Regional Stability Analysis of Discrete-Time Dynamic Output Feedback Under Aperiodic Sampling and Input Saturation

Silva, João Manoel Gomes da; Queinnec, Isabelle; Seuret, Alexandre; Tarbouriech, Sophie

doi:10.1109/tac.2016.2553365

Cited by 40 publications

(26 citation statements)

References 28 publications

(47 reference statements)

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“…However, there are few works on the nonlinear switched system. Hence, the above approach is extended to further explore the DSMNNs with actuator saturation, which is more freedom to be designed and less conservative than the exited ones . Meanwhile, the exponential stability and dissipativity are addressed in Theorem .…”

Section: Resultsmentioning

confidence: 99%

“…Actuator saturation can degrade the performance of closed‐loop systems and sometimes destabilize the system with external disturbance. Recently, the actuator saturation problems have been dealt with systematic methods such as antiwindup control method and direct control method . Concretely, authors considered the stability and control for the systems via applying the dead‐zone nonlinearity function .…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the actuator saturation problems have been dealt with systematic methods such as antiwindup control method and direct control method . Concretely, authors considered the stability and control for the systems via applying the dead‐zone nonlinearity function . Based on the convex combination approach, the dynamical behaviors of the systems subject to actuator saturation were analyzed in the works of Wang et al and Wu and Lian .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Exponential dissipativity analysis of discrete‐time switched memristive neural networks with actuator saturation via quasi‐time‐dependent control

Wang

Jiang

et al. 2018

Intl J Robust & Nonlinear

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Summary The dissipativity of discrete‐time switched memristive neural networks with actuator saturation is considered in this paper. By constructing a quasi‐time‐dependent Lyapunov function, sufficient conditions are obtained to guarantee the exponential stability and exponential dissipativity for the closed‐loop system with mode‐dependent average dwell time switching. Furthermore, the exponential H∞ performance of discrete‐time switched memristive neural networks is also analyzed, while the quasi‐time‐dependent controller and observer gains of the desired exponential dissipative and H∞ performance can be calculated from linear matrix inequalities. Finally, the effectiveness of theoretical results is illustrated through the numerical examples.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exponential dissipativity analysis of discrete‐time switched memristive neural networks with actuator saturation via quasi‐time‐dependent control

Wang

Jiang

et al. 2018

Intl J Robust & Nonlinear

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“…Now from Theorem 1, in order to conclude that the trajectories converge asymptotically to the origin provided that x.0/ 2 E.P /, we need to show that relations (16) and (17) are satisfied. By right-multiplying and left-multiplying (27) and (28)…”

Section: Proofmentioning

confidence: 99%

Sampled-data control under magnitude and rate saturating actuators

Palmeira

Silva

Tarbouriech

et al. 2016

Int. J. Robust. Nonlinear Control

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SUMMARYThis paper addresses the problems of stability analysis and stabilization of sampled-data control systems under magnitude and rate saturating actuators. A position-type feedback modeling for the actuator is considered. Based on the use of a quadratic Lyapunov function, a looped-functional, and generalized sector relations (to cope with nested saturation functions), LMI-based conditions are derived to assess local (regional) and global stability of the closed-loop systems under aperiodic sampling strategies and also to synthesize stabilizing sampled-data state feedback control laws. These conditions are then incorporated in convex optimization problems aiming at maximizing estimates of the region of attraction of the origin or maximizing the inter-sampling time for which the stability is ensured regionally or, when possible, globally.

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“…Zhao and Lin 26 dealt with the discrete-time counterpart of their other work. 25 Event-triggered control has been applied to systems subject to actuator saturation (see, for example, other works [27][28][29][30][31][32][33][34][35][36][37] ). In particular, global stabilization for neutrally stable linear systems with input saturation is achieved by event-triggered linear feedback laws in the work of Xie and Lin.…”

mentioning

confidence: 99%

Event‐triggered global leader‐following consensus of a group of neutrally stable linear systems subject to input saturation

Xie

Lin

2018

Intl J Robust & Nonlinear

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This paper studies the global leader-following consensus problem for a multiagent system using event-triggered linear feedback control laws. The leader agent is described by a neutrally stable linear system and the follower agents are also described by a neutrally stable linear system but with saturating input. Both the state-feedback case and the output-feedback case are considered. In each case, an event-triggered control law is constructed for each follower agent and an event-triggering strategy is designed for updating these control laws. These event-triggered control laws are shown to achieve global leader-following consensus when the communication topology among the follower agents is strongly connected and detailed balanced and the leader is a neighbor of at least one follower agent. The Zeno behavior is excluded. The theoretical results are illustrated by simulation.KEYWORDS event-triggered control, input saturation, leader-following consensus, multi-agent systems, output feedback INTRODUCTIONRecent years have witnessed an increasing number of works on event-triggered control, which evolves from traditional sampled-data control. In traditional sampled-data control, signals are sampled periodically. Later, aperiodic sampling is developed to deal with the case that the sampling intervals are uncertain or vary with time. There are many results on sampled-data control (see, for example, other works 1-3 ) and aperiodic sampling (see, for example, related works 4-6 ). Event-triggered control has the property of aperiodic sampling, where the state is sampled only when required, eg, the sampled error exceeding a threshold value. Event-triggered control has the advantages of reducing the unnecessary sampling and requiring fewer control updates than traditional sampled-data control. Much attention has been paid to event-triggered control and fruitful results have been obtained (see, for example, other works 7-11 ) Event-triggered control design for multi-agent systems has aroused much interest. Cooperative control of multi-agent systems (see, for example, related works 12-14 ) requires frequent updates of control input, which poses a great challenge to the controller design for systems with limited resources. Yang et al 15 proposed a decentralized event-triggered consensus controller for each agent to achieve consensus, where each agent has its own triggering instants. The Zeno behavior, infinitely many triggers in a finite time, is also excluded in the aforementioned work. 15 In the work of Fan et al, 16 distributed event-triggered voltage control strategy is developed for the reactive power sharing of a microgrid, which can significantly reduce the amount of communication for the microgrid.As one of the most common physical constraints in practical control systems, actuator saturation has drawn much attention over the past few decades. Many problems have been solved for systems with actuator saturation such as 3376

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Regional Stability Analysis of Discrete-Time Dynamic Output Feedback Under Aperiodic Sampling and Input Saturation

Cited by 40 publications

References 28 publications

Exponential dissipativity analysis of discrete‐time switched memristive neural networks with actuator saturation via quasi‐time‐dependent control

Exponential dissipativity analysis of discrete‐time switched memristive neural networks with actuator saturation via quasi‐time‐dependent control

Sampled-data control under magnitude and rate saturating actuators

Event‐triggered global leader‐following consensus of a group of neutrally stable linear systems subject to input saturation

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