Prescribed Performance Cooperative Control for Multiagent Systems With Input Quantization

Liang, Hongjing; Zhang, Yanhui; Huang, Tingwen; Ma, Hui

doi:10.1109/tcyb.2019.2893645

Cited by 278 publications

(98 citation statements)

References 48 publications

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“…with σ (A 0 ) ⊂ jR, then the output regulation issue can be addressed by the hybrid feedback controller (6).…”

Section: Resultsmentioning

confidence: 99%

“…In order to solve this problem, many researchers regard industrial subsystems as agents, thus the industrial systems can be considered as multi-agent systems (MASs). The cooperative control of MASs has attracted great attention and has been applied in many fields, such as smart grid, vehicle systems, sensor networks, and mobile robots [3][4][5][6]. Due to the uncertainties, complexity, diversity and instability of MASs, output regulation has become an important and challenging direction in cooperative control [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Full-order observer-based output regulation for linear heterogeneous multi-agent systems under switching topology

Cai¹,

He²,

Duan³

et al. 2019

AIS

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This study addressed the output regulation issue of linear heterogeneous multi-agent systems under switching topology. All agents excluding the external system are divided into two groups with measurable agents or unmeasurable agents. The agents' states in the first group can be available for measurement while the agents' states in the second group are unmeasurable. For the second group, a full-order Luenberger observer is devised to recover these agents' states. Moreover, there are some agents that can not receive the information from the exosystem directly, thus, a dynamic compensator is constructed for these agents. Based on the proposed observer and compensator, a hybrid feedback control strategy is put forward to settle the output regulation issue. Furthermore, the information interaction among agents is expressed by the switching topology, and the topology is assumed to be jointly connected. Finally, two numerical examples are given to illustrate the feasibility of the theoretical results. The results show that whether the states are measurable or not, the proposed control strategy can address the output regulation issue of linear heterogeneous MASs under switching topology. Moreover, the comparative experiment indicates that our method obtains superior performance in terms of convergence speed, and is more efficient in dealing with practical problems.

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“…with σ (A 0 ) ⊂ jR, then the output regulation issue can be addressed by the hybrid feedback controller (6).…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Full-order observer-based output regulation for linear heterogeneous multi-agent systems under switching topology

Cai¹,

He²,

Duan³

et al. 2019

AIS

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show abstract

“…Remark Compared with the previous works, the overparametrization issue cannot be handled, which virtually increases the computational burden. In another aspect, the adaptive functions in References and that need to be adjusted online are up to n i for each subsystem, but in this paper, the number of online tuning adaptive parameters has been reduced to two, thus the computation burden is significantly reduced and the algorithm is easily realized in practice.…”

Section: Controller Design and Stability Analysismentioning

confidence: 99%

“…The primary advantages of this study are listed as follows: A new Nussbaum‐based adaptive fuzzy controller is devised for the nonstrict‐feedback MIMO nonlinear systems, where constrained states, the unknown control direction, and quantized input are synchronously taken into account in the whole time domain, which is more comprehensive than some subsistent results. Combining with the monotonic increasing property of bounded functions, a modified partition of variables method is given to solve the difficulty of nonstrict‐feedback system form. Although the previous works solved the problem arising from nonstrict‐feedback structure, the issues of full state constraints and unknown control direction have not been considered, and their results cannot be directly applied to our study. In some existing results, the issues of overparametrization existing in backstepping control design have been omitted. Unlike them, the issues of overparametrization are offset by constructing two compensation functions, and symmetric barrier Lyapunov functions (SBLFs) are devised to confine all the system states to predefined ranges. …”

Section: Introductionmentioning

confidence: 99%

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Pan

Chadli

et al. 2020

Intl J Robust & Nonlinear

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This paper studies the problem of adaptive fuzzy asymptotic tracking control for multiple input multiple output nonlinear systems in nonstrict-feedback form.Full state constraints, input quantization, and unknown control direction are simultaneously considered in the systems. By using the fuzzy logic systems, the unknown nonlinear functions are identified. A modified partition of variables is introduced to handle the difficulty caused by nonstrict-feedback structure. In each step of the backstepping design, the symmetric barrier Lyapunov functions are designed to avoid the breach of the state constraints, and the issues of overparametrization and unknown control direction are settled via introducing two compensation functions and the property of Nussbaum function, respectively. Furthermore, an adaptive fuzzy asymptotic tracking control strategy is raised.Based on Lyapunov stability analysis, the developed control strategy can effectually ensure that all the system variables are bounded, and the tracking errors asymptotically converge to zero. Eventually, simulation results are supplied to verify the feasibility of the proposed scheme. K E Y W O R D Sadaptive fuzzy control, asymptotic tracking control, nonstrict-feedback system, state constraints, unknown control direction INTRODUCTIONOn account of the extensively practical applications, studies on adaptive trajectory tracking control design for uncertain nonlinear systems have made a major breakthrough, such as adaptive control, 1-3 sliding mode control, 4-6 robust control, 7-9 fault tolerant control, 10,11 and so on. In addition, backstepping-based adaptive neural control 12-18 and fuzzy control [19][20][21][22][23][24][25][26][27][28][29][30] for nonlinear systems have been well studied in the past few years, in which fuzzy logic systems (FLSs) or neural networks (NNs) were viewed as universal approximators to identify the uncertain system nonlinearities, and then, an adaptive controller was designed by combining with the backstepping technique. Cite several examples, based on FLS's online approximation capability, a new adaptive fuzzy control scheme was presented in Reference 20. Tong et al citebib21 established a fuzzy state observer and proposed a decentralized adaptive fuzzy optimal control approach for nonlinear large-scale systems. In Reference 22, the fuzzy adaptive output feedback controller was constructed for strict-feedback nonlinear systems, where the problem of virtual control coefficients was well handled by using a convex combination technique. Int J Robust Nonlinear Control. 2020;30:3365-3381. wileyonlinelibrary.com/journal/rnc

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“…The output constraint can also be regarded as a partial state constraint in many cases. The authors in [26] proposed an adaptive distributed control law using the Barrier Lyapunov functions (BLFs) and a new speed function to ensure that every error vector converges to a predefined compact set in a finite time. Presently, the main method to overcome the state constraint issues is the BLF-based adaptive control method.…”

Section: Introductionmentioning

confidence: 99%

Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems

Liu

Chen

Tong

et al. 2020

Sci. China Inf. Sci.

366

147

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This paper presents an adaptive control method for a class of uncertain strict-feedback switched nonlinear systems. First, we consider the constraint characteristics in the switched nonlinear systems to ensure that all states in switched systems do not violate the constraint ranges. Second, we design the controller based on the backstepping technique, while integral Barrier Lyapunov functions (iBLFs) are adopted to solve the full state constraint problems in each step in order to realize the direct constraints on state variables. Furthermore, we introduce the Lyapunov stability theory to demonstrate that the adaptive controller achieves the desired control goals. Finally, we perform a numerical simulation, which further verifies the significance and feasibility of the presented control scheme.

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Prescribed Performance Cooperative Control for Multiagent Systems With Input Quantization

Cited by 278 publications

References 48 publications

Full-order observer-based output regulation for linear heterogeneous multi-agent systems under switching topology

Full-order observer-based output regulation for linear heterogeneous multi-agent systems under switching topology

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems

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