Improved Stability Criteria for Sampling Control Systems
The problem of stability analysis for sampling control systems is studied by using Lyapunov-like functional.The constructed Lyapunov-like functional utilizes the system information on both[tk,t)and[t,tk+1)within the sampling interval[tk,tk+1).When estimating the derivative of the functional,an inequality which is less conservative than Wirtinger-based inequality and techniques like free-weight-matrix method are employed.Improved stability criteria are derived which are expressed in the form of linear matrix inequality.The LMI toolbox in MATLAB is employed to verify the effectiveness and superiority of the criteria.
Lyapunov-like functionalsampling control systemstabilitylinear matrix inequality