In this paper we present a method to simultaneously design a static state feedback gain and the trigger function to stabilize discrete-time LTI systems subject to actuator saturation under an event-triggered strategy....
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In this paper we present a method to simultaneously design a static state feedback gain and the trigger function to stabilize discrete-time LTI systems subject to actuator saturation under an event-triggered strategy....
详细信息
In this paper we present a method to simultaneously design a static state feedback gain and the trigger function to stabilize discrete-time LTI systems subject to actuator saturation under an event-triggered strategy. We derive LMI-based conditions that ensure local (or global, when possible) asymptotic stability of the origin based on the Lyapunov theory. To tune the parameters, we propose convex optimization problems aiming at reducing the sampling activity. The efficiency of the proposed method is illustrated by numerical examples.
This paper addresses the problem of designing an event-triggered strategy for discrete-time systems with an observer-based controller. The considered system has the actuator and the sensor in different nodes separated...
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ISBN:
(纸本)9781467386838
This paper addresses the problem of designing an event-triggered strategy for discrete-time systems with an observer-based controller. The considered system has the actuator and the sensor in different nodes separated by a network. The strategy consists in minimizing the use of the network by only transmitting data from the observer to the controller and from the controller to the actuator when a trigger is generated by an event-trigger function. Based on the Lyapunov theory, conditions for the stability of the closed-loop system in terms of linear matrix inequalities (LMIs) are derived. Convex optimization problems are provided to tune the proposed trigger functions aiming at reducing the usage of the network. Simulation examples illustrate the proposed method and compare the efficiency of the proposed optimization problems.
This paper proposes a methodology to design stabilizing event-trigger strategies for PI controlled linear continuous-time plants subject to input saturation. Using Lyapunov theory techniques, LMI-based conditions are ...
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ISBN:
(纸本)9781467386838
This paper proposes a methodology to design stabilizing event-trigger strategies for PI controlled linear continuous-time plants subject to input saturation. Using Lyapunov theory techniques, LMI-based conditions are derived to guarantee regional (or global, when possible) asymptotic stability of the origin. These conditions can be cast in an optimization problem to choose the parameters of the trigger function aiming at reducing the sampling activity, while ensuring the regional stability of the origin with respect to a given set of admissible initial states. Simulation results illustrate the application and potentialities of the method.
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