Intelligent digital control for nonlinear systems with multirate sampling
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
GA-based intelligent digital redesign of fuzzy-model-based controllers
IEEE Transactions on Fuzzy Systems
A new intelligent digital redesign for T-S fuzzy systems: global approach
IEEE Transactions on Fuzzy Systems
Digitalizing a Fuzzy Observer-Based Output-Feedback Control: Intelligent Digital Redesign Approach
IEEE Transactions on Fuzzy Systems
Multirate versions of sampled-data stabilization of nonlinear systems
Automatica (Journal of IFAC)
Hi-index | 0.00 |
This paper studies a stabilization problem for a multirate digital control of fuzzy systems based on the approximately discretized model. In the multirate control scheme, a numerical integration scheme is used to approximately predict the current state from the state measured at the sampling points. It is shown that the multirate digital fuzzy controller stabilizing an approximate discrete-time fuzzy model would also stabilize the sampled-data fuzzy system in the sufficiently small control update time. Furthermore, some sufficient conditions for the stabilization of the approximate discrete-time fuzzy model are provided under the delta-operator frame work, which are expressed as the linear matrix inequalities (LMIs) and thereby easily tractable by the convex optimization techniques. A numerical example is demonstrated to visualize the feasibility of the developed methodology.