Decentralised adaptive robust control of uncertain large-scale non-linear dynamical systems with time-varying delays

Wu, Hansheng

doi:10.1049/iet-cta.2011.0015

Cited by 44 publications

(44 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, this fact is true for a large class of systems, particularly mechanical systems, environmental systems, ecological systems, and so on. Therefore, such a class of uncertain dynamical systems has been widely considered in the control literature (see, e.g., Chou & Cheng, 2003;Mahmoud, 2009;Wu, 1996Wu, , 1999Wu, , 2002Wu, , 2012aWu, , 2012b; for large-scale interconnected systems).…”

Section: Assumption 21: All Pairsmentioning

confidence: 99%

“…In fact, the condition given in Assumption 2.3 is necessary for robust stability problems of uncertain dynamical systems (see, e.g., Choi & Kim, 1993;Wu, 2004Wu, , 2005Wu, , 2008Wu, , 2012aWu, , 2012b; and the references relative to robust stabilisation of uncertain dynamical systems).…”

Section: Remark 22mentioning

confidence: 99%

“…In particular, when the upper bounds of delayed state perturbations, uncertainties, external disturbances, and interconnection terms are assumed to be unknown, some adaptive schemes should be introduced to update these unknown upper bounds to construct some types of decentralised robust controllers which are called generally decentralised adaptive robust controllers (see, e.g., Chou & Cheng, 2003;Mirkin & Gutman, 2003;Wu, 2002Wu, , 2005Wu, , 2008Wu, , 2012aWu, , 2012band references therein). In Wu (2002), for example, the problem of decentralised adaptive robust control is considered for a class of uncertain largescale interconnected time-delay systems, and the proposed 2 H. Wu decentralised adaptive robust controllers can guarantee its ultimate boundedness.…”

Section: Introductionmentioning

confidence: 99%

“…In Wu (2005), the problem of decentralised robust control is considered for a class of large-scale time-varying systems with delayed state perturbations and external disturbances in the interconnections, and the nonlinear decentralised robust state feedback controllers are proposed which can guarantee the uniform asymptotic stability of the systems. In Wu (2012aWu ( , 2012b, the problem of decentralised adaptive robust stabilisation is considered for a class of uncertain linear (or nonlinear) large-scale interconnected systems with timevarying delays, and a method is presented whereby a class of continuous memoryless decentralised local adaptive robust state feedback controllers, with a rather simple structure, is proposed. It is also interesting to note that, in Dong, Xia, Shi, and Zhong (2013), some practical consensus problems are considered for general high-order linear time-invariant swarm systems with interconnected uncertainties and timevarying external disturbances, and a dynamic consensus protocol with time-varying delays is adopted to deal with the practical consensus problem, which can be regarded as an uncertain large-scale interconnected time-delay system.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

2015

International Journal of Systems Science

View full text Add to dashboard Cite

The problem of decentralised robust stabilisation is considered for a class of uncertain large-scale time-delay interconnected dynamical systems. In the paper, the upper bounds of delayed state perturbations, uncertainties, interconnection terms, and external disturbances are assumed to be completely unknown, and the delays are assumed to be any non-negative constants. For such a class of uncertain large-scale time-delay interconnected systems, a new method is presented whereby a class of adaptation-free decentralised local robust state feedback controllers can be constructed. In addition, it is also shown that the solutions of uncertain large-scale time-delay interconnected systems can be guaranteed to be uniformly ultimately bounded. Finally, as an application to the practical mechanical systems, some simulations of a numerical example are provided to demonstrate the validity of the theoretical results.

show abstract

Section: Assumption 21: All Pairsmentioning

confidence: 99%

Section: Remark 22mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

2015

International Journal of Systems Science

View full text Add to dashboard Cite

show abstract

“…The existence of time delay usually leads to poor performances and often causes instability (see e. g., [2,3,4,5,6]). Therefore the problem of decentralised state feedback or output feedback stabilization of large-scale time-delay systems has received considerable attention (see e. g., [14,19,20,21,24,25]). …”

Section: Introductionmentioning

confidence: 99%

Output feedback regulation for large-scale uncertain nonlinear systems with time delays

Liu¹,

Yu²,

Zhang³

2015

Kybernetika

View full text Add to dashboard Cite

Decentralized adaptive control of nonlinear large‐scale pure‐feedback interconnected systems with time‐varying delays

Zhang

2013

Adaptive Control & Signal

View full text Add to dashboard Cite

In this paper, an adaptive decentralized neural control problem is addressed for a class of pure-feedback interconnected system with unknown time-varying delays in outputs interconnections. By taking advantage of implicit function theorem and the mean-value theorem, the difficulty from the pure-feedback form is overcome. Under a wild assumption that the nonlinear interconnections are assumed to be bounded by unknown nonlinear functions with outputs, the difficulties from unknown interconnections are dealt with, by introducing continuous packaged functions and hyperbolic tangent functions, and the time-varying delays in interconnections are compensated by Lyapunov-Krasovskii functional. Radial basis function neural network is used to approximate the unknown nonlinearities. Dynamic surface control is successfully extended to eliminate 'the explosion of complexity' problem in backstepping procedure. To reduce the computational burden, minimal learning parameters technique is successfully incorporated into this novel control design. A delay-independent decentralized control scheme is proposed. With the adaptive neural decentralized control, only one estimated parameter need to be updated online for each subsystem. Therefore, the controller is more simplified than the existing results. Also, semiglobal uniform ultimate boundedness of all of the signals in the closed-loop system is guaranteed. Finally, simulation studies are given to demonstrate the effectiveness of the proposed design scheme. DECENTRALIZED ADAPTIVE CONTROL 25 models be known exactly or the unknown nonlinear functions can be linearly parameterized. These control methods will be invalid, if the knowledge on nonlinear dynamics is not available.Recently, to overcome this limitation, many fuzzy logic systems (FLSs) or neural networks (NNs) control strategies for nonlinear systems have been proposed (see [10][11][12][13][14][15][16][17][18][19] with time delays or not), based on the reason that FLSs or NNs are universal approximators and have the ability to approximate the nonlinear functions. Although these approaches do not require nonlinear dynamic model to be known exactly or the unknown nonlinear functions to be linearly parameterized and still can achieve a good control performance, they are applied only to a relatively simple class of single nonlinear system. For large-scale systems, as is well known, because of the difficulties to deal with interconnections and the difficulties inherent in nonlinear subsystems, the decentralized control scheme designing with FLSs or NNs is still a challenging problem. Inspired by this challenge, many adaptive decentralized NN or fuzzy backstepping control approaches have been investigated for uncertain nonlinear systems [20][21][22][23][24][25][26].Although the approximation-based adaptive decentralized backstepping control approaches can overcome the difficulties that nonlinear systems do not satisfy the matching conditions and unknown nonlinear functions cannot be linearly parameterized, the backstepping design re...

show abstract

Decentralised adaptive robust control of uncertain large-scale non-linear dynamical systems with time-varying delays

Cited by 44 publications

References 10 publications

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

Output feedback regulation for large-scale uncertain nonlinear systems with time delays

Decentralized adaptive control of nonlinear large‐scale pure‐feedback interconnected systems with time‐varying delays

Contact Info

Product

Resources

About