allison Flick ◽  
Kendra Smith-Wehr
Keyword(s):  
Intellectual Disability ◽  
Time Delay ◽  
Delay System ◽  
Constant Time Delay ◽  
Intervention Package ◽  
Time Delay System ◽  
Moderate Intellectual Disability ◽  
System Of Least Prompts ◽  
Response Prompting ◽  
Multiple Probe

In the current study, we examined the effects of response prompting strategies (i.e., constant time delay, system of least prompts) and frames on sentence writing for three participants, ages 7 to 12, with moderate intellectual disability. We used a concurrent multiple probe across behaviors design to evaluate the efficacy of the intervention package and posttest probes to assess generalized responding to untrained stimulation. During intervention, the teacher taught two students to construct sentences using selection-based software and another to generate handwritten responses across three different writing frames (i.e., I want _________, I see _____, The _____ is ______). Our findings suggest that the package was effective and produced variable levels of maintenance and generalized responding for all three participants.

Measurement of the Pulverized Coal Concentration by Measuring the Time Delay of Ultrasonic with Digital Correlation Method

2013 ◽  
Vol 333-335 ◽  
pp. 359-364
Author(s):  
Ke Wang
Keyword(s):  
Time Delay ◽  
Power Plant ◽  
Correlation Method ◽  
The State ◽  
Pulverized Coal ◽  
Measuring System ◽  
Digital Correlation ◽  
Coal Boiler ◽  
Key Parameter

The pulverized coal concentration in blast pipe in front of firebox is one key parameter in coal boiler used in a power plant; it will affect the state of burning in firebox. This paper proposes a new digital correlation method to measure the time delay of ultrasonic for measuring the pulverized coal concentration. The principle of measurement is discussed in detail and the measuring system is designed.

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