Sampled-data State Feedback Control Research Articles

Design of Sampled-Data Controller Based on Approximation Model of Nonlinear Systems

In this work we consider the design of nonlinear sampled-data state feedback controller with a fixed sampling period T to stabilize a continuous-time plant. When one has a sampled-data state feedback controller, which is designed according to an approximate discrete-time model and exponentially stabilizes the approximate discrete-time model, our result gives a computable sufficient condition to check if the sampled-data state feedback controller also exponentially stabilizes the continuous-time plant.

Sampled-data H8 state-feedback control of systems with state delays

In the present paper, we adopt the second approach to the ® nite horizon sampled-data state-delay H 1 -control problem. Note that in the case of state-delays the lifting technique leads to complicated discrete system with in® nite-dimensional state variable. We obtain the piecewise-constant state-feedback controllers by solving coupled RPDEs between sampling and updating the terminal conditions at the sampling instants. We derive an asymptotic approximation to the solution of these RPDEs by expanding it in the powers of the largest delay. The resulting approximation is obtained by solving uncoupled low-order partial diA erential equations. The performance of the system with the controller that has been obtained using the zero approximation (the one that corresponds to zero delay) is analysed when the open-loop system possesses a non-zero delay. Bounded real lemmas for systems with state delays and jumps are obtained. 2. Problem formulation

Chaos in non-linear sampled-data control systems

Abstract In this paper, sufficient conditions for chaos in non-linear sampled-data control systems are investigated by applying Marotto's (1978) Theorem and Shiraiwa and Kurata's (1980) Theorem. It is shown that a state-feedback sampled-data control system with sampling period T is chaotic if T > T∗ for sufficiently largo T∗. It is also shown that if a sampled-data control system has an output-feedback and can be split into two subsystems, the existence of chaos in the system can be checked only by the lower-dimensional subsystem behaviour.