Robust sampled-data stabilization of linear systems: an input delay approach
Copyright policy )Robust sampled-data stabilization of linear systems: an input delay approach
The authors develop necessary LMI conditions for checking whether a linear static state feedback asymptotically stabilizes a linear sampled-data system with known bound on the sampling rate. The results are obtained by interpreting sampling as a time-varying uncertain delay and by representing the resulting system in descriptor form. The LMIs are show to be feasible for continuous-time stabilizing controllers under sufficiently fast sampling. Extensions to saturated feedback laws are also discussed.
- Tel Aviv University Israel
- French National Centre for Scientific Research France
- University of Lille France
Sampled-data control/observation systems, sampled-data stabilization, Delay, delay, saturation, Linear inequalities of matrices, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Time-varying delay, Stabilization, Linear systems in control theory, Sampled-data control, Stabilization of systems by feedback, descriptor system, LMI, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, linear matrix inequality, Implicit ordinary differential equations, differential-algebraic equations
Sampled-data control/observation systems, sampled-data stabilization, Delay, delay, saturation, Linear inequalities of matrices, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Time-varying delay, Stabilization, Linear systems in control theory, Sampled-data control, Stabilization of systems by feedback, descriptor system, LMI, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, linear matrix inequality, Implicit ordinary differential equations, differential-algebraic equations
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