Stress in piezoelectric material can be controlled by imposing the electrical field. Thanks to a feedback, this electrical field can be a function of some strain related measurement so as to confer to the piezoelectric device a closed loop macroscopic behaviour. In this paper we address the modelling of such system by extending the modal decomposition methods to account for the closed loop. To ...

has the desired specifications. The main role of state feedback control is to stabilize a given system so that all closed-loop eigenvalues are placed in the left half of the complex plane. The following theorem gives a condition under which is possible to place system poles in the desired locations. Theorem 8.1 Assuming that the pair is controllable, there exists a feedback matrix such that the...

Transmit diversity techniques have received a lot of attention recently, and open–loop and closed–loop downlink transmit diversity modes for two transmit antennas have been included into 3GPP WCDMA Release 5. System capacity can be increased from that of open–loop modes if the transmitter can be provided additional side information of the downlink channel. In a frequency division duplex (FDD) s...

Given a continuous time nonlinear closed loop system, we investigate sampled–data feedback laws for which the trajectories of the sampled–data closed loop system converge to the continuous time trajectories with a prescribed rate of convergence as the length of the sampling interval tends to zero. We derive necessary and sufficient conditions for the existence of such sampled–data feedback laws...

In this paper, an optimal measurement feedback control problem that yields an almost-dissipative closed loop system is considered. Using information state ideas and the definition of the optimal cost presented, a dynamic programming equation is derived. Incremental analysis yields a corresponding variational inequality (VI) which naturally generalizes the information state based partial differe...

This note is concerned with the and positive-real control problems for linear neutral delay systems. The purpose of control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level, while the purpose of positive-real control is to...

Oscillatory network dynamics are implicated in the functioning of healthy neural circuits and in disease pathology. Manipulating or controlling oscillatory dynamics hence has potential applications both for probing the functional role of oscillations in neural computation and as a therapeutic tool. We have explored the potential of closed-loop optogenetic feedback to manipulate oscillatory netw...

This note is devoted to stabilizing a coupled PDE–ODE system with interaction at the interface. First, a state feedback boundary controller is designed, and the system is transformed into an exponentially stable PDE–ODE cascadewith an invertible integral transformation,where PDE backstepping is employed. Moreover, the solution to the resulting closed-loop system is derived explicitly. Second, a...

The global stabilization problem for discrete-time n-th order integrators system with saturated input is considered. A new class of nested type nonlinear feedback law is proposed possessing new and useful characteristics. First, this approach allows the designer to pick some parameters that facilitate the placement of the closed-loop pole set consisting of some pairs of conjugate complex number...

Considering a controllable, square, linear multivariable system, which is decouplable by static state feedback, we completely characterize in this paper the structure of the decoupled closed-loop system. The family of all attainable transfer function matrices for the decoupled closed-loop system is characterized, which also completely establishes all possible combinations of attainable finite p...