Right factorization of a class of time-varying nonlinear systems

Desoer, C.; Kabuli, M.G.

doi:10.1109/9.1292

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Cited by 42 publications

(2 citation statements)

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“…Alternative approaches to the control of nonlinear systems can be found in [11], [12], [5], [6], [18], [3], [17], [7], [2], [14], [16], [19], [15], [8], [1], [4], [13] and [9], in the references cited in these publications, and elsewhere.…”

Section: Introductionmentioning

confidence: 99%

A simple approach to nonlinear state feedback design

Hammer

2013

2013 9th Asian Control Conference (ASCC)

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Section: Introductionmentioning

confidence: 99%

A simple approach to nonlinear state feedback design

Hammer

2013

2013 9th Asian Control Conference (ASCC)

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“…Alternative recent investigations into the theory of nonlinear systems can be found in [1], [2], [12]- [16], the references cited in these works, and others.…”

Section: Introductionmentioning

confidence: 99%

Internally stable nonlinear systems with disturbances: a parameterization

Hammer

1994

IEEE Trans. Automat. Contr.

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This paper deals with the control of a nonlinear system whose output is subjected to an additive disturbance. The main result is a simple parameterization of the set of all system responses that can be obtained through internally stable control of the given system. The parameterization provides a clear indication of the effects of the disturbance on the response of the stabilized closed loop system. The class of achievable responses is determined by the ''numerator'' of a right coprime fraction representation of the system being controlled. Here, u E S (Rm) is the input sequence, y E S (RP) is the output sequence, and x E S(Rn) is an intermediate sequence of "states." In case the functions f :Rn x Rm-+ Rn and h:Rn-+ RP are continuous, then (2.1) constitutes a continuous realiz,ation of the system :E. A system M:S(Rm)-+ S(Rm) is bicausal if it is causal and if it possesses a causal inver$e. It can be readily shown that the composition of two bicausal systems is bicausal. Likewise, the composition of two causal systems is causal, and the composition of a causal system with a strictly causal one is i. ! .

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2014

Operator‐Based Nonlinear Control Systems

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Right factorization of a class of time-varying nonlinear systems

Cited by 42 publications

References 7 publications

A simple approach to nonlinear state feedback design

A simple approach to nonlinear state feedback design

Internally stable nonlinear systems with disturbances: a parameterization

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