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Adaptive neural control of nonlinear periodic time-varying parameterized mixed-order multi-agent systems with unknown control coefficients

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Science China(Technological Sciences) 2022年第8期65卷 1675-1684页

作者： CHEN JiaXi CHEN WeiSheng LI JunMin ZHANG Shuai School of Mathematics and Statistics Xidian UniversityXi’an 710071China School of Aerospace Science and Technology Xidian UniversityXi’an 710071China Science and Technology on Antennas and Microwave Laboratory Xidian UniversityXi’an 710071China

In this paper, we first consider the adaptive leader-following consensus problem for a class of nonlinear parameterized mixedorder multi-agent systems with unknown control coefficients and time-varying disturbance parameters of the same period. Neural networks and Fourier series expansions are used to describe the unknown nonlinear periodic time-varying parameterized function.A distributed control protocol is designed based on adaptive control, matrix theory, and Nussbaum function. The robustness of the distributed control protocol is analyzed by combining the stability analysis theory of closed-loop systems. On this basis, this paper discusses the case of time-varying disturbance parameters with non-identical periods, expanding the application scope of this control protocol. Finally, the effectiveness of the algorithm is verified by a simulation example.

关键词： adaptive neural control unknown control coefficients mixed-order multi-agent systems periodic time-varying disturbances nonlinearly parameterized dynamics

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维普期刊数据库

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Robust integral control for a class of nonlinear systems with unknown control coefficients

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控制理论与应用（英文版） 2012年第3期10卷 359-364页

作者： Jiangbo YU Yah ZHAO Yuqiang WU School of Automation Southeast University Nanjing Jiangsu 210096 China Institute of Automation Qufu Normal University Qufu Shandong 273165 China

The robust integral control problem is studied for a class of nonlinear systems with input-to-state stable （ISS） unmodeled dynamics in this paper. It does not require a priori knowledge of the control coefficients. Combining the Nussbaum-type gain technique and the backstepping design, we propose a state feedback controller, which could achieve the global asymptotic tracking for any constant reference signal, irrespective of the unmeasured dynamic disturbance. It is shown that the proposed methodology further extends the existing robust nonlinear integral control results. Simulation results verify the correctness of the theoretical analysis.

关键词： Nonlinear systems ISS Dynamic uncertainty unknown control coefficients Set-point tracking

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维普期刊数据库

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Distributed Consensus with unknown control coefficients and unknown Lipschitz Nonlinearity

Distributed Consensus with Unknown Control Coefficients and ...

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第36届中国控制会议

作者： FAN Ming-Can School of Mathematics and Big Data Huizhou University

ISBN: (纸本)9781538629185

This paper deals with the leader-following consensus problem for a class of second-order multi-agent systems with unknown Lipschitz nonlinear ***,the control coefficients are assumed to be identical and bounded but *** Nussbaum gain function technique is employed to deal with unknown the control *** is proved that the states of the multi-agent systems can achieve consensus by virtue of algebraic graph theory,Barbalat’s lemma and Lyapunov theory,under the assumption that the interconnection topology is undirected and ***,simulation examples are provided to illustrate the effectiveness of the proposed algorithm.

关键词： Multi-agent Systems unknown control coefficients unknown Lipschitz Nonlinearity Nussbaum Gain Function

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Adaptive Neural Network control of Nonlinear MIMO Systems with Unmeasured States and unknown control coefficients

Adaptive Neural Network Control of Nonlinear MIMO Systems wi...

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第40届中国控制会议

作者： Sanxia Wang Linqi Wang Wenjing Yang Xueliang Wang Jianwei Xia School of Mathematics Science Liaocheng University

This paper develops an adaptive neural network tracking control scheme for a class of nonlinear multi input and multi output uncertain systems with unmeasured states and unknown control coefficients. In the control scheme, a neural state observer is established to estimate the unmeasured states and Nussbaum function is introduced to compensate the influence of the unknown control coefficients. Meanwhile, the neural network technique is used to approximate the combinational uncertainties at each step of backstepping process. It is proved that the outputs of the system to track the target trajectory within a compact set and all signals of the closed-loop system are bounded. Finally, a simulation example is provided to show the effectiveness of the proposed control method.

关键词： Adaptive neural network control nonlinear multi input and multi output uncertain systems unknown control coefficients unmeasured states

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State-Feedback Adaptive Stabilizing control Design for a Class of High-Order Nonlinear Systems with unknown control coefficients

State-Feedback Adaptive Stabilizing Control Design for a Cla...

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第25届中国控制会议

作者： Sun Zongyao,Liu Yungang School of control Science and Engineering,Shandong University,Jinan 250061

＜正＞In this paper,a new approach is successfully addressed to design the state-feedback adaptive stabilizing control law for a class of high-order nonlinear systems in triangular form and with unknown and nonidentical control coefficients , whose stabilizing control has been investigated recently under the knowledge that the lower bounds of the control coefficients are exactly known. In the present paper, without any knowledge of the lower bounds of the control coefficients, based on the adaptive technique and appropriately choosing design parameters, we give the recursive design procedure of the stabilizing control law by utilizing the approach of adding a power integrator together with tuning functions. The state-feedback adaptive control law designed not only preserves the equilibrium at the origin,but also guarantees the globally asymptotic stability of the closed-loop states and the uniform boundedness of all the other closedloop signals.

