Impulse-free output regulation of singular nonlinear systems

Huang, Jie; Zhang, Jifeng

doi:10.1109/acc.1998.703089

Cited by 16 publications

(29 citation statements)

References 21 publications

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“…Recently, efforts have been made to study the output regulation problem or the robust output regulation problem of singular nonlinear systems. Huang and Zhang formulated and studied the output regulation problem for singular nonlinear systems in [15]. They also constructed a normal output feedback controller under certain normalizability condition.…”

Section: Introductionmentioning

confidence: 98%

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Robust output regulation of singular nonlinear systems via a nonlinear internal model

Pang

Huang

Bai

2005

IEEE Trans. Automat. Contr.

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Section: Introductionmentioning

confidence: 98%

“…Section II describes the robust output regulation problem for singular systems and summarizes some results obtained in [12] and [15]. Section III presents the major result.…”

Section: Introductionmentioning

confidence: 98%

Robust output regulation of singular nonlinear systems via a nonlinear internal model

Pang

Huang

Bai

2005

IEEE Trans. Automat. Contr.

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“…The above problem is clearly an extension of the problem studied in [18], taking into account the uncertainty. Viewing w as being generated by an exosystem of the formẇ = 0, a solvability condition can be obtained by slightly modifying Lemma 4.1 of [18], as follows: Theorem 2.2. Assume the following, A1: The equilibrium of exosystem (2.2) is stable and all the eigenvalues of (∂a/∂v)(0) have zero real parts.…”

mentioning

confidence: 99%

“…The paper is organized as follows: Section 2 describes the robust output regulation problem for singular systems and summarizes some results obtained in [18]. In section 3, we give a preliminary result which solves the k th -order robust output regulation problem.…”

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confidence: 99%

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Robust Output Regulation of Singular Nonlinear Systems

Chen

Huang

2002

IFAC Proceedings Volumes

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Abstract. Singular systems, defined as dynamical systems subject to algebraic constraints, arise in many engineering disciplines. The output regulation problem for singular nonlinear systems has been studied recently for the ideal case where the mathematical model is exactly known. This paper will consider the robust output regulation problem for a class of singular nonlinear systems which contain uncertain parameters. We will establish the conditions for the solvability of the problem, thus extending the existing results from normal nonlinear systems to singular nonlinear systems.1. Introduction. Singular systems arise in many areas of engineering including electrical networks, power system, aerospace engineering and chemical processing.Since the late 1970s singular systems have attracted the attention of many researchers. Several books and survey papers dealing with these systems have addressed the issues of solvability, controllability and observability, pole assignment, the elimination of impulsive behavior, and so on [6], [20], [8], [3]. This paper will consider the robust output regulation problem for a class of singular nonlinear systems to be described in Section 2. Briefly, the output regulation problem aims to design control laws for a plant so that the output of the closed-loop system is able to asymptotically track a class of reference inputs and reject a class of disturbances. Both the disturbance and reference are generated by an autonomous differential equation called exosystem. When the controller is also required to tolerate certain plant uncertainty, the problem is called a robust output regulation problem. For linear systems, this problem was thoroughly studied for the normal systems in the 1970s in [10], [11] among others. A salient outcome of these research activities is the internal model principle which is the extension of the well known PID control. The problem was also investigated for linear singular systems in 1980's [8]. Recently, a more clear-cut solution of this problem for linear singular systems was obtained in [21]. For nonlinear systems, the same problem was first treated for normal systems. The special case in which the exogenous signals are constant was studied in [11], [16]. The general case with time varying exogenous signals was studied in [19] without considering the parameter uncertainty. Subsequently, the robust version of the same problem was pursued in [13], [14], [12], [2]. More recently, the output regulation problem for singular nonlinear systems was formulated and solved in [18]. The objective of this paper is to extendthe research initiated in [18] by considering the plant uncertainty.

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Adaptive regularization for a class of nonlinear affine differential-algebraic equation systems

Liu

2008

2008 American Control Conference

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In this paper, the regularization problem is investigated for nonlinear differential-algebraic equation (DAE) systems with unknown parameters, which appear linearly in both differential and algebraic equations. It is shown that the feasibility of the proposed algorithms guarantees the existence of a feedback controller so that the resulting closed-loop systems admit equivalent ordinary differential equation (ODE) systems with lower triangular forms. As an application case of DAE systems, a constrained manipulator with flexible joints is studied to illustrate the proposed methodology.

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Impulse-free output regulation of singular nonlinear systems

Cited by 16 publications

References 21 publications

Robust output regulation of singular nonlinear systems via a nonlinear internal model

Robust output regulation of singular nonlinear systems via a nonlinear internal model

Robust Output Regulation of Singular Nonlinear Systems

Adaptive regularization for a class of nonlinear affine differential-algebraic equation systems

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