| DECENTRALIZED CONTROL FOR NONLINEAR DYNAMICAL SYSTEMS: AN L_2-GAIN CONTROL APPROACH |
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| 作者姓名： | Gong Cheng |
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| 作者单位： | Gong Cheng(Department of Eletronic Engineering，Northwestern PolytechnicalUniversity，Xi'an，710072，China)S. Thompson(Department of Mechanical and Manufacturing Engineering，The Queen's Universityof Belfast，Belfast BT9 5Ah，United Kingdom)Dai Guanzhong( |
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| 摘 要： | Forsmoothnonlinearsystems,theproblemsofdisturbanceattenuationandrobuststabi-lhationwererelatedtogetherrecently"'J,whilethefirsttwoauthorsweremotivatedbytheexcitingadvancesinthenonlinearHco-(orL,-gain)control3'4'5J.ThekeypointliesinthefactthattheL,-gainbound,Y,ofanonlinearsystemwithrespecttoagivendisturbanceoutputpair,alsocharacterizesthesystemstolerancetouncertainmedellingperturbations,providedthatasuitableobservabilityconditionissatisfied.Inparticular,itwasestablishedthat,forasystemtobest…
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DECENTRALIZED CONTROL FOR NONLINEAR DYNAMICAL SYSTEMS: AN L_2-GAIN CONTROL APPROACH |
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| Gong Cheng.DECENTRALIZED CONTROL FOR NONLINEAR DYNAMICAL SYSTEMS: AN L_2-GAIN CONTROL APPROACH[J].Chinese Journal of Aeronautics,1997(2). |
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| Authors: | Gong Cheng |
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| Abstract: | A control method is presented for the problem of decentralized stabilizationof large scale nonlinear systems by designing robust controllers, in the sense of L2-gaincontrol, for each subsystem. An uncertainty tolerance matrix is defined to characterize thedesired robustness leve1 of the overall system. It is then identified that, for a given uncer-tainty tolerance matrix, the design problem is related to the existence of a smooth Positivedefinite solution to a modified Ham ilton -Jacobi - Bellman (H-J-B ) equa tion. The solution,if exists, is exactly the payoff function in terms of the game theory. A decentralized statefeedback law is duly designed, which, under the weak assumption of the zero-state ob-servability on the system, renders the overall closed-loop system aspoptotically stable withan explicitly expressed stability region. Finally, relation between the payoff function andthe uncertainty tolerance matrix is provided, highlighting the "knowing less and payingmore" philosophy. |
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| Keywords: | nonlinear systems dynamical systems control Hamilton-Jacobi-Bellman equation |
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