Parameter-varying state feedback control for discrete-time polytopic systems
DOI10.1080/00207720903282949zbMath1233.93072OpenAlexW2122550159MaRDI QIDQ3006237
Publication date: 10 June 2011
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207720903282949
stability conditionsLyapunov functionslinear matrix inequalities (LMIs)state feedback controller\(H_{\infty }\) performance optimizationtime-varying discrete-time polytopic systems
Feedback control (93B52) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)
Related Items (1)
Cites Work
- Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions
- Homogeneous Lyapunov functions for systems with structured uncertainties.
- LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
- Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya's theorem
- Establishing tightness in robust \(\mathcal H _{\infty}\) analysis via homogeneous parameter-dependent Lyapunov functions
- A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design
- LMI relaxations in robust control
- Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form
- Robust control through piecewise Lyapunov functions for discrete time-varying uncertain systems
- ℋ2guaranteed cost control for uncertain discrete-time linear systems
- Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach
- Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
- Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
- On the Gap Between Positive Polynomials and SOS of Polynomials
- Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations
This page was built for publication: Parameter-varying state feedback control for discrete-time polytopic systems
