Time-dependent vector stabilization

Time-dependent vector stabilization

Stabilization is one of the central themes of control theory. It was shown in [1–4] that the class of continuous stationary feedbacks is too restrictive for the purposes of stabilization of nonlinear systems. In other words, in order to design a continuous feedback stabilizer one needs to use functions depending on time and state [6, 8]. To stay with the class of stationary feedbacks one has to...

Finite-time stabilization of satellite quaternion attitude

In this paper, a finite-time control scheme is presented for stabilization of the satellite chaotic attitude around its equilibrium point when its attitude is confused by a disturbed torque. Controllers and settling time of stabilizaton are obtained, based on the Lyapunov stability theorem and finite-time control scheme. This method is satisfied for any initial condition. Numerical simulations ...

Distinguished trajectories in time dependent vector fields.

We introduce a new definition of distinguished trajectory that generalizes the concepts of fixed point and periodic orbit to aperiodic dynamical systems. This new definition is valid for identifying distinguished trajectories with hyperbolic and nonhyperbolic types of stability. The definition is implemented numerically and the procedure consists of determining a path of limit coordinates. It h...

Delay-dependent robust stabilization and $H_{infty}$ control for uncertain stochastic T-S fuzzy systems with multiple time delays

In this paper, the problems of robust stabilization and$H_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the Takagi-Sugeno (T-S) fuzzymodel have been studied. By constructing a new Lyapunov-Krasovskiifunctional (LKF) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $H_{infty}$ control scheme are p...

Time-dependent Simulations of Neoclassical Tearing Mode Stabilization in TCV