Stability analysis of discrete-time positive polynomial-fuzzy-model-based control systems through fuzzy co-positive Lyapunov function with bounded control
DOI10.1049/iet-cta.2019.0133zbMATH Open1544.93685MaRDI QIDQ6598708
Bo Xiao, Zhiyong Bao, Hak-Keung Lam, Xiaomiao Li, Kamyar Mehran
Publication date: 5 September 2024
Published in: IET Control Theory \& Applications (Search for Journal in Brave)
stabilitylinear systemsfuzzy controlLyapunov stabilitypolynomialsnonlinear control systemsfuzzy set theorypositivity propertyLyapunov methodsbounded controldiscrete time systemsposition controlclosed loop systemscontrol system synthesispositivity conditionspositivity constraintco-positive Lyapunov functionclosed-loop polynomial fuzzy controllerconstructed polynomial fuzzy modelcontrol signal conditionscorresponding membership functionsdiscrete-time polynomial-fuzzy-model-based control systemsdiscrete-time positive polynomial-fuzzy-model-based control systemslocal sub-Lyapunov function candidates
Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Positive control/observation systems (93C28)
Cites Work
- Stability analysis and constrained control of a class of fuzzy positive systems with delays using linear copositive Lyapunov functional
- Positive filtering for positive Takagi-Sugeno fuzzy systems under \(\ell_1\) performance
- \(l_1\) filtering for continuous-discrete T-S fuzzy positive Roesser model
- Stabilization of positive Takagi-Sugeno fuzzy discrete-time systems with multiple delays and bounded controls
- Stability analysis of discrete-time fuzzy positive systems with time delays
- <inline-formula> <tex-math notation="TeX">$\ell_{\infty}/L_{\infty} $</tex-math></inline-formula>-Gain Analysis for Positive Linear Systems With Unbounded Time-Varying Delays
- Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays
- Analysis and Synthesis of Interconnected Positive Systems
- Stabilization of controlled positive discrete-time T-S fuzzy systems by state feedback control
- Nonlinear bounded control for norm-bounded uncertain systems
- Stabilization of Positive Switched Linear Systems and Its Application in Consensus of Multiagent Systems
- Stability Analysis and Delay Control for Switched Positive Linear Systems
- On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
- Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
- Reachability Properties of Single-Input Continuous-Time Positive Switched Systems
- $H_{\infty}$ Positive Filtering for Positive Linear Discrete-Time Systems: An Augmentation Approach
- Stochastic Receding Horizon Control With Bounded Control Inputs: A Vector Space Approach
- Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems
- Co-Positive Lyapunov Functions for the Stabilization of Positive Switched Systems
- Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances
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