Actuator saturation and anti-windup compensation in event-triggered control

Kiener, Georg Alexander; Lehmann, Daniel; Johansson, Karl Henrik

doi:10.1007/s10626-012-0151-1

Cited by 72 publications

(54 citation statements)

References 29 publications

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“…Remark 2. Theorem 2 guarantees local stability of the origin while the results proposed in Kiener et al [2013] only guarantees the convergence of the closed-loop trajectories to a bounded set around the origin. Remark 3.…”

Section: Event-triggered Control Designmentioning

confidence: 99%

“…It is now well known that the presence of saturation may cause loss in performance, even unstable behavior (see, for example, Tarbouriech et al [2011] and references therein). At the knowledge of the authors, few results deal with event-based control and saturated system as in Kiener et al [2013]. In the current paper, extending the results developed in Seuret and Prieur [2011], we use the hybrid framework and the Lyapunov theory to define the update This work was was supported by ANR project LimICoS contract number 12 BS03 005 01.…”

Section: Introductionmentioning

confidence: 98%

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Event-triggered control with LQ optimality guarantees for saturated linear systems

Seuret

Prieur

Tarbouriech

et al. 2013

IFAC Proceedings Volumes

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To cite this version:Alexandre Seuret, Christophe Prieur, Sophie Tarbouriech, Luca Zaccarian. Event-triggered control with LQ optimality guarantees for saturated linear systems. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013) Abstract: Given a predesigned linear state feedback law for a linear plant ensuring (global) exponential stability of the linear closed loop, together with a certain level of performance, we address the problem of recovering (local or global) exponential stability and performance in the presence of plant input saturation and of a communication channel between the controller output and the saturated plant input. To this aim, we adopt Lyapunov-based techniques which combine generalized sector conditions to deal with the saturation nonlinearity, and eventtriggered techniques to deal with the communication channel. The arising analysis yields an event-triggered algorithm to update the saturated plant-input based on conditions involving the closed-loop state. The proposed Lyapunov formulation leads to numerically tractable conditions that guarantee local (or global) exponential stability of the origin of the sampled-data system with an estimate of the domain of attraction.

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Section: Event-triggered Control Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Event-triggered control with LQ optimality guarantees for saturated linear systems

Seuret

Prieur

Tarbouriech

et al. 2013

IFAC Proceedings Volumes

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“…There are few literatures studied event-triggered control with saturated inputs. In [18] and its follow-up work [19], the authors studied event-triggered output feedback control for linear systems with actuator saturation, where the practical stability is guaranteed. Then, they applied the anti-windup approach to improve the performance of the systems.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Integral-Based Event-Triggered Stabilization for Linear Plant with Actuator Saturation and Output Feedback

Zhang

Hao

2016

Applied Sciences

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This paper studies the integral-based event-triggered asymptotic stabilization for a continuous-time linear plant. Both actuator saturation and observer-based output feedback are considered. The sensors and actuators are implemented in a decentralized manner and a type of Zeno-free decentralized integral-based event condition is designed to guarantee the asymptotic stability of the closed-loop systems. The positive lower bound of inter-event times is guaranteed by enforcing the event conditions not to be triggered until some fixed intervals. A linear optimization problem is introduced to find the largest stability region. Moreover, the co-design of the parameters in event conditions and the controller gain matrices is proposed in terms of linear matrix inequalities. Finally, two numerical examples are given to illustrate the efficiency and the feasibility of the proposed results.

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“…Few researchers address the setpoint tracking problem in the event-triggered control framework, see [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. An early approach of event-triggered PI control [7] has shown that the communication effort can be significantly reduced with little degradation of the control performance compared with the time-based counterpart.…”

Section: Introductionmentioning

confidence: 99%

“…To prove asymptotic stability, an upper and lower bound on the inter-event time is considered. Taking the actuator saturation into account, stability analysis under absolute threshold policies is derived in [15,16], leading to a practical stability (ultimate boundedness). In addition to the setpoint tracking problem, the disturbance rejection problem is studied in [10,12,13] under absolute threshold policies.…”

Section: Introductionmentioning

confidence: 99%

PI control synthesis for event-triggered control systems

Reimann¹,

Wu²,

Liu³

2015

At - Automatisierungstechnik

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Event-triggered control aims at reducing the resource utilization, especially the communication over the feedback link, while guaranteeing a certain control performance. Although setpoint tracking problems are common in practice, the majority of the proposed approaches in literature focus on regulation problems. Therefore, an eventtriggered PI control design strategy with guaranteed performance is proposed in this paper, where both the eventtriggering condition and the PI controller are implemented periodically. Based on a quadratic cost function, the PI control design problem is introduced and formulated as an LMI optimization problem. Comparisons with other approaches in the literature are made by simulation and by experimental studies to demonstrate the effectiveness of the proposed strategy.Zusammenfassung: Das Ziel der ereignisbasierten Regelung ist es, die Verwendung der begrenzten Ressourcen zu reduzieren, wobei eine gewisse Regelperformance erhalten bleiben soll. Die meisten in der Literatur vorhandenen Ansätze betrachten jedoch Regulierungsprobleme, obwohl in der Praxis vor allem die Einregelung von Sollwerten ein verbreitetes Problem darstellt. Dieser Beitrag stellt daher eine Ansatz zur ereignisbasierten PI Regelung vor, bei dem neben der Kommunikationsreduktion eine gewisse Regelperformance garantiert werden kann. Die Ereignisbedingung sowie der PI Regler werden dabei digital realisiert. Basierend auf einer quadratischen Kostenfunktion wird der PI Reglerentwurf als LMI Optimierungsproblem formuliert. Es werden simulative und experimentelle Ergebnisse vorgestellt in denen die vorgestellte Methodik mit Ansätzen aus der Literatur verglichen wird.Schlüsselwörter: Ereignisbasierte Regelung, PI Regelung, Ausgangsrückführung, digitale Regelung, vernetzte Regelungssysteme.

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Actuator saturation and anti-windup compensation in event-triggered control

Cited by 72 publications

References 29 publications

Event-triggered control with LQ optimality guarantees for saturated linear systems

Event-triggered control with LQ optimality guarantees for saturated linear systems

Decentralized Integral-Based Event-Triggered Stabilization for Linear Plant with Actuator Saturation and Output Feedback

PI control synthesis for event-triggered control systems

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