Stability Optimization of Periodic Mechanical Systems without Feedback

Pole Assignment Of Linear Discrete-Time Periodic Systems In Specified Discs Through State Feedback

The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. The former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. Nevertheless, now we can obtain the location of eigenvalues ...

Stability Results for Some Periodic Feedback Controllers

We propose two periodic feedback schemes for the stabilization of periodic orbits for one dimensional discrete time chaotic systems. These schemes can be generalized to higher dimensional systems in a straightforward way. We show that the proposed schemes achieve stabilization of a wide range of periodic orbits. The proposed schemes are quite simple and we show that any hyperbolic periodic orbi...

Delayed feedback control of periodic orbits without torsion in nonautonomous chaotic systems: theory and experiment.

We demonstrate theoretically and experimentally that the unstable delayed feedback controller is an efficient tool for stabilizing torsion-free unstable periodic orbits in nonautonomous chaotic systems. To improve the global control performance we introduce a two-step control algorithm. The problem of a linear stability of the system under delayed feedback control is treated analytically. Theor...

Periodic Solutions Design for Feedback Bilinear Systems

In this paper, we propose a feedback control for a class of bilinear systems. Based on the Bellman-Gronwall inequality, the exponentially stable periodic solutions or limit cycles, appearing as an ellipsoid in the phase plane, are guaranteed. Moreover, the frequency of oscillation and convergence rate can be correctly estimated for such bilinear control systems. Finally, a numerical example is ...

Partial feedback linearization of underactuated mechanical systems