Optimal Tracking Performance Analysis of MIMO Control Systems Under Multiple Constraints

Self Cite

The performance limitation analysis of networked control systems (NCSs) with denial‐of‐service (DoS) attacks and external disturbances is studied in this paper. An optimal control strategy is proposed to solve the problem of performance limitation, and also an intrusion detection system (IDS) method is used to detect DoS attacks, so that DoS attacks have the least impact on NCSs. A non‐cooperative game model between IDS and DoS attackers is established, and the optimal packet delivery rate of NCSs is obtained by solving the Nash equilibrium (NE) strategy of the non‐cooperative game. An appropriate Lyapunov function is selected, and the accuracy of the definition is proved by the dynamic programming and mathematical induction. The derived results show that the performance limitation of NCSs is influenced by traditional constraints, DoS attacks, and external disturbances. Finally, some examples are given to show the effectiveness of the obtained theoretical results.

“…The optimal tracking performance of this paper is represented by J ∗ , which achieved by all stabilizing controller set

scriptC

, then, J ∗ is denoted as [22]:

J^{*} = \inf_{K \in C} J,

where K means controller,

J = 𝔼 ({}, J_{1} + \sum_{k = 0}^{N - 1} ((), J_{2} + J_{3} - J_{4}))

with

J_{1} = x^{T} false(N false) Q false(N false) x false(N false), J_{2} = x^{T} false(k false) Q false(k false) x false(k false), J_{3} = α false(k false) u^{T} false(k false) R false(k false) u false(k false), J_{4} = {normalΥ}^{2} ω^{T} false(k false) ω false(k false)

.…”

Section: Problem Formulationsmentioning

confidence: 99%

“…The optimal tracking performance of this paper is represented by J * , which achieved by all stabilizing controller set , then, J * is denoted as [22]:…”

Section: Ncss Modelmentioning

confidence: 99%

See 1 more Smart Citation

Performance limitation analysis of networked control systems under denial‐of‐service attacks

Cheng

Yan

Zhan

et al. 2022

Self Cite

“…Network constraints such as packet dropouts [15], time delay [16], bandwidth [17], quantization [18], and channel noise [19] can cause missing information in the network channel. Therefore, nowadays, there are more and more studies [20][21][22] for NCS under incomplete information. Two main aspects of these studies include stability studies and performance studies of NCS, respectively.…”

Section: Introductionmentioning

confidence: 99%

Optimal regulation performance of discrete time‐delay systems based on quantization and input energy constraints

Yang

Zhan

et al. 2023

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In this paper, we study the optimal regulation problem of networked control systems and propose a new performance index for a given discrete time‐delay system. The regulation performance of the controlled plant is investigated by considering the effects of various constraints on the communication channel such as quantization, bandwidth, and packet dropouts using frequency domain methods and two‐degree‐of‐freedom control techniques. The results show that the regulation performance is not only related to the location and direction of the non‐minimum phase zeros and unstable poles of a given system but also related to the internal time delay of the controlled plant. Packet dropouts, quantization, and bandwidth limitations can also negatively affect the optimal performance. In addition, the trade‐off of the input energy constraint can also make the optimal regulation performance suffer. Finally, the reliability of this innovative result is illustrated by some simulation examples.

“…Packet loss also occurs during data transmission in NCSs; in earlier studies [28][29][30], the authors modeling the feedback channel with packet loss as an erasure channel and the impact of packet loss on the system OTP are investigated. The OTP of linear and time-invariant (LTI) system under multiconstraint conditions is studied in Cheng et al [31]. In Wang et al [32], the trade-off performance of LTI system considering colored noise and codec strategy is studied.…”

Section: Introductionmentioning

confidence: 99%

Optimal tracking performance of network time‐delay systems with multiple constraints

Du,

Yang,

Zhan

et al. 2023

Self Cite

This paper investigates the optimal tracking performance based on the codec, colored noise, and bandwidth constraints in the network time‐delay systems. Choosing the optimal two‐degree‐of‐freedom compensator and the dominant expression of the system optimal tracking performance is obtained after Youla parameterization by using the coprime factorizations method and spectral decomposition technology. The result shows that the tracking performance of the system is determined by the nonminimum phase zero and unstable pole of the controlled plant. Moreover, codec, colored noise, and bandwidth constraints can also significantly impact the performance. Finally, two simulation examples prove the accuracy of the theory.