Stability Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delays
Summary
Takagi-Sugeno fuzzy systems provide a versatile framework for modelling complex nonlinear dynamics by blending local linear rules through fuzzy membership functions. When such systems are subject to time delays—whether constant, time-varying or distributed—their stability and performance can degrade, posing challenges in applications ranging from networked control to autonomous vehicles. Stability analysis typically relies on constructing tailored Lyapunov–Krasovskii functionals that capture delay effects, while control design often employs Parallel Distributed Compensation or static output feedback to synthesise controllers via linear matrix inequalities. Recent advances have reduced conservatism in delay-dependent and delay-range-dependent criteria, exploited integral inequalities, and introduced event-triggered and anti-disturbance strategies. Collectively, these developments enhance robustness and efficiency in fields such as power system stabilisation, robotic coordination under communication constraints and vehicle lateral dynamics control.
Research from Nature Portfolio
No recent Nature Portfolio content available.
Stability Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delays publication trend
The graph below shows the total number of articles in stability analysis and control of takagi-sugeno fuzzy systems with time delays across all publications each year (not limited to Nature Index journals).
Technical terms
Takagi-Sugeno fuzzy model: A representation of nonlinear systems as a weighted combination of linear submodels, where weights are determined by fuzzy membership functions.
Time-varying delay: A delay whose value changes over time, possibly within known bounds, influencing system memory and stability.
Lyapunov–Krasovskii functional: A generalised energy-like measure extending Lyapunov functions to systems with delays, used to derive stability conditions.
Linear Matrix Inequality (LMI): A convex constraint on matrix variables commonly employed to cast stability and control design problems into tractable optimisation forms.
Delay-range-dependent stability: A criterion that considers both lower and upper bounds of a time-varying delay when assessing system stability, reducing conservatism.
References
- An event-triggered extended dissipative control for Takagi-Sugeno fuzzy systems with time-varying delay via free-matrix-based integral inequality. Journal of the Franklin Institute (2020).
- Further results on stability analysis of Takagi–Sugeno fuzzy time-delay systems via improved Lyapunov–Krasovskii functional. AIMS Mathematics (2022).
- New Relaxed Static Output Feedback Stabilization of T–S Fuzzy Systems with Time-Varying Delays. Processes (2023).
- Delay-dependent anti-disturbance control of electric vehicle based on collective observers. AIMS Mathematics (2023).
Turn complex research questions into confident strategic decisions
When you're under pressure to set direction, justify investment, or understand your competitive position, you need more than raw data — you need trusted insights you can act on.
Benchmark your performance against global peers using robust, methodologically sound analysis.
Combine quantitative metrics with qualitative expert insight to uncover strengths, gaps and emerging opportunities.
Gain tailored, decision-ready recommendations aligned to your strategic priorities.
Talk to us to learn more about our data dashboards and bespoke strategy reports.
Grow research skills, confidence and careers with training built for every stage of the research lifecycle.
Developed with Nature Portfolio journal Editors and internationally renowned experts. Discover three ways to learn:
Self-paced, online courses in convenient bite-sized units, covering key skills across scientific writing, publishing, grant writing, data analysis, and more.
Expert trainer-led workshops with hands-on exercises and real-time feedback across core research skills, delivered via interactive group sessions.
Editor-led workshops combining core principles in writing and publishing, personalised 1:1 feedback from Nature Portfolio Editors and hands-on exercises.
Explore course catalogues and workshop agendas, enquire about the options or request institutional pricing.