Gain‐scheduled leader‐follower tracking control for interconnected parameter varying systems

Cheng, Yi; Ugrinovskii, Valery

doi:10.1002/rnc.3320

Cited by 22 publications

(18 citation statements)

References 28 publications

(94 reference statements)

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“…The reason for recent awareness of nonlinear models is that they describe most physical systems and increase the accuracy and performance of system behavior. During recent decades, various types of adaptive controllers have been developed and applied, more particularly for smaller systems [35][36][37][38][39] and large-scale linear systems [2,5,[32][33][34], based on different approaches, such as, minimum variance [37,39], generalized minimum variance [2,38], decentralization [12], and so on.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Control Scheme for Large‐Scale Interconnected Systems Described by Hammerstein Models

Elloumi

Kamoun

2017

Asian Journal of Control

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This paper proposes an adaptive algorithm for the online control of discrete‐time large‐scale nonlinear systems, which reduces the noise effects acting on the system output (regulation problem) and allows the system output to keep track of a time‐varying trajectory (tracking problem). We consider a large‐scale nonlinear system that can be decomposed into single‐input single‐output (SISO) interconnected nonlinear subsystems with known structure variables (orders, delays) and unknown time‐varying parameters. Each interconnected subsystem is described by block‐oriented models, specifically a discrete‐time Hammerstein model. Parameter adaptation is performed using a recursive parametric estimation algorithm based on the adjustable model method and the least squares techniques. Simulation results of an interconnected petroleum process are provided to demonstrate the effectiveness of the developed control scheme.

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Section: Introductionmentioning

confidence: 99%

Adaptive Control Scheme for Large‐Scale Interconnected Systems Described by Hammerstein Models

Elloumi

Kamoun

2017

Asian Journal of Control

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“…The synchronisation problem has been recently addressed in [31] for the heterogeneous affine LPV systems, in which all agents are assumed to have access to the exogenous input. A sufficient condition has also been given for solving the gain-scheduled leader-follower tracking control problem [32]. The proposed control law requires the full knowledge of states of each agent and of the leader.…”

Section: Introductionmentioning

confidence: 99%

“…for any k ∈ . Proof: The number of equations and the number of free variables in linear equation (32)…”

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confidence: 99%

Distributed observer‐based cooperative control for output regulation in multi‐agent linear parameter‐varying systems

Mesbahi

Velni

2017

IET Control Theory & Applications

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In this paper, output regulation problem is examined for a class of heterogeneous multi-agent systems, whose dynamics are governed by affine linear parameter-varying (LPV) models, with a known communication topology. In the proposed solution method, the agents are divided into two groups depending on whether or not their output is directly affected by external (such as reference or disturbance) inputs. Conditions for cooperative LPV control synthesis are first constructed through the design of distributed observers. To establish these conditions, the solution to a time-varying Sylvester equation is required. An offline solution to this equation will be proposed to calculate and update the controller state-space matrices. The proposed design methodologies of this study are finally validated using a numerical example.

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“…The analysis and synthesis results of the work of Hoffmann et al pertain to heterogeneous continuous‐time LFT LPV systems interconnected through switching directed topologies. In addition, consensus problems involving LPV agents were addressed in the works of Seyboth et al and Cheng and Ugrinovskii . The analysis and synthesis results of our paper concern heterogeneous discrete‐time LPV subsystems interconnected over arbitrary directed graphs with a communication latency of one sampling period.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, consensus problems involving LPV agents were addressed in the works of Seyboth et al 28 and Cheng and Ugrinovskii. 29 The analysis and synthesis results of our paper concern heterogeneous discrete-time LPV subsystems interconnected over arbitrary directed graphs with a communication latency of one sampling period. Thus, the distributed LPV systems under consideration are novel.…”

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confidence: 99%

Distributed control of LPV systems over arbitrary graphs with communication latency

Farhood

2017

Intl J Robust & Nonlinear

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Summary This paper focuses on spatially distributed control systems where the controller sensing and actuation topology is inherited from that of the plant. Specifically, this paper considers distributed systems composed of discrete‐time linear parameter‐varying subsystems interconnected over general graph structures. These distributed systems are subject to a communication latency of one sampling period, where the information sent by a subsystem at the current time step is received by the target subsystem at the next time step. Analysis and synthesis conditions are derived for control design in this setting using a parameter‐dependent Lyapunov approach with the ℓ2‐induced norm as the performance measure. Fast and easy‐to‐implement algorithms are also provided for constructing the controller in real time. The techniques developed are finally applied to a leader‐follower formation problem with intermittent communications.

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Gain‐scheduled leader‐follower tracking control for interconnected parameter varying systems

Cited by 22 publications

References 28 publications

Adaptive Control Scheme for Large‐Scale Interconnected Systems Described by Hammerstein Models

Adaptive Control Scheme for Large‐Scale Interconnected Systems Described by Hammerstein Models

Distributed observer‐based cooperative control for output regulation in multi‐agent linear parameter‐varying systems

Distributed control of LPV systems over arbitrary graphs with communication latency

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