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 |
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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 |
doi_str_mv | 10.1109/TAC.2006.886533 |
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Systems</subject><subject>Controller architecture</subject><subject>Decentralized control</subject><subject>Design engineering</subject><subject>distributed backstepping design</subject><subject>Distributed control</subject><subject>Dynamical systems</subject><subject>Exact sciences and technology</subject><subject>Industrial metrology. Testing</subject><subject>Large-scale systems</subject><subject>Lattices</subject><subject>Lyapunov functions</subject><subject>Lyapunov method</subject><subject>Mechanical engineering. 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Systems</topic><topic>Controller architecture</topic><topic>Decentralized control</topic><topic>Design engineering</topic><topic>distributed backstepping design</topic><topic>Distributed control</topic><topic>Dynamical systems</topic><topic>Exact sciences and technology</topic><topic>Industrial metrology. Testing</topic><topic>Large-scale systems</topic><topic>Lattices</topic><topic>Lyapunov functions</topic><topic>Lyapunov method</topic><topic>Mechanical engineering. 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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</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAC.2006.886533</doi><tpages>6</tpages></addata></record> |
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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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