Optimal nonlinear–nonquadratic feedback control for nonlinear discrete-time systems with l and l disturbances

Haddad, Wassim M.; Chellaboina, VijaySekhar; Wu, Weikun

doi:10.1016/s0362-546x(98)00279-x

Cited by 8 publications

(3 citation statements)

References 6 publications

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“…Remark 3: In Haddad et al (2000) the class of functions F consists of one element and w is considered as an exogenous disturbance. The upper bound on the objective functional is given only for w 0.…”

Section: Proofmentioning

confidence: 99%

“…This type of control is often applied for uncertain systems, where both robust stability and robust performance is required (Garcia et al 2003, Haddad et al 2000, Kogan 1997, Petersen et al 1998, Rosinova and Vesely 2002, Yang et al 2000, You and Gao 2002. The notion of the guaranteed cost control was introduced first for linear systems.…”

Section: Introductionmentioning

confidence: 99%

“…The first one is followed by Haddad et al (1998), which has been the main motive of our paper, and Haddad et al (2000). In this approach only the objective functional to be minimized is modified by an auxiliary term.…”

Section: Introductionmentioning

confidence: 99%

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Guaranteeing cost strategies for infinite horizon difference games with uncertain dynamics

Gyurkovics

Takács

2005

International Journal of Control

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The paper addresses the problem of determination of guaranteeing cost control strategies for discrete-time two-persons zero-sum non-linear games over infinite horizon. In the proposed approach the objective functional is appropriately modified in order to cope with the uncertainties, and a sufficient condition is given to ensure that a given state-feedback is a guaranteeing cost control. The results are applied also for linear systems with uncertainties of linear fractional structure to derive guaranteeing cost strategies for both players. It is shown that this approach can successfully be applied in this case, when the method of introducing fictitious games as proposed in previous papers may come up against a difficulty. The results are illustrated by numerical examples.

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Section: Proofmentioning

confidence: 99%