A passivity-based approach to reset control systems stability

Carrasco, Joaquín; Baños, Alfonso; Schaft, A.J. van der

doi:10.1016/j.sysconle.2009.10.009

Cited by 69 publications

(56 citation statements)

References 20 publications

(34 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nevertheless, the definition of discrete-time reset systems has an essential difference with the definition for continuous-time reset systems in [12]. In the continuous-time setting, the set of reset times is a set of measure zero in R, and this result is used in [12] to demonstrate the passivity of the continuous-time reset system. Roughly speaking, the set of reset times can be ignored in the integration of the supply function since the supplied energy to the reset system is zero during the reset action:…”

Section: Reset Systemsmentioning

confidence: 99%

“…The results presented in this paper are general, independently on the election of the reset law as in [12]. We assume that a reset law, M(x k , u k ) : ℓ e × ℓ e → {0, 1}, is given in such a way that the evolution of the system is perfectly characterised for any k ≥ 0.…”

Section: Reset Lawmentioning

confidence: 99%

“…It is useful to reach dissipativity conditions which are independent on the reset law as in [12]. This has been used in [37], where modifications in the reset law allow an improvement on the performance without degradation on passivity properties of the system.…”

Section: Reset Lawmentioning

confidence: 99%

“…Passivity theory has been applied in [12] to achieve an input-output stability result. In the same manner, [16] derives passivity conditions for the reset systems defined by Nešić et al [33].…”

Section: Introductionmentioning

confidence: 99%

“…The aim of the present work is to extend the results given in [12] for continuous-time reset systems to discrete-time reset systems, for a class of dissipative systems. In particular (Q, S, R)-dissipative systems are studied.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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

Carrasco

Navarro-López

2013

Systems & Control Letters

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Reset Systemsmentioning

confidence: 99%

Section: Reset Lawmentioning

confidence: 99%

Section: Reset Lawmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Carrasco

Navarro-López

2013

Systems & Control Letters

Self Cite

View full text Add to dashboard Cite

show abstract

Robust control and data‐driven tuning of a hybrid integrator‐gain system with applications to wafer scanners

Heertjes

Perdiguero

Deenen

2018

Adaptive Control & Signal

View full text Add to dashboard Cite

A hybrid integrator-gain system is discussed that aims for improved low-frequency disturbance rejection, while, at the same time, does not deteriorate overshoot and settling times when compared with a linear integrator. The hybrid integrator has similar phase advantages as the well-known Clegg integrator but without inducing the discontinuous behavior resulting from resetting system state values. Optimal tuning of the controller parameters of the hybrid integrator is strongly influenced by machine-specific properties and therefore favors a data-driven optimization approach. However, as a time-domain optimization algorithm can easily lead to nonrobust solutions in the sense of large peaking of the closed-loop frequency response functions, frequency-domain robustness constraints will be imposed. By means of an adaptive weighting filter design, the parameter updates are penalized upon violation of said robustness constraints. Posed in an unconstrained problem formulation, this is subsequently solved by applying a Gauss-Newton-based parameter update scheme.Closed-loop stability of the linear time-invariant plant and controller in feedback connection with a hybrid integrator-gain system element follows from a circle-criterion-like analysis, which is based on evaluating (measured) frequency response data. Measurement results obtained from an industrial wafer scanner demonstrate the effectiveness of the approach.

show abstract

A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

Ghaffari

Karimaghaee

Khayatian

2016

Asian Journal of Control

View full text Add to dashboard Cite

A reset mechanism in controller can affect the stability property of a closed loop control system. In a simple word, there are stable reset control systems with unstable base-systems and also unstable reset systems with stable base-systems. The Lyapunov stability theory is a strong tool to investigate the stability of a nonlinear system. In this paper, based on the wellknown Lyapunov stability concept, some stability conditions for nonlinear reset control systems are addressed. These conditions are dependent on the reset-times and hence the reset-time intervals are explicitly emerged in the stability conditions. Some applications of these results are used in numerical examples to show the effectiveness of the proposed approach.

show abstract

A passivity-based approach to reset control systems stability

Cited by 69 publications

References 20 publications

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

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

Robust control and data‐driven tuning of a hybrid integrator‐gain system with applications to wafer scanners

A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

Contact Info

Product

Resources

About