Architecture Induced by Distributed Backstepping Design

An important problem in the distributed control of large-scale and infinite dimensional systems is related to the choice of the appropriate controller architecture. We utilize backstepping as a tool for distributed control of nonlinear infinite dimensional systems on lattices, and provide the answer...

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Veröffentlicht in:IEEE transactions on automatic control 2007-01, Vol.52 (1), p.108-113
Hauptverfasser: Jovanovic, M.R., Bamieh, B.
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Bamieh, B.
description An important problem in the distributed control of large-scale and infinite dimensional systems is related to the choice of the appropriate controller architecture. We utilize backstepping as a tool for distributed control of nonlinear infinite dimensional systems on lattices, and provide the answer to the following question: what is the controller architecture induced by distributed backstepping design? In particular, we study the case in which we start backstepping design with decentralized control Lyapunov function (CLF), and cancel all interactions at each step of backstepping. For this control law we quantify the number of control induced interactions necessary to guarantee desired dynamical behavior of the infinite dimensional system. We also demonstrate how the controllers with favorable architectures can be designed
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subjects Applied sciences
Architecture
Backstepping
Centralized control
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Controller architecture
Decentralized control
Design engineering
distributed backstepping design
Distributed control
Dynamical systems
Exact sciences and technology
Industrial metrology. Testing
Large-scale systems
Lattices
Lyapunov functions
Lyapunov method
Mechanical engineering. Machine design
Nonlinear control systems
Process control
Sensor arrays
systems on lattices
title Architecture Induced by Distributed Backstepping Design
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