State Estimation And Feedback Stabilization For Descriptor Systems  Posted on:20110422  Degree:Doctor  Type:Dissertation  Country:China  Candidate:L Zhou  Full Text:PDF  GTID:1118360305499206  Subject:Operational Research and Cybernetics  Abstract/Summary:  PDF Full Text Request  Based on the recent research on the theory of descriptor system and singularly perturbed system, networked control methods and control methods with input saturation, this dissertation investigates state estimation and feedback control problems for descriptor systems. The main results in this dissertation are as follows:1. For continuous descriptor systems, a class of parametric generalized algebraic Riccati equations are proposed and the necessary and sufficient conditions for the existence of the solutions are obtained. In addition, the asymptotical property of the solution with respect to the parameter is given. Base on the asymptotical property, lowgain state feedback control law is proposed such that the liner descriptor system with input saturation is semiglobally asymptotically stable. Furthermore, a scheduling technique is proposed and global asymptotical stabilization feedback control law is obtained. For linear continuoustime descriptor systems subject to input saturation and external disturbance, simultaneous stabilization feedback control laws in both semiglobal and global sense are obtained.2. Semiglobal output regulation problem for linear descriptor systems with input saturation is investigated. Base on the asymptotical property of the solution of the parametric generalized algebraic Riccati equation, state feedback control law is designed to solve the output regular problem which involves no system transformation.3. Both coderdecoderestimator and coderdecodercontroller procedures are constructed for linear discretetime descriptor systems with a limited digital communication channel. The sufficient detectable and stabilizable conditions are proposed. In addition, when data package lost exists in the communication channel, the sufficient detectable and stabilizable conditions are also proposed.4. A new bounded real lemma is proposed for discrete descriptor systems, which indicates that the admissibility of the descriptor system with a prescribed Hâˆžlevel is equivalent to the admissibility of an augmented discrete singular system. Then the necessary and sufficient condition is proposed for the existence of the Hâˆžfiltering and an linear matrix inequality based design approach is presented for the desired filter.5. The concept of "singularly perturbed descriptor systems" is proposed and the robust stability problems for the system in both continuoustime and discretetime cases are studied. The singularly perturbed descriptor system under considered is with both timevariant nonlinearity and small perturbed parameter. By applying the fixedpoint principle and matrix inequality technique, a sufficient condition is presented via linear matrix inequality under which the solution exists and the system is globally exponentially asymptotically stable simultaneously.6. By applying bounded real lemma of linear continuoustime descriptor systems and linearizing transformation technique, an linear matrix inequality based filtering design approach is presented for linear singularly perturbed descriptor systems. It should be noted that the obtained results are independent of the small parameter, thus the numerical stiff problem can be avoided.
 Keywords/Search Tags:  Descriptor Systems, Singularly Perturbed Descriptor Systems, Input Saturation, Limited Information, Output Regulation, H_∞Filtering, Parametric Generalized Algebraic Riccati Equation, Linear Matrix Inequality  PDF Full Text Request  Related items 
 
