Output Regulation Of A Class Of Singular Nonlinear Systems With The Normal Output Feedback Controller

Wang, Wei; Huang, Jie

doi:10.1111/j.1934-6093.2003.tb00106.x

Cited by 11 publications

(17 citation statements)

References 26 publications

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“…The output regulation problem for singular nonlinear systems is firstly proposed and solved in Zhang and Huang (1998). Chen and Huang (2002) and Wang and Huang (2003) refine the results of Zhang and Huang (1998) by removing the assumption on normalisation. Moreover, the robust output regulation problem for singular nonlinear systems is addressed by using a nonlinear internal model in Pang et al (2005).…”

Section: Introductionsupporting

confidence: 51%

Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

Lin

Lan

2016

Transactions of the Institute of Measurement and Control

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The semi-global output regulation problem of multi-variable discrete-time singular linear systems with input saturation is investigated in this paper. A composite nonlinear feedback control law is constructed by using a low gain feedback technique for semi-global stabilisation of discrete-time singular linear systems with input saturation. The sufficient solvability conditions of the semi-global output regulation problem by composite nonlinear feedback control are established. When the composite nonlinear feedback control law is reduced to a linear control law, the solvability conditions are an exact discrete-time counterpart of the semi-global output regulation problem of continuous-time singular linear systems. With the extra control freedom of the nonlinear part in the composite nonlinear feedback control law, the transient performance of the closed-loop system can be improved by carefully choosing the linear feedback gain and the nonlinear feedback gain. The design procedure of the composite nonlinear feedback control law and the improvement of the transient performance are illustrated by a numerical example.

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Section: Introductionsupporting

confidence: 51%

Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

Lin

Lan

2016

Transactions of the Institute of Measurement and Control

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“…For more details about the assumptions and the solutions, we refer readers to the survey papers in [1][2][3][4][5].…”

Section: Statement Of the Problemmentioning

confidence: 99%

Almost Asymptotic Regulation of Markovian Jumping Linear Systems in Discrete Time

He¹,

Ding²,

Liu³

2013

Asian Journal of Control

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This paper considers the problems of almost asymptotic output regulation for discrete-time Markovian jumping linear systems. Based on a stochastic Lyapunov-Krasovskii functional framework, sufficient conditions for the extension of the regulation scheme to such stochastic systems are obtained via state feedback and via error feedback. Relying on a characterization of the feedback controllers, the almost asymptotic regulation is accomplished. The problem of guaranteeing stochastic stability and almost asymptotic tracking is achieved by solving linear matrix inequalities subject to a set of linear equality constraints. In order to ensure relaxed solutions of the regulation equations, a semi-definite optimization approach via disciplined convex programming is outlined. Simulation results also are given to illustrate the effectiveness of the proposed design approach.

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“…For example, the output regulation problem of singular nonlinear systems are investigated by the state feedback and output feedback impulse-free controllers in [4,11,24]. For example, the output regulation problem of singular nonlinear systems are investigated by the state feedback and output feedback impulse-free controllers in [4,11,24].…”

Section: Introductionmentioning

confidence: 99%

“…[18] studied the semi-global stabilization and output regulation of singular linear systems with input saturation. It is worth mentioning that most of the above results are achieved under the assumption that the algebraic equations of the singular nonlinear system are known, and a unique solution of the algebraic equation can be obtained directly [4,11,24] or indirectly by an input feedback [10,21]. It is worth mentioning that most of the above results are achieved under the assumption that the algebraic equations of the singular nonlinear system are known, and a unique solution of the algebraic equation can be obtained directly [4,11,24] or indirectly by an input feedback [10,21].…”

Section: Introductionmentioning

confidence: 99%

“…The work is supported by National Nature Science Foundation of China (61374035), and the Fundamental Research Funds for the Central Universities (20720150177). feedback and output feedback impulse-free controllers in [4,11,24]. The robust output regulation problem of singular nonlinear systems is addressed in [3] by designing a kth-order robust regulator under an assumption that the solution of the regulator equations is polynomial.…”

Section: Introductionmentioning

confidence: 99%

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Semi‐Global Robust Output Regulation for A Class of Singular Nonlinear Systems with Unknown Algebraic Equations

Huang¹,

Lan²

2017

Asian Journal of Control

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This paper considers semi-global robust output regulation problem for a class of singular nonlinear systems whose algebraic equations are not precisely known. Since the algebraic equations are not known, the output regulation problem of singular nonlinear systems cannot be solved by directly reducing the singular nonlinear system into a normal nonlinear system. Based on internal model principle, we convert the robust output regulation problem of singular nonlinear systems into a robust stabilization problem of an augmented singular nonlinear system. The augmented singular nonlinear system is also with unknown algebraic equations. However, without transforming the singular nonlinear system into a normal nonlinear system, it is shown that the augmented singular nonlinear system can be semi-globally stabilized by a high gain output feedback control law under some reasonable assumptions. Moreover, the semi-global stabilization control law of the augmented singular nonlinear systems also solves the semi-global robust output regulation problem of the original singular nonlinear system.

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Output Regulation Of A Class Of Singular Nonlinear Systems With The Normal Output Feedback Controller

Cited by 11 publications

References 26 publications

Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control

Almost Asymptotic Regulation of Markovian Jumping Linear Systems in Discrete Time

Semi‐Global Robust Output Regulation for A Class of Singular Nonlinear Systems with Unknown Algebraic Equations

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