关键词： High-order nonlinear systems unknown control coefficients State-feedback adaptive stabilizing control Adding a power integrator Tuning functions

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Consensus of stochastic multi-agent systems with unknown nonlinearities and unknown control coefficients

Consensus of stochastic multi-agent systems with unknown non...

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第36届中国控制会议

作者： Niu Xinglong Liu Yungang Fengzhong Li School of control Science and Engineering Shandong University

ISBN: (纸本)9781538629185

This paper investigates the consensus for a class of first-order stochastic nonlinear multi-agent systems. Different from the related results, the systems allow serious unknown control coefficients and parametric unknowns in nonlinearities. To compensate the serious unknowns, a distributed time-varying consensus protocol is proposed. The key of the proposed protocol is to introduce a time-varying gain which is used to capture the serious unknowns as time increases. Based on the protocol, the almost sure consensus is achieved for the multi-agent systems under strongly connected graph. A simulation example is finally provided to verify the effectiveness of the theoretical results.

关键词： Stochastic multi-agent systems unknown nonlinearities unknown control coefficients almost sure consensus time-varying feedback

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A new approach to adaptive control design without overparametrization for a class of uncertain nonlinear systems

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Science China(Information Sciences) 2011年第7期54卷 1419-1429页

作者： ZHANG Jian & LIU YunGang School of control Science and Engineering,Shandong University,Jinan 250061,China School of control Science and Engineering Shandong University Jinan China

This paper considers the globally stabilizing adaptive controller design for a class of more general uncertain high-order nonlinear systems with unknown control *** the existing literature has solved the problem,for n-dimensional systems,the existing methods need at least n + 1 dynamic updating laws for the unknown parameters to construct the stabilizing adaptive controller;that is,the dimension of the dynamic compensator is not less than n + 1,and therefore,there exists serious *** this paper,by defining some new unknown parameters which need dynamic updating,also by using adding a power integrator and related adaptive technique,the overparametrization is successfully solved and a new approach is given to design stabilizing adaptive controller based on only one parameter updating law.A simulation example is finally provided to demonstrate the validness of the proposed approach.

关键词： high-order nonlinear systems unknown control coefficients overparametrization stabilizing con- trol design adding a power integrator adaptive technique

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Semiglobal Finite-time Stabilization via Output-feedback for a Class of High-order Uncertain Nonlinear Systems

Semiglobal Finite-time Stabilization via Output-feedback for...

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第36届中国控制会议

作者： Mengliang Liu Wei Feng School of Information Science and Engineering Shandong Agricultural University

ISBN: (纸本)9781538629185

This paper is devoted to the semiglobal finite-time stabilization via output-feedback for a class of high-order uncertain nonlinear systems. This problem can hardly be solved by the existing schemes, mainly since the systems under investigation contain unknown control coefficients which are dominated by the known functions of system states, and possess more serious nonlinearities which allow arbitrary-high-order growing unmeasurable states. However, for the global case, the system unknown control coefficients should be dominated by the known functions of output and the system nonlinearities merely allow homogeneous-order growing unmeasurable states, and therefore our semiglobal objective significantly weakens the restrictions on the control coefficients and the nonlinearities of the systems. In this paper, with the assumption that all the system states are available for feedback, a state-feedback controller is first constructed by adding a power integrator, which ensures that the closedloop system is globally finite-time stable. Then, by certainty equivalence principle and saturation technique, an output-feedback controller is successfully constructed, which makes the closed-loop system semiglobal attractive and local finite-time stable. A simulation example is presented to illustrate the effectiveness of the proposed method.

关键词： Nonlinear Systems unknown control coefficients Semiglobal Finite-time Stabilization Output-feedback

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Adaptive Stabilization for A More General Class of High-Order Uncertain Nonlinear Systems

Adaptive Stabilization for A More General Class of High-Orde...

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第二十七届中国控制会议

作者： Sun Zongyao,Liu Yungang School of control Science and Engineering,Shandong University,Jinan 250061,P.R.China

The problem of global adaptive stabilization by state-feedback is investigated for a class of high-order nonlinear systems with uncertain control coefficients and unmeasurable zero ***,some appropriate unknown parameters are introduced to obtain the updating laws which are necessary parts in adaptive ***,by the flexible way of combing adding a power integrator with adaptive technique and the idea of changing supply functions,the requirement on the unknown control coefficients is relaxed,and a recursive design procedure is successfully developed to achieve a continuous adaptive stabilizing controller.

关键词： Adding a power integrator unknown control coefficients Zero dynamics Adaptive stabilization

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