Decentralized control for interconnected uncertain systems: extensions to higher-order uncertainties

Shi, Lin; Singh, Sharanjeet

doi:10.1080/00207179308934457

Cited by 79 publications

(35 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Applying the bounds from Assumption 2 to the second last term of (17), and using (18) and the fact that i1 is smooth and i1 (0) = 0, we have…”

Section: Proofmentioning

confidence: 99%

“…Note also that interconnections are commonly required to be not only linear, but also weak in the sense that they are dominated by subsystem stability margins [19,3,6,22,5]. An advance on the interconnection constraint was presented in [17,18] where the interconnection was extended to be bounded by any higher-order polynomial. Then in [4], a stabilizing design is given for a nonlinear time-varying system with the interconnection bounded by a general nonlinear function.…”

Section: Introductionmentioning

confidence: 99%

“…However, the uncertainties in [17,18,4] require matching conditions. Recently in [9], based on the work of [17,18] and backstepping and tuning function design [12], a class of large-scale nonlinear systems in their decentralized strict feedback form was designed to be adaptively stable; the matching condition was relaxed and the time-invariant interconnections are bounded by higher-order polynomials.…”

Section: Introductionmentioning

confidence: 99%

“…Recently in [9], based on the work of [17,18] and backstepping and tuning function design [12], a class of large-scale nonlinear systems in their decentralized strict feedback form was designed to be adaptively stable; the matching condition was relaxed and the time-invariant interconnections are bounded by higher-order polynomials. In this paper, we assume time-varying interconnections without matching conditions which are bounded by general nonlinear functions and develop a robust control design.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems

Guo

Jiang²,

Hill

1999

Systems & Control Letters

View full text Add to dashboard Cite

We solve the problem of decentralized H∞ almost disturbance decoupling for a class of large-scale nonlinear uncertain systems in the absence of matching conditions. The method combines ideas from decentralized adaptive control and centralized nonlinear H∞ control. We relax earlier assumptions on the uncertain time-varying interconnections which are demanded to be only bounded by general nonlinear functions in this work.

show abstract

“…Applying the bounds from Assumption 2 to the second last term of (17), and using (18) and the fact that i1 is smooth and i1 (0) = 0, we have…”

Section: Proofmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems

Guo

Jiang²,

Hill

1999

Systems & Control Letters

View full text Add to dashboard Cite

show abstract

“…In this section, we consider the two identical pendulums which are coupled by a spring and subject to two distinct inputs (15) (16) as shown in Fig.1.…”

Section: An Illustrative Examplementioning

confidence: 99%

Design of Decentralized Iterative Learning Controllers for Linear Large Scale Dynamical Systems

2004

IEEJ Trans.EIS

View full text Add to dashboard Cite

The problem of decentralized iterative learning control is considered for a class of linear time-invariant large scale interconnected dynamical systems. In the paper, it is shown that the method of iterative learning control can be applied to such large scale interconnected dynamical systems, and a class of decentralized local iterative learning control schemes is proposed. It is aslo shown that under given conditions, the proposed decentralized local iterative learning controllers can guarantee the asymptotic convergence of the local output error between the given desired local output and the actual local output of each subsystem through the iterative learning process. Finally, a numerical example is given to demonstrate the validity of the results.

show abstract

Decentralized filtered feedback linearization for uncertain nonlinear systems

Ghasemi

Hoagg

Seigler

2017

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper presents decentralized filtered feedback linearization (D‐FFL), which is a decentralized controller for uncertain nonlinear systems with potentially unknown disturbance. Moreover, D‐FFL uses only local‐state feedback (or, in certain cases, local‐output feedback) and local reference‐model‐input feedforward and requires limited model information. For sufficiently small initial conditions and sufficiently large choice of a scalar control parameter, D‐FFL makes the ℒ∞ norm of the command‐following error arbitrarily small.

show abstract

Decentralized control for interconnected uncertain systems: extensions to higher-order uncertainties

Cited by 79 publications

References 7 publications

Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems

Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems

Design of Decentralized Iterative Learning Controllers for Linear Large Scale Dynamical Systems

Decentralized filtered feedback linearization for uncertain nonlinear systems

Contact Info

Product

Resources

About