Tutor: ChouJiQing

School: Hebei University of Science and Technology

Course: Applied Mathematics

Keywords: Nonliear systems Singular systems Time-delayed systems The linearmatrix inequality (LMI) Robust H-infinity control Robust H-infinityfiltering

CLC: TP13

Type: Master's thesis

Year: 2012

Downloads: 33

Quote: 0

Read: Download Dissertation

With the development of science and technology, Many scholars of control researchfield found a great many of the actual systems, such as the economic systems, cranesystems, robotic systems and electrical power network systems, etc. At the same time,these models generally have time-varying, time-delay, uncertainty, dispersion, nonlineardisturbances links, structural complexity and high dimensions, which makes it a greatchallenge, great difficulty and necessity for the study of the uncertain nonlinear singulartime-delayed system. Uncertain nonlinear singular time-delayed systems are composed ofby algebraic constraints, time-delayed differential equations and nonlinear uncertainties,which have a wide range of applications in various engineering systems, especially inlarge-scale grid control, large chemical systems, aerospace, wireless transmission lines,economic and artificial neural network systems. Therefore, the study of robust H-infinitycontrol and filter design problems for some uncertain nonlinear singular time-delayedsystems is with very important theoretical value and practical application significance.In this thesis, we investigate the robust H-infinity control and filter design problemsfor several classes of uncertain nonlinear singular time-delayed systems, the main workare generalized as follows:1) The robust H-infinity controller design problem for a class of uncertain nonlinearsingular systems with time delay both in the state equation and output equation is studied.Based on linear matrix inequality (LMI) method, we construct some new Lyapunovfunctions and a robust H-infinity controller. Using Matlab LMI Control Toolbox, we get aparameter expression of the robust H-infinity controller. Finally, a numerical example isgiven to show the validity and feasibility of the proposed method.2) Based on a new delay bounded real lemma, we discuss the problem of robustH-infinity controller design for a class of discrete-time nonlinear uncertain singularsystems with time delay both in the state equation and output equation. we design thememory robust H-infinity controller of such nonlinear uncertain singular discrete-timedelayed closed-loop systems which are asymptotically stable and satisfy the robustH-infinity performance index. Finally, a simulation example is given to verify the validityand applicability of the proposed method.3) The robust H-infinity filter design for a class of nonlinear uncertain singular systems with time-varying delay is investigated. Based on linear matrix inequality (LMI)method, we construct some new Lyapunov functions and a robust H-infinity filter. wedesign the robust H-infinity filter of such nonlinear uncertain delayed filtering errorsingular systems which are asymptotically stable and satisfy the robust H-infinityperformance index. Finally, two numerical examples are given to illustrate the validity andscientificalnessof the proposed method.4) The robust H-infinity filter design for a class of nonlinear uncertain discrete-timesingular systems with time delay is investigated. Based on linear matrix inequality (LMI)method, we construct some new Lyapunov functions and a robust H-infinity filter. UsingMatlab LMI Control Toolbox, we get a parameter expression of the robust H-infinity filter.Finally, the numerical simulation is given to verify the validity and practicality of thedesigned method |

- Dynamic Output Feedback Stabilization and Robust Stabilization of a Class of Affine Nonlinear Singular Systems,TP13
- The Analysis of Controllability, Observability and Stability of Discrete Non-square Singular Systems,TP13
- Observer-based feedback control of delay systems,TP13
- Robust Passive Control for Uncertain Singular Systems,TP13
- Mixed H
_{2}/H_{∞}Optimal Control Problems for Singular Systems,TP13 - Robust Dissipative generalized bilinear control systems,TP13
- Zero dynamics of nonlinear differential algebraic systems and stability analysis,TP13
- Delay switched singular systems control and filtering,TP13
- Optimization of generalized linear systems,TP13
- Stability Analysis and Robust Stabilization of Several Classes of Linear Systems,TP13
- Research on Filtering and Control for Wireless Networked Quantized Systems,TN92
- Dissipative Control for Continuous Stochastic Systems,TP13
- Design of Robust Pulse Controller for Uncertain Singular Systems,TP13
- Based on the theory of linear generalized distribution system analysis,TP13
- The Stability Analysis and Guaranteed Cost Control of Switched Singular System,TP13
- Proportional and Derivative Output Feedback Control of Singular Systems,TP13
- Stability and Stabilization for Singular Systems with Time-Delay,TP13
- Stability Analysis and Stabilization for Nonlinear Singular Systems,TP13
- Study of Numerically Stable Estimation for Singular Systems with Multiplicative Noise,TN911.7
- Stability Analysis and Stabilization for Bilinear Singular Systems and Singular Large-scale Systems,TP13
- Robust Stability and Robust H_∞ Control Problem for Nonlinear Singular System with Uncertainty,TP13

CLC: > Industrial Technology > Automation technology,computer technology > Automated basic theory > Automatic control theory

© 2012 www.DissertationTopic.Net Mobile