A novel triggering condition of event‐triggered control based on heuristic dynamic programming for discrete‐time systems

Summary This paper studies the event‐triggered H∞ control for synchronization of networked switched master‐slave systems under external disturbance, stochastic attacks, and quantization. With the proposed event‐triggering schemes, the communication frequency and data packets can be effectively regulated and reduced. To reduce further the burden of network transmission, the quantized control is applied. Moreover, the network transmission delay and the stochastic cyberattacks are concerned. In addition, the synchronization problem between switched master systems and switched slave systems is transformed into a stability problem of switched error systems. By adopting multiple Lyapunov functions and average dwell time method, sufficient conditions are constructed to assure the mean‐square exponential stability with H∞ performance of the switched error systems. Meanwhile, the stagger between data switching instants and triggering instants is discussed in the system in detail. Accordingly, the controller gains and event‐triggering parameters are obtained utilizing a set of linear matrix inequalities. Finally, a numerical simulation and a practical example are illustrated to demonstrate the effectiveness of the presented method.

“…Suppose 0 = l 0 < l 1 < … < l q = t N (0, t) < t, where l 0 , l 1 , … , l q are switching instants. From (30) and (32), it can be yielded that…”

Section: Case 2: the Switching Intervalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Liu

Qiu

et al. 2020

“…Dual‐heuristic programming (DHP) is a kind of ADP, which is suitable for complex nonlinear systems with high control precision and can obtain the optimal control law by off‐line iteration 14,15 . Therefore, in this paper, we combine DHP with EPB shield to solve the earth pressure optimal control problem during the shield tunneling process, and a multi‐variable optimal control method for the earth pressure balance in chamber based on data‐driven method is proposed.…”

Section: Introductionmentioning

confidence: 99%

Optimal control of earth pressure balance of shield tunneling machine based on dual‐heuristic dynamic programming

Liu

Shao

2020

Summary Earth pressure balance (EPB) shield tunneling machine has been widely used in underground construction. To avoid the catastrophic accidents caused by earth pressure imbalance, the earth pressure on excavation face must be controlled balance to that in chamber. To solve this problem better, a multi‐variable data‐driven optimal control method for shield machine based on dual‐heuristic programming (DHP) is proposed. The DHP controller is constructed with action network, model network, and critic network based on back‐propagation neural networks (BPNNs). Following Bellman's principle of optimality, a cost function of DHP controller for the chamber's earth pressure is presented, which simplifies a multi‐level optimization to a single‐level optimization. To minimize the cost function, the action network utilizes the critic network's error to achieve multi‐variable optimization, and the optimal control parameters for the tunneling process are obtained at last. The simulation results show that the method can effectively control the earth pressure balance. Even in case of disturbance, the system has strong anti‐interference ability and the control process is also quicker and steadier.

“…These constraints lead to performance degradation or even destabilizing NCS. For reducing the network workload, the ET mechanism has been proposed . In the conventional/continuous ET control, the sampling time is executed after an event, which is generated by some state or/and input dependent condition, whereas, in periodic sampled‐data control, it is a fixed value.…”

Section: Introductionmentioning

confidence: 99%

Quantized event‐triggered H_∞ control of linear networked systems with time‐varying delays and packet losses

Soltaninejad

Ghiasi

Ghaemi

et al. 2019

This paper studies the event-triggered (ET) H ∞ control of linear networked systems based on static output-feedback. An emulation-based stabilization of the networked system is investigated under the constraints such as (i) quantizations, (ii) network-induced delays, (iii) external disturbances, and (iv) packet losses. In particular, output measurement and control input quantizations, lower and upper bounds of the network-induced delays, bounded external disturbances, and packet losses are carefully taken into account. The process of stability analysis has three steps. In the first step, a quantized ET control is defined, and then three sector-bound methods for logarithmic quantization are formulated. In the second step, the ET-mechanism is described with an input delay model. Based on the model, for two approaches, namely, switching-ET and periodic-ET, the criteria for the exponential stability and L 2 -gain analysis of perturbed networked system are established, respectively. In the third step, a constraint for packet loss effect is provided. In summary, the stability analysis is based on linear matrix inequalities (LMIs) through a Lyapunov-Krasovskii functional method. Finally, the simulation results are given to evaluate the validation of the analysis using two benchmark examples. KEYWORDS event-triggered H ∞ control, network-induced delay, packet loss (dropout), periodic and switching approach, quantization A networked control system (NCS) is a setup including nodes that interact over a signal transaction network for its coordinated operation. With the fast development of Internet, types of wireless communication equipment, and new control schemes, NCSs have been recently paid much attention by researchers. 1,2 Such systems have found many applications in various areas of engineering, including (i) remote control of distributed or non-co-located modern industrial systems such as tele-surgery, tele-operated haptic systems, and tele-robotics, 3 especially remote controlled robots in harmful areas, for instance, nuclear locations, or space, (ii) power systems and smart grids, 4 (iii) multiagent systems, 5 and (iv) vehicle industry and modern automobile. 6 Despite the merits of networks such as flexibility, reduced wireline, easy installation, and low maintenance costs, the possible constraints include limited channel bandwidth, time delay, variable sampling and release intervals, quantization, and packet loss. These constraints lead to performance degradation or even destabilizing NCS. For reducing the network workload, the ET mechanism has been proposed. 1,[7][8][9] In the conventional/continuous ET control, the sampling time is executed after an event, which is generated by some state or/and input dependent condition, whereas, in periodic Optim Control Appl Meth. 2020;41:327-348.wileyonlinelibrary.com/journal/oca