Uwe Keller, Donald Reay, Roy Leitch Intelligent Systems Laboratory Dept. of Computing & Electrical Engineering Heriot-Watt University, Edinburgh EH14 4AS, Scotland, UK [email protected] Abstract In this paper Fuzzy Region Simulation (FRenSi), which provides solutions for fuzzy dynamical models, is applied to qualitative adaptive control. FRenSi, combines fuzzy model parameters and fuzzy initial...

This paper revisits dynamic surface control based adaptive Takagi-Sugeno (TS) fuzzy model i.e. (DSC-TS), for a problem of uncertain nonlinear dynamical systems with bounded disturbance. Dynamic surface control (DSC) methods with the combination of TS-model are used for control and approximation of uncertain nonlinear systems up to a tolerance limit. DSC has the advantage over integrator backpst...

The Cluster-Weighted Modeling (CWM) is emerging as a versatile tool for modeling dynamical systems. It is a mixture density estimator around local models. To be specific, the input regions together with output regions are treated to be Gaussian serving as local models. These models are linked by a linear or non-linear function involving the mixture of densities of local models. The present work...

In this work we present a new approach on the study of dynamical systems. Combining the two ways of expressing the uncertainty, using probabilistic theory and credibility theory, we have investigated the generalized fractional hybrid equations. We have introduced the concepts of generalized fractional Wiener process, generalized fractional Liu process and the combination between them, generaliz...

This paper presents probability and possibility as two measures to model different types of uncertainty in continuous dynamical systems. We analyze and compare how probability and possibility distribution evolve in a dynamical system modeled by differential equations, where initial conditions and/or parameter may be uncertain. Moreover, we propose a new algorithm for the numerical resolution of...

‎In this paper we investigate the dilations of completely positive definite representations‎ ‎of (C^ast)-dynamical systems with abelian groups on Hilbert (C^ast)-modules‎. ‎We show that if ((mathcal{A}‎, ‎G,alpha)) is a (C^ast)-dynamical system with (G) an abelian group‎, ‎then every completely positive definite covariant representation ((pi,varphi,E)) of ((mathcal{A}‎, ‎G,alpha)) on a Hilbert ...

Particle Swarm Optimization (PSO) approach intertwined with Lozi map chaotic sequences to obtain Takagi–Sugeno (TS) fuzzy model for representing dynamical behaviours are proposed in this paper. The proposed method is an alternative for nonlinear identification approaches especially when dealing with complex systems that cannot always be modelled using first principles to determine their dynamic...

this paper introduces a method to design a robust adaptive predictive control based on Fuzzy model. The plant to be used as predictive model is simulated by TakagiSugeno Fuzzy Model, and the optimization problem is solved by a Genetic Algorithms or Branch and Bound. The method to tune parameters of the model predictive controller based on Lyapunov stability theorem is presented in this paper to...

This paper suggests a decentralized adaptive sliding mode formation procedure for affine nonlinear multi-quadrotor under a fixed directed topology wherever the followers are conquered by dynamical uncertainties. Compared with the previous studies which primarily concentrated on linear single-input single-output (SISO) agents or nonlinear agents with constant control gain, the proposed method is...

in this paper, we introduce the concept of dynamical distance on a nuclear con-guration space. we partition the nuclear conguration space into disjoint classes. this clas-sication coincides with the classical partitioning of molecular systems via the concept ofconjugacy of dynamical systems. it gives a quantitative criterion to distinguish dierentmolecular structures.