The robust decentralized control of a general servomechanism problem

Davison,

doi:10.1109/cdc.1975.270617

Cited by 14 publications

(31 citation statements)

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“…An attractive approach that has some of these features is Davison's decentralized robust regulator theory (Davison 1976a(Davison ,b, 1977. This approach yields a set of disturbance-accommodating controllers that:…”

Section: Decentralized Disturbance-accommodating Controllersmentioning

confidence: 99%

“…Davison (1976a) showed that, roughly speaking, when each servo compensator (4.101) is controllable, the transmission zeros of the process (4.100) do not cancel the poles of any servo compensator, and some other conditions are met, the robust regulator can provide arbitrary assignment of all poles of the process. The robust regulator regulates the process for any changes in plant parameters Ai> B j , C i for which the control structure remains stable.…”

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confidence: 99%

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Control and Coordination in Hierarchical Systems

Beaumont¹,

Findeisen²,

Bailey³

et al. 1981

The Journal of the Operational Research Society

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Section: Decentralized Disturbance-accommodating Controllersmentioning

confidence: 99%

mentioning

confidence: 99%

Control and Coordination in Hierarchical Systems

Beaumont¹,

Findeisen²,

Bailey³

et al. 1981

The Journal of the Operational Research Society

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“…The space-state equations (1) and (2) form an interconnected composite system. An interesting characteristic of this system is that if it is controllable and observable for all parameters, then it is stabilizable by using only local controllers in each subsystem [2], [11]. Because of the linearity of the representation, this property can be extended to bigger systems with more generators connected at the PCC.…”

Section: A Microgrid Basic Modelmentioning

confidence: 99%

Modeling and Control of a Microgrid in Islanding Mode

Dulce¹,

Gauthier²,

Pantoja³

2024

RE&PQJ

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Abstract. Recent researches show the importance of modeling and control the DC/DC and DC/AC power converters in order to obtain proper-islanded microgrids or safe connection of different generation sources to the utility grid. The control needs arise because the high penetration of the low scale generation may produce frequency and voltage deviations from desired levels. In this context, this paper develops a model of distinct power converters and proposes a decentralized control strategy to regulate the frequency and voltage in a microgrid with different generators and loads. Simulations show the application of the control strategy in a simple microgrid model with the evaluation of every control stage in the grid.

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“…iii) The controller to be designed should be decentralized. There exist a number of works which have addressed the problem of designing a controller satisfying the properties (i) and (iii) given above, and the controller obtained is regarded as decentralized servomechanism controller [19], [20], [21]. The paper [19] parameterizes all the decentralized controllers which reject the unmeasurable disturbances with known dynamics.…”

Section: Introductionmentioning

confidence: 99%

A near-optimal decentralized servomechanism controller for hierarchical interconnected systems

Lavaei

Momeni

Aghdam

2007

2007 46th IEEE Conference on Decision and Control

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Abstract-This paper is concerned with decentralized output regulation of hierarchical systems subject to input and output disturbances. It is assumed that the disturbance can be represented as the output of an autonomous LTI system with unknown initial state. The primary objective is to design a decentralized controller with the property that not only does it reject the degrading effect of the disturbance on the output (for a satisfactory steady-state performance), it also results in a small LQ cost function (implying a good transient behavior). To this end, the underlying problem is treated in two phases. In the first step, a number of modified systems are defined in terms of the original system. The problem of designing a LQ centralized controller which stabilizes all the modified systems and rejects the disturbance in the original system is considered, and it is shown that this centralized controller can be efficiently found by solving a LMI problem. In the second step, a method recently presented in the literature is exploited to decentralize the designed centralized controller. It is proved that the obtained controller satisfies the pre-determined design specifications including disturbance rejection. Simulation results elucidate the efficacy of the proposed control law.

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The robust decentralized control of a general servomechanism problem

Cited by 14 publications

References 0 publications

Control and Coordination in Hierarchical Systems

Control and Coordination in Hierarchical Systems

Modeling and Control of a Microgrid in Islanding Mode

A near-optimal decentralized servomechanism controller for hierarchical interconnected systems

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