Passivity Of Singular Systems And Synchronization Analysis Of Chaotic Systems  Posted on:20110213  Degree:Doctor  Type:Dissertation  Country:China  Candidate:Y B Gao  Full Text:PDF  GTID:1118360305499215  Subject:Operational Research and Cybernetics  Abstract/Summary:  PDF Full Text Request  The passivity of singular nonlinear systems and the synchronization analysis of chaotic systems are very important research fields in the complex system control theory. Due to the complexity of the nonlinear system, the research on the passivity of singular systems and the synchronization analysis of chaotic systems is now in a developing stage, development of passive control for singular systems and of chaos synchronization are of two important research contents in the control theory. At present, there are many problems to be solved, such as the passive control for the singular nonlinear systems, the passivity analysis of nonlinear singularly perturbed systems, the dissipative masterslave synchronization of chaotic systems, the impulsive synchronization of discretetime chaotic systems, the dynamic output feedback controller design for driveresponse synchronization of chaotic systems, and so on. The major contributions of this dissertation are as follows.(1) The passive control problems are studied for the continuous singular systems with nonlinear perturbations. By using the Banach FixPoint Principle, PicardLindelof Theorem and the Lyapunov approach, the passivity condition, the condition for the existenceuniqueness of solution and exponential stability condition are derived for this class of systems, and the unified formula which includes these sufficient conditions is firstly expressed in terms of linear matrix inequalities, then the statefeedback controller based on passivity is designed.(2) The passivity analysis problems are addressed for the uncertain singularly perturbed systems. Based on Lyapunov stability theory and a singular system approach, the KlimushchevKrasovskii Lemma is firstly formulated in terms of linear matrix inequalities, and some sufficient conditions of asymptotic stability and passivity for this class of systems are given, then the maximum stability bound for the uncertain singularly perturbed systems can be obtained via solving the generalized eigenvalue problem.(3) The dissipative masterslave synchronization problems are investigated for chaotic systems under information constraints. By using sampleddata method, LyapunovKrasovskii approach and free weighting matrix technique, in which the transmissioninduced time delay, data packet dropout and measurement quantization have been taken into consideration, the dissipative synchronization criterion for the masterslave synchronization of chaotic systems is firstly derived in the form of a linear matrix inequality, and the dissipative quantized statefeedback controller is designed.(4) The impulsive synchronization problems are considered for the discretetime chaotic systems subject to limited communication capacity. Control laws with impulses are derived by using measurement feedback, where the effect of quantization errors is considered, sufficient conditions for asymptotic stability of synchronization error systems are firstly given in terms of linear matrix inequalities and algebraic inequalities.(5) The driveresponse synchronization problems are discussed for chaotic systems via timevarying dynamic output feedback controller. Based on the LyapunovKrasovskii approach, a novel synchronization criterion is firstly obtained and formulated in the form of a linear matrix inequality, and a sufficient condition on the existence of a timevarying dynamic output feedback controller is derived.
 Keywords/Search Tags:  Singular systems, singularly perturbed systems, chaotic systems, linear matrix inequalities, asymptotic stability, passivity, passive control, state feedback, dynamic output feedback, timevarying delay, quantization, information constraints  PDF Full Text Request  Related items 
 
