Output tracking control of uncertain nonlinear systems with an input time delay

Wu, Wei; Chou, Ying-Chieh

doi:10.1049/ip-cta:19960303

Cited by 32 publications

(19 citation statements)

References 8 publications

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“…In the Lyapunov-based approach, a state feedback control is synthesized by explicit construction of a Lyapunov function and using the bounds on the uncertainties (e.g. Palanki 1988, Wu andChou 1996). This approach allows non-parameterized uncertainties.…”

Section: Introductionmentioning

confidence: 99%

“…A few studies combine feedback linearization techniques with singular perturbation methods (e.g. Kokotovic et al 1986, Khalil 1992, Liao et al 1992, Wu and Chou 1996 for a class of uncertain non-linear systems to deal with robust output tracking problems. However, in many of the techniques, to achieve the objective of either stabilization or tracking, some assumptions were introduced regarding the structure of the uncertainties.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Internal model control with feedback compensation for uncertain non-linear systems

Hu¹,

Rangaiah²

2001

International Journal of Control

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Control of non-linear systems by model-based strategies is often aOE ected by model uncertainties. For these systems, internal model control with feedback compensation (IMC-FC), which consists of a non-linear model control and an error feedback loop, to achieve disturbance attenuation and oOE set-free performance, is proposed in this study. The matching conditions for the uncertainties of non-linear systems are not necessary, and adjustable parameters can easily be tuned to satisfy the particular speci® cation. The underlying theoretical approach for the feedback compensation is the Lyapunov stability theory. The eOE ectiveness of the proposed approach is illustrated by a simulation example on the composition control of a continuous stirred tank reactor. The theoretical analysis and simulation results show that the proposed IMC-FC can reduce the eOE ect of modelling uncertainties such that the performance of the control system is greatly improved.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Internal model control with feedback compensation for uncertain non-linear systems

Hu¹,

Rangaiah²

2001

International Journal of Control

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“…In Zhang and Cheng (2005) the problem is addressed for a class of nonlinear systems with a delayed input. Based on input-output feedback linearisation, a class of static output controllers is designed in Wu and Chou (1996), introducing the notion of constant relative degree. In both works, Zhang and Cheng (2005) and Wu and Chou (1996), the output function is delayfree, but that is not always true in practice where the measurement may be delayed (see, for instance, Germani, Manes, and Pepe 2002).…”

Section: Introductionmentioning

confidence: 99%

“…Based on input-output feedback linearisation, a class of static output controllers is designed in Wu and Chou (1996), introducing the notion of constant relative degree. In both works, Zhang and Cheng (2005) and Wu and Chou (1996), the output function is delayfree, but that is not always true in practice where the measurement may be delayed (see, for instance, Germani, Manes, and Pepe 2002). In Clarkson and Goodall (2000), the delayed measurement problem is addressed via a class of static output stabilisers, without invoking the concept of constant relative degree.…”

Section: Introductionmentioning

confidence: 99%

Output feedback stabilisation for uncertain nonlinear time-delay systems subject to input constraints

Goodall

2010

International Journal of Control

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Robust stabilisation of a class of imperfectly known systems with time-varying time-delays via output feedback is investigated. The systems addressed are composed of a nonlinear nominal system influenced by nonlinear perturbations which may be time-, state-, delayed state-and/or input-dependent. The output of the system is modelled by a nonlinear function, which may depend on the delayed states, and inputs, together with a feed-through term. Using bounding information on the perturbations, in terms of specified growth conditions, classes of unconstrained and constrained output feedback controllers are designed in order to guarantee a prescribed stability property for the closed-loop systems, provided appropriate stability criteria hold. Two stability criteria are given: one in terms of a linear matrix inequality (LMI) and the other is algebraic in nature, obtained using a Gersˇgorin Theorem.

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“…[9] has developed a computational method for solving an optimal control problem which is governed by a switched dynamical system with state delay. [10] presented the control design based on input-output feedback linearization for a class of uncertain nonlinear systems with an input time delay. [11] studied the classic linear quadratic regulation problem for both continuous-time and discrete-time systems with multiple input delays.…”

Section: Introductionmentioning

confidence: 99%

An optimal control regulator for nonlinear discrete-time systems with input delays

Wang

Nai-ping

Zhang

2008

2008 7th World Congress on Intelligent Control and Automation

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An optimal regulator is presented for a nonlinear discrete-time system with input delay and a quadratic criterion. First, the original problem is reduced to the nonlinear-quadratic regulator design for a system without delays by an extended Artstein model reduction approach. Then, An iterative process is proposed to find a solution sequence of the nonlinear two-point boundary value (TPBV) problem of the new transformed system, which is obtained from the necessary optimality conditions. Finally, by introducing an adjoint vector to compensate the separated nonlinearities in the system and using a successive approximation approach, we obtain an suboptimal solution.Simulation are conducted to demonstrate the performance of the regulator obtained.

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Output tracking control of uncertain nonlinear systems with an input time delay

Cited by 32 publications

References 8 publications

Internal model control with feedback compensation for uncertain non-linear systems

Internal model control with feedback compensation for uncertain non-linear systems

Output feedback stabilisation for uncertain nonlinear time-delay systems subject to input constraints

An optimal control regulator for nonlinear discrete-time systems with input delays

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