Discrete-Time Sliding Mode Control for Uncertain Networked System Subject to Time Delay

Saulo C Garcia,Marcelo C M Teixeira,José Paulo F Garcia,Uiliam N L T Alves,Jean M S Ribeiro

doi:10.1155/2015/195120

Saulo C Garcia, Marcelo C M Teixeira + Show 3 more

Open Access

https://doi.org/10.1155/2015/195120

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Abstract

We deal with uncertain systems with networked sliding mode control, subject to time delay. To minimize the degenerative effects of the time delay, a simpler format of state predictor is proposed in the control law. Some ultimate bounded stability analyses and stabilization conditions are provided for the uncertain time delay system with proposed discrete-time sliding mode control strategy. A numerical example is presented to corroborate the analyses.

Highlights

Networked control system (NCS) is a very convenient strategy of control for industrial plants, where actuators and machines are located in rustic setting [1]
To minimize the degenerative effects of time delay, a simpler format of state predictor is used in the control law
The used state predictor has the advantage of fast computation, without the necessity of control signal sampling

Summary

Introduction

Networked control system (NCS) is a very convenient strategy of control for industrial plants, where actuators and machines are located in rustic setting [1]. Many other advantages, such as simple installation, great flexibility, and low cost, make the NCS a strategy widely used and researched [2] Despite these advantages, NCS implies the need of data acquisition, conversion of analog signal in digital form, and processing the data to generate the control signal. Many control strategies that are robust with respect to parametric variations and nonlinearities of the plant exhibit great sensitivity when delays are present, losing all their features of robustness Due to this and other problems and high control utilization, NCS has significantly attracted research communities with important results for numerous control methods such as fuzzy control, neural control, adaptive control, sliding mode control, optimal control techniques, and many more techniques [4,5,6,7,8,9,10,11]. A numerical example is presented to corroborate the results shown in the analyses

Systems with Time Delay due to NCS

State Predictor

Numerical Example

Conclusion