Periodic Event-Triggered Suboptimal Control With Sampling Period and Performance Analysis

Luo, Biao; Huang, Tingwen; Liu, Derong

doi:10.1109/tcyb.2019.2909704

Cited by 39 publications

(20 citation statements)

References 39 publications

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“…It is clear that ||P|| = λ M (P) because of P = P T . Taking the time derivative of V 1 (t) along system (15) results in 17) and (18) obtains (20) and…”

Section: Stability Analysismentioning

confidence: 99%

Predictor-Based Periodic Event-Triggered Control for Dual-Rate Networked Control Systems With Disturbances

Sun

Yang

et al. 2022

IEEE Trans. Cybern.

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This paper considers the problem of periodic eventtriggered control design for dual-rate networked control system subject to non-vanishing disturbance. The plant considered in this paper is a kind of dual-rate networked control system, where sensor samples the measurement output at a slow-rate and actuator updates the control input at a fast-rate. Despite the slow-rate sampling of sensor, a new output predictor-based observer is proposed to accurately estimate system state and disturbance in the inter-sample time interval, and an active antidisturbance controller that updates at a fast-rate is accordingly proposed, such that the desirable control performance and disturbance rejection performance can be achieved. At each fastrate updating time instant, we use the prediction technique to generate a data packet including the computed current control input and the predicted values of the control inputs for the future finite steps, and design a new periodic event-triggered mechanism to determine whether to transmit the data packet via communication network or not. The proposed control method is easily implemented in digital platform since it has a discretetime form. To verify the effectiveness of the proposed control method, we finally present the simulation results of a practical speed control system.

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“…It is clear that ||P|| = λ M (P) because of P = P T . Taking the time derivative of V 1 (t) along system (15) results in 17) and (18) obtains (20) and…”

Section: Stability Analysismentioning

confidence: 99%

Predictor-Based Periodic Event-Triggered Control for Dual-Rate Networked Control Systems With Disturbances

Sun

Yang

et al. 2022

IEEE Trans. Cybern.

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show abstract

“…Significant work has also emerged in the field of ADP research, such as optimal regulation, [36][37][38][39][40] tracking control, [41][42][43] and robust control, [44][45][46] etc. [47][48][49][50] However, there is less work to combine IRL with event-triggered control, and some existing works are on optimal regulation, 39 robust control, 45 and non-zero-sum games. 47 To the best of our knowledge, it is found that the work of IRL-based event-triggered constrained optimal tracking control has not been carried out yet.…”

Section: Introductionmentioning

confidence: 99%

Adaptive dynamic programming‐based event‐triggered optimal tracking control

Xue

Luo

Liu

2021

Intl J Robust & Nonlinear

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In this article, an event-triggered constrained optimal tracking control algorithm using integral reinforcement learning (IRL) is developed. First, the constrained optimal tracking control problem is transformed into an optimal regulation problem by employing an augmented system with a discounted value function. Then, IRL is introduced to solve the Hamilton-Jacobi-Bellman equation, where the drift dynamics and reference dynamics are not required. The learning of neural network weights is event-triggered and there is no restriction on the initial control to be admissible. The involvement of event-triggering mechanism alleviates the pressure of data transmission on the network to some extent, which is suitable for control systems with limited computational and communication resources. Moreover, the nonexistence of Zeno behavior and the stability of the impulsive system are proved, respectively. Finally, the application of the algorithm on a mass-spring-damper system verifies its effectiveness.

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“…In contrast with the traditional continuous supervising event-triggered scheme (ETS), the periodic ETS may reduce more computation consume. [24][25][26] However, due to the characteristic of periodic ETS, the triggering condition might be satisfied before next sampling instant, 27 under which a question is how to deal with the deviation of state signals between the current instant and the previous sampling instant. Besides, whether may the known partitioning strategy be utilized to analyze the FTB over both the reaching and sliding phases, respectively?…”

Section: Introductionmentioning

confidence: 99%

“…The continuous state signals are first sampled periodically at a fixed period, and then, the discrete sampled signals are judged whether to be transmitted to the controller according to the pre‐designed triggering condition. In contrast with the traditional continuous supervising event‐triggered scheme (ETS), the periodic ETS may reduce more computation consume 24‐26 . However, due to the characteristic of periodic ETS, the triggering condition might be satisfied before next sampling instant, 27 under which a question is how to deal with the deviation of state signals between the current instant and the previous sampling instant.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time boundedness of sliding mode control under periodic event‐triggered strategy

Niu

Song

2020

Intl J Robust & Nonlinear

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This article investigates the problem of sliding mode control (SMC) for continuous-time systems under the requirement of finite-time boundedness (FTB), in which the state signals are periodically sampled and transmitted to the controller according to the pre-designed event-triggering condition. A key issue is how to utilize the less available state information to achieve the FTB of the closed-loop system. To this end, the continuous-time SMC law is changed into an implementable form dependent on the available sampled state via event triggering transmission. It is shown that the state trajectory of the controlled system can be driven onto the specified sliding surface before the given finite time, and then, remain within a domain around this sliding surface. Due to the characteristic of the periodic event-triggered scheme (ETS), the known partitioning strategy on the SMC with FTB is infeasible for this present case. Instead, we shall analyze the FTB of the closed-loop system over the whole given time, meanwhile, a selection condition on the robust term is given via the given time parameter. Finally, the numerical simulation results are provided to illustrate the proposed periodical event-triggered SMC scheme. K E Y W O R D S event-triggering mechanism, finite time boundedness, periodic sample, sliding mode control

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Periodic Event-Triggered Suboptimal Control With Sampling Period and Performance Analysis

Cited by 39 publications

References 39 publications

Predictor-Based Periodic Event-Triggered Control for Dual-Rate Networked Control Systems With Disturbances

Predictor-Based Periodic Event-Triggered Control for Dual-Rate Networked Control Systems With Disturbances

Adaptive dynamic programming‐based event‐triggered optimal tracking control

Finite‐time boundedness of sliding mode control under periodic event‐triggered strategy

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