High-gain observer for 3 × 3 linear heterodirectional hyperbolic systems

Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems

Estimation of boundary parameters in general heterodirectional linear hyperbolic systems

In this paper, we extend recent results on state and boundary parameter estimation in coupled systems of linear partial differential equations (PDEs) of the hyperbolic type consisting of n rightward and one leftward convecting equations, to the general casewhich involves an arbitrary number of PDEs convecting in both directions. Two adaptive observers are derived based on swapping design, where...

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

Minimum time control of heterodirectional linear coupled hyperbolic PDEs

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems. Considered systems feature an arbitrary number of coupled transport PDEs convecting in either direction. Using the backstepping approach, we derive a full-state feedback law and a boundary observer enabling stabilization by output feedback. Unlike previous results, finitetime convergence to zero is ach...

Robust high-gain DNN observer for non- linear stochastic continuous time systems

A class of nonlinear stochastic processes satysfying a Lipschitz-type strip condition and supplied by a linear output equation, is considered. Robust asymptotic (high-gain) state estimation for nonlinear stochastic processes via di erential neural networks is discussed. A new type learning law for the weight dynamics is suggested. By a stochastic Lyapunov-like analysis (with Ito formula impleme...