Decentralized Robust Control Theory And Its Application For Interconnected Uncertain Systems  Posted on:20030801  Degree:Doctor  Type:Dissertation  Country:China  Candidate:N Chen  Full Text:PDF  GTID:1118360125458133  Subject:Control theory and control engineering  Abstract/Summary:  PDF Full Text Request  This paper discusses decentralized robust control theory and its applications for largescale interconnected systems. Beginning with the overview of the development and the present situation of decentralized robust control theory, the paper focuses on the decentralized state feedback and output feedback control for largescale uncertain systems, decentralized passive control, decentralized HÃ¢Ë†Å¾, control and decentralized output tracking control for largescale system with timedelay, and the application to the process of zinc hydrometallurgy. The research consists of the following seven sections:Section 1 firstly proposes a design approach for decentralized HÃ¢Ë†Å¾ control using state feedback for largescale uncertain system based on the linear matrix inequalities(LMIs). And then, the studies come to decentralized reliable HÃ¢Ë†Å¾ control problem when possible actuator failures occur within prespecified subset of actuators, and a design approach for the existence of a decentralized robust reliable HÃ¢Ë†Å¾, controller is presented. After that, the decentralized HÃ¢Ë†Å¾, control problem for a class of interconnected uncertain systems with time varying but normbounded parametric uncertainties is addressed and a sufficient condition which makes the closedloop system decentralized asymptotically stable with disturbance attenuation is derived. Examples are given to demonstrate the effectiveness of the design approaches.Section 2 studies the decentralized robust HÃ¢Ë†Å¾, observerbased control for a class of interconnected uncertain systems with timevarying uncertainties both in state and control matrices. A design method is derived for decentralized observerbased controller, which makes the closedloop system quadratically stable with an HÃ¢Ë†Å¾norm bound for any admissible uncertainties. We obtain a design algorithm for decentralized observerbased controller on the basis of LMI conditions. Finally, a numerical example is given to demonstrate the design procedure for the decentralized HoÃ¢Ë†Å¾ observerbased feedback controller.Section 3 proposes a new parameterization approach to decentralized HÃ¢Ë†Å¾ output feedback controller and a cross iterative algorithm for decentralized HÃ¢Ë†Å¾ output feedback control design. By fixing some of the optimization variables of nonlinear matrix inequality, the decentralized output feedback problem can be converted to linear matrix inequality. Then the decentralized control problem turns to be some convex optimizations. The example shows the excellent convergence, directness and simplicity of computation, and convenience in application. Based on the research, the decentralized HÃ¢Ë†Å¾ output feedback control is studied for largescale systems with structured uncertainties. The uncertainty is assumed to be polytopic. With the strong robust HÃ¢Ë†Å¾ performance criterion proposed, a sufficient condition and an iterative algorithm for theAbstractexistence of dynamic output feedback H controllers are given in terms of linear matrix inequalities. Also a given example shows the effectiveness of the algorithm.Section 4 studies the decentralied passive control of a class of largescale systems with normbounded uncertainties by means of applying the notion of passivation to the decentralized control problem of largescale systems and a sufficient condition for interconnected uncertain system to be asymptotically stable with strict passivity is given in terms of linear matrix inequality. A detailed simulation example is given to illustrate the theoretical developments.Section 5 proposes a decentralized H controller design approach for a class of interconnected uncertain systems with multiple delays in the state and control and time varying but normbounded parametric uncertainties. It is based on the existence of the solution to the LMI and the application of the Lyapunov stability theorem. The designed controller enables the closedloop system decentralized asymptotically stable and satisfies the H performance attenuation.Section 6 discusses the decentralized robust tracking control problem for interconnected timed...
 Keywords/Search Tags:  largescale interconnected system, decentralized robust control, Haâˆžcontrol, uncertainties, state feedback, output feedback, passive control, output track, LMI, time delay  PDF Full Text Request  Related items 
 
