Output regulation of nonlinear systems using conditional servocompensators

Memon, Attaullah Y.; Khalil, Hassan K.

doi:10.1016/j.automatica.2010.03.015

Cited by 33 publications

(12 citation statements)

References 14 publications

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“…By (12) and (16), it is clear that the global diffeomorphism map T (x, μ 0 ) transfers the system (1) into the following form:…”

Section: Problem Conversionmentioning

confidence: 99%

Global robust output regulation for a class of affine singular nonlinear systems

2017

Journal of Systems Engineering and Electronics

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The global robust output regulation problem of the singular nonlinear system is investigated. Motivated by the inputoutput linearization of the normal affine nonlinear system, a global diffeomorphism map is designed under the assumption that the singular nonlinear system has a strong relative degree. The global diffeomorphism map transfers the singular nonlinear system into a new singular nonlinear system with a special structure. Attaching an internal model to the new singular nonlinear system yields an augmented singular nonlinear system and the global robust stabilization solution of the augmented system implies the global robust output regulation solution of the original singular nonlinear system. Then the global stabilization problem is solved by some appropriate assumptions and the solvability conditions of the global robust output regulation problem are established. Finally, a simulation example is given to illustrate the design approach.

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“…By (12) and (16), it is clear that the global diffeomorphism map T (x, μ 0 ) transfers the system (1) into the following form:…”

Section: Problem Conversionmentioning

confidence: 99%

Global robust output regulation for a class of affine singular nonlinear systems

2017

Journal of Systems Engineering and Electronics

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“…The use of high-gain observers in nonlinear feedback control systems originally appeared in the late 1980s in the works [38][39][40][41]. Over the past twenty years, high-gain observers have been studied in a wide range of nonlinear control problems, including stabilization, regulation, tracking, and adaptive control, in, e.g., [42][43][44]. More extensive references can be found in the survey paper [46].…”

Section: Standard Output Regulationmentioning

confidence: 99%

“…Over the past twenty years, high‐gain observers have been studied in a wide range of nonlinear control problems, including stabilization, regulation, tracking, and adaptive control, in, e.g. , . More extensive references can be found in the survey paper .…”

Section: Grounds Of Argumentmentioning

confidence: 99%

Output Regulation and Active Disturbance Rejection Control: Unified Formulation and Comparison

Chen¹,

Xu²

2015

Asian Journal of Control

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Output regulation theory aims to design a controller for achieving reference tracking and disturbance rejection while maintaining system stability. Different from the stabilization problem about an equilibrium point, the output regulation problem is capable of characterizing more complicated steady-state trajectories induced by reference and/or disturbance. Many efforts have been made to reveal how a steady-state trajectory can be characterized, estimated, and hence compensated by a controller such that output regulation can be asymptotically achieved. When the steady-state trajectory is approximately treated as a constant "quantity", the standard output regulation implies an approximate version within which output regulation is practically achieved. It is revealed in this paper that such an approximate version of output regulation includes the later developed active disturbance rejection control (ADRC) method as a special case.

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“…Then, the global adaptive output regulation for the output feedback systems was shown in , and the global output regulation for output feedback system was reported in . For more results on this topic, we refer readers to the results in and the references therein. More recently, considerable research effort have been made to extend the class of exosystem.…”

Section: Introductionmentioning

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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Output regulation of nonlinear systems using conditional servocompensators

Cited by 33 publications

References 14 publications

Global robust output regulation for a class of affine singular nonlinear systems

Global robust output regulation for a class of affine singular nonlinear systems

Output Regulation and Active Disturbance Rejection Control: Unified Formulation and Comparison

Almost Asymptotic Regulation of Markovian Jumping Linear Systems in Discrete Time

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