Adaptive dynamic surface control of high-order strict feedback nonlinear systems with parameter estimations

In this paper, the adaptive tracking control problem is investigated for the multiagent systems with event‐triggered (ET) communication and asymmetric input saturation. By adopting an auxiliary system, the problem of asymmetric input saturation is successfully handled. Two ET mechanisms are employed in the controller‐to‐actuator channel and communication channel respectively to economize the limited communication resources. The update frequency of the controller can be reduced by devising a novel switching ET mechanism, which can unify the three existing ET schemes. Based on a backstepping technique, a distributed ET controller is devised, which only requires the sampled value of neighboring states. Due to the discontinuity of the ET state signals, the repetitive differentiation of virtual control laws will not be computed. To solve this problem, the predesigned differentiable partial derivatives of virtual control laws are used to construct the ET virtual control laws. By applying the Lyapunov stability method, it is proved that the desired tracking performance and the stability of the closed‐loop system can be guaranteed. Finally, a simulation example demonstrates that the proposed control strategy is effective.

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“…Remark To deal with the problem of unknown nonlinear [35–40], some fuzzy logic systems or RBF NNs methods have been studied in [41–49]. Although

{\overline{h}}_i&amp;#x0003D;{h}_i&amp;#x0002B;{\dot{\tilde{\varsigma}}}_{i,n}

is approximated by NN, the term

{\dot{\tilde{\varsigma}}}_{i,n}

can be proved to be bounded in subsequent analysis, which will play an important role to guarantee that Zeno phenomenon is prevented.…”

Section: Resultsmentioning

confidence: 99%

Adaptive tracking control for multiagent systems with event‐triggered communication and asymmetric input saturation

Yang

Cao

Pan

et al. 2023

Asian Journal of Control

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“…Future research topics will include (1) the resilient event-triggered security control; [41][42][43] (2) attack detection and defense with joint cyber-attacks; 44 and (3) the security issue for more general systems (such as nonlinear or uncertainty and sensor networks). [45][46][47]…”

Section: Discussionmentioning

confidence: 99%

“…It is worth pointing out that this paper is the first attempt to analyze the impact of different replay attack strategies on system performance through simulation experiments. Future research topics will include (1) the resilient event‐triggered security control; 41‐43 (2) attack detection and defense with joint cyber‐attacks; 44 and (3) the security issue for more general systems (such as nonlinear or uncertainty and sensor networks) 45‐47 …”

Section: Discussionmentioning

confidence: 99%

Observer‐based security control for distributed cyber‐physical systems under replay attacks

Xiao

Lin

et al. 2023

Intl J Robust & Nonlinear

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This paper considers the security control problem over a finite horizon for distributed cyber-physical systems (CPSs) under replay attacks and switching topologies. A more reasonable attack model is established to describe the randomly occurring replay attacks, where the measurement information is maliciously replaced by previous unnecessary information. Under the Markovian switching communication network, a distributed observer-based H ∞ control protocol is developed to mitigate the influence on system performance resulting from disturbances and replay attacks. Then, by using recursive linear matrix inequality method and stochastic analysis technique, two sufficient conditions are derived to ensure the consensus of the closed-loop system while satisfying the prescribed H ∞ performance index. Gain matrices of observer and controller are derived by resorting to the matrices inequalities that are reality solvable. Finally, simulated examples are presented to compare the control performance under different attack strategies, and explore the relationship between the number of consecutive attacks and the performance index.

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“…For the last couple of decades, a great deal of research has been done on addressing the optimal control problem for linear and nonlinear systems [4][5][6][7][8][9][10][11][12][13]. The sufficient condition for the existence of optimality is given by seeking the solution of the Hamilton-Jacobi-Bellman (HJB) equation.…”

Section: Introductionmentioning

confidence: 99%

“…In order to process the intractable nonlinear models of physical systems, Li et al [9] studied an efficient optimal control scheme to settle the status unmeasured problem of nonlinear systems. Besides, optimal control is extended to a series of more complex nonlinear systems including switched systems [5], stochastic systems [10], and strict-feedback systems [6,8].…”

Section: Introductionmentioning

confidence: 99%

Finite‐time optimal tracking control for a class of nonlinear systems with prescribed performance

Wang

Liu

et al. 2023

Asian Journal of Control

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In this paper, a finite‐time optimal tracking control scheme based on integral reinforcement learning is developed for partially unknown nonlinear systems. In order to realize the prescribed performance, the original system is transformed into an equivalent unconstrained system so as to a composite system is constructed. Subsequently, a modified nonlinear quadratic performance function containing the auxiliary tracking error is designed. Furthermore, the technique of experience replay is used to update the critic neural network, which eliminates the persistent of excitation condition in traditional optimal methods. By combining the prescribed performance control with the finite‐time optimization control technique, the tracking error is driven to a desired performance in finite time. Consequently, it has been shown that all signals in the partially unknown nonlinear system are semiglobally practical finite‐time stable by stability analysis. Finally, the provided comparative simulation results verify the effectiveness of the developed control scheme.

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Adaptive dynamic surface control of high-order strict feedback nonlinear systems with parameter estimations

Cited by 31 publications

References 6 publications

Adaptive tracking control for multiagent systems with event‐triggered communication and asymmetric input saturation

Adaptive tracking control for multiagent systems with event‐triggered communication and asymmetric input saturation

Observer‐based security control for distributed cyber‐physical systems under replay attacks

Finite‐time optimal tracking control for a class of nonlinear systems with prescribed performance

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