3 Classical closed-loop control 8 3.1 PID feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Transfer functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 Closed-loop stability . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Gain and phase margins and robustness . . . . . . . . . . . . . . . . 12 3.5 Sensitivity function and fundamental...

Shapeandvibrationcontrol of a linear  exible structure bymeans of a new type of inertial slip-stick actuator are investigated. A nonlinear model representing the interaction between the structure and a six-degree-of-freedom Stewart platform system containing six actuators is derived, and closed-loop stability and performance of the controlled systems are investigated. A linearized model is als...

Phase-locked loops (PLL) have found applications in many industrial applications such as communication and control systems. The key requirements are stability and loop performance in terms of signal-to-noise ratio and tracking errors. Here we present a two-step approach to PLL design. First, we present a Lyapunov approach to analyze the loop stability. The parameter range that can guarantee sta...

. It is well known fact that system parameters of the flexible structures keep on changing due to several reasons. Ordinary controllers loose their effectiveness in changed situations and do not guarantee the stability of the closed loop system. However, controllers designed based on robust control theory, not only maintain the closed loop stability of the perturbed system with a large variatio...

The paper analyzes the properties of the controller coefficient perturbation resulting from using finite word length (FWL) block-floating-point arithmetic and investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in block-floating-point format. A true FWL closed-loop stability measure is derived which considers both the dynamic range a...

We consider the problem of controlling a linear system when the state is available with a non-negligible delay (delayed-state-feedback control). In such conditions, the resulting closed-loop system is always a time-delay-system. The solution proposed in this paper consists in partially assigning the spectrum of the closed-loop system while ensuring the exponential zero-state stability with a pr...

The stability of i-motif structures at neutral pH is of interest due to the potential of these structures to impact gene expression. A systematic investigation of loop sequence and length revealed that certain loop nucleobases stabilize i-motif quadruplexes.

It is well-known that exponential stabilization of a neutral system with unstable diierence operator is only possible by allowing for control laws containing derivative feedback. We show that closed-loop stability of a neutral system with unstable open-loop diierence operator obtained by applying a derivative feedback scheme is extremely sensitive to arbitrarily small time-delays in the feedbac...