Modeling and controlling highly nonlinear, multivariable, unstable, coupled underactuated systems are challenging problems to which a unique solution does not exist. control of Unmanned Aerial Vehicles (UAVs) with four rotors fall into that category problems. In this paper, nonlinear quadrotor UAV dynamical model is developed the Newton–Euler method, architecture proposed for 3D trajectory trac...

The free energy of an RNA fold is a combination of favorable base pairing and stacking interactions competing with entropic costs of forming loops. Here we show how loop entropy, surprisingly, can promote tertiary order. A general formula for the free energy of forming multibranch and other RNA loops is derived with a polymer-physics based theory. We also derive a formula for the free energy of...

A nonlinear feedback control law that achieves global asymptotic stabilization of a 2D thermal convection loop (widely known for its `Lorenz systema approximation) is presented. The loop consists of viscous Newtonian #uid contained in between two concentric cylinders standing in a vertical plane. The lower half of the loop is heated while the upper half is cooled, which makes the no-motion stea...

The input frequency limit of the conventional zero-crossing digital phase-locked loop (ZCDPLL) is due to the operating time of the digital circuitry inside the feedback loop. A solution that has been previously suggested is the introduction of a time delay in the feedback path of the loop to allow the digital circuits to complete their sample processing before the next sample is received. Howev...

Using the notion of exponential QSR-dissipativity (i.e., dissipativity with respect to a quadratic supply rate given in terms real matrices Q, S,R), this article presents necessary and sufficient conditions for stabilizability nonlinear systems by linear static output feedback (SOF). It is shown that, under mild assumptions, stabilization closed-loop system around origin equivalent plant...

We study the self-triggered stabilization of discrete-time linear systems with quantized state measurements. In networked control system we consider, sensors may be spatially distributed and connected to a self-triggering mechanism through finite data-rate channels. Each sensor independently encodes its measurements sends them mechanism. The integrates measurement data then computes sampling ti...

In the context of the theory of switched systems, and especially of the openloop stabilization problem, it is interesting to study the relationship between the placement of the eigenvalues of a matrix of the form H = θ1A1 + θ2A2 and those of the matrix E = e22e11 . It is well known that if all the eigenvalues of H have negative real part and θ1 + θ2 is small enough, then the eigenvalues of E li...

This paper studies the stabilization problem for T-S fuzzy systems with time delay. Based on Lyapunov criterion and Razumikhin theorem, two types of stabilizing controller are designed. One is the linear state feedback controller and the other is the parallel distributed fuzzy controller (PDFC). For each type of the controller, there are some derived sufficient conditions under which the whole ...

In this paper, the problems of exponential stability analysis and stabilization are investigated for sampled-data systems with probabilistic sampling. By introducing a stochastic variable satisfying a Bernoulli distribution, the probabilistic sampling system is transformed into a continuous time-delay system with stochastic parameters. A Lyapunov functional approach is developed to establish th...

The problem of asymptotic stabilization of a process via communication channel under control input constraints is studied. A solution is proposed which provides encoders, decoders and controllers accomplishing global asymptotic stabilization of the closed-loop system provided that a suitable number of bits is used to encode the information generated by the process. The proposed solution shows i...