Networked reset control systems with discrete time-varying delays

This paper proposes conditions on input-output stability of discrete-time reset systems by using some key dissipativity properties. In the continuoustime setting, dissipativity of the base linear system is preserved under reset actions if the storage function is decreasing at reset times. Indeed, when the reset system is full reset, the dissipativity of the base linear system ensures the dissipativity of the reset system. However, in the discrete-time setting, this condition on the storage function is not enough to ensure the dissipativity of the base linear system. We define some dissipativity properties of discretetime reset systems and give an appropriate definition of the reset system in order to preserve the (Q, S, R)−dissipativity of the base linear system under reset actions. As a result, ℓ 2 -stability of feedback interconnected dissipative control reset systems is obtained.

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“…By following [4,5], and using the zero-crossing reset law M zc , we will consider the following SISO reset system:…”

Section: Reset Systemsmentioning

confidence: 99%

“…Recently, the discrete version of reset control systems has been proposed [4,5]. An intermediate version is presented in [18], where the reset actions on a linear continuous-time system are triggered by a discrete law.…”

Section: Introductionmentioning

confidence: 99%

Towards -stability of discrete-time reset control systems via dissipativity theory

Carrasco

Navarro-López

2013

Systems & Control Letters

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“…The stability analyses of conventional reset controller and first-order reset element (FORE) are given in [106]. In [107], a reset controller with fixed reset step is investigated and implemented to a networked control system. The reset value is calculated to minimize the quadratic performance index on the signal error.…”

Section: Optimal Reset Controllermentioning

confidence: 99%