On characterizations of the input-to-state stability property
Systems & Control Letters
Digital Control and Implementation
Digital Control and Implementation
Limited Data Rate in Control Systems with Networks
Limited Data Rate in Control Systems with Networks
Brief Quadratic stabilization of sampled-data systems with quantization
Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Technical communique: Non-conservative ultimate bound estimation in LTI perturbed systems
Automatica (Journal of IFAC)
Randomized algorithms for quadratic stability of quantized sampled-data systems
Automatica (Journal of IFAC)
Brief paper: Control under quantization, saturation and delay: An LMI approach
Automatica (Journal of IFAC)
Brief paper: Componentwise ultimate bound and invariant set computation for switched linear systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.15 |
We present a novel systematic method to obtain componentwise ultimate bounds in perturbed sampled-data systems, especially when the perturbations arise due to quantization. The proposed method exploits the system geometry as well as the perturbation structure, and takes intersample behavior into account. The main features of the method are its systematic nature, whereby it can be readily computer coded, without requiring adjustment of parameters for its application, and its suitability for dealing with highly structured perturbation schemes, whereby the information on the perturbation structure is directly taken into account. The latter feature distinguishes the method from other approaches that require a bound on the norm of the perturbation and thus disregard information on the perturbation structure. We apply the method to a numerical example taken from the literature to illustrate its simplicity and potential.