A Novel Robust Extended Dissipativity State Feedback Control system design for Interval Type-2 Fuzzy Takagi-Sugeno Large-Scale Systems

TL;DR

This paper introduces a robust control design for large-scale systems modeled with Interval Type-2 Fuzzy Takagi-Sugeno models, reducing conservatism and enhancing stability against uncertainties and external disturbances.

Contribution

It proposes a novel extended dissipativity-based control approach using LMIs for large-scale fuzzy systems, improving robustness and stability analysis.

Findings

Successfully stabilizes a double inverted pendulum system

Reduces conservatism in stability analysis

Enhances robustness against external perturbations

Abstract

In this paper, we use the advantage of large-scale systems modeling based on the type-2 fuzzy Takagi-Sugeno model to cover the uncertainties caused by large-scale systems modeling. The advantage of using membership function information is the reduction of conservatism resulting from stability analysis. Also, this paper uses the extended dissipativity robust control performance index to reduce the effect of external perturbations on the large-scale system, which is a generalization of H, L, passive, and dissipativity performance indexes and control gains can be achieved through solving linear matrix inequalities (LMIs), so the whole closed-loop fuzzy large-scale system is asymptotically stable.. Finally, the effectiveness of the proposed method is demonstrated by a numerical example of a double inverted pendulum system.