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Memory-Based Control with Event-Triggered Protocol for interval type-2 fuzzy network system under fading channel

Sen Kong, Meng Wang

TL;DR

The paper addresses stabilization of discrete-time interval type-2 fuzzy systems in networked environments subject to fading channels and actuator faults. It introduces a memory dynamic event-triggered mechanism (MDETM) paired with a membership-function-dependent memory output-feedback (MFD MOF) controller to reduce communication while exploiting membership-function information. Theoretical guarantees are established via two LMIs (Theorems 1 and 2) ensuring mean-square exponential stability and $\mathscr{H}_{\infty}$ performance $\gamma$, with algorithms provided to co-design controller gains and trigger parameters; simulations demonstrate improved robustness and reduced transmissions, especially when using piecewise membership-function dependency. The approach offers practical benefits for networked control of nonlinear uncertain systems in applications such as robotics and smart grids, where fading channels and actuator faults are common challenges.

Abstract

To address the challenges in networked environments and control problems associated with complex nonlinear uncertain systems, this paper investigates the design of a membership-function-dependent (MFD) memory output-feedback (MOF) controller for interval type-2 (IT2) fuzzy systems under fading channels, leveraging a memory dynamic event-triggering mechanism (MDETM). To conserve communication resources, MDETM reduces the frequency of data transmission. For mitigating design conservatism, a MOF controller is employed. A stochastic process models the fading channel, accounting for phenomena such as reflection, refraction, and diffraction that occur during data packet transmission through networks. An actuator failure model addresses potential faults and inaccuracies in practical applications. Considering the impacts of channel fading and actuator failures, the non-parallel distributed compensation (non-PDC) strategy enhances the robustness and anti-interference capability of the MDETM MOF controller. By fully exploiting membership function information, novel MFD control design results ensure mean-square exponential stability and $\mathscr H_{\infty}$ performance $γ$ for the closed-loop system. Simulation studies validate the effectiveness of the proposed approach.

Memory-Based Control with Event-Triggered Protocol for interval type-2 fuzzy network system under fading channel

TL;DR

The paper addresses stabilization of discrete-time interval type-2 fuzzy systems in networked environments subject to fading channels and actuator faults. It introduces a memory dynamic event-triggered mechanism (MDETM) paired with a membership-function-dependent memory output-feedback (MFD MOF) controller to reduce communication while exploiting membership-function information. Theoretical guarantees are established via two LMIs (Theorems 1 and 2) ensuring mean-square exponential stability and performance , with algorithms provided to co-design controller gains and trigger parameters; simulations demonstrate improved robustness and reduced transmissions, especially when using piecewise membership-function dependency. The approach offers practical benefits for networked control of nonlinear uncertain systems in applications such as robotics and smart grids, where fading channels and actuator faults are common challenges.

Abstract

To address the challenges in networked environments and control problems associated with complex nonlinear uncertain systems, this paper investigates the design of a membership-function-dependent (MFD) memory output-feedback (MOF) controller for interval type-2 (IT2) fuzzy systems under fading channels, leveraging a memory dynamic event-triggering mechanism (MDETM). To conserve communication resources, MDETM reduces the frequency of data transmission. For mitigating design conservatism, a MOF controller is employed. A stochastic process models the fading channel, accounting for phenomena such as reflection, refraction, and diffraction that occur during data packet transmission through networks. An actuator failure model addresses potential faults and inaccuracies in practical applications. Considering the impacts of channel fading and actuator failures, the non-parallel distributed compensation (non-PDC) strategy enhances the robustness and anti-interference capability of the MDETM MOF controller. By fully exploiting membership function information, novel MFD control design results ensure mean-square exponential stability and performance for the closed-loop system. Simulation studies validate the effectiveness of the proposed approach.

Paper Structure

This paper contains 10 sections, 72 equations, 7 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Model Description and Problem Formulation
  3. Discrete-Time IT2 T-S Fuzzy Systems:
  4. MDETM Subject to Fading Channel:
  5. MOF IT2 T-S fuzzy Controller Design:
  6. Actuator Failure Model:
  7. Closed-loop System:
  8. Main Results
  9. Simulation Studies
  10. Conclusions

Figures (7)

  • Figure 1: Network structure under MDETM, fading channel, MOF controller, and actuator failure with $\tilde{y}\left( t_k , \kappa \right)=[y\left(t_k\right) \cdots y\left(t_k - h + 1 \right) \cdots y\left(t_k - \kappa + 1 \right)]$, $\tilde{y}_{\xi}\left( t_k , \kappa \right)=[ y_{\xi}\left(t_k\right) \cdots y_{\xi}\left(t_k - h + 1 \right) \cdots y_{\xi}\left(t_k - \kappa + 1 \right)]$
  • Figure 2: Triggered time of different Cases
  • Figure 3: Output signal ${y}_{1}$ responses of different Cases
  • Figure 4: Triggered output signal ${{\rm{y}}_1}_{triggered}$ responses of different Cases
  • Figure 5: Output signal ${y}_{1}$ responses of different Cases
  • ...and 2 more figures