Dissertation > Excellent graduate degree dissertation topics show

Model Refinement of Second Order Dynamic Systems

Author: WangYu
Tutor: ZhangBiao
School: Harbin Institute of Technology
Course: Applied Mathematics
Keywords: Second order dynamics system Output feedback eigenstructureassignment Model refining
CLC: O19
Type: Master's thesis
Year: 2012
Downloads: 16
Quote: 0
Read: Download Dissertation

Abstract


Since in general there are errors between the theoretical models and the practicalsystems, error correction, i.e., model refinement, is highly desired. This thesis studies themodel refinement problem of second order dynamic systems using eigenstructureassignment approach. The basic idea is to transform the model refinement problem intothe eigenvalue and eigenvector assignment problem in linear time-invariant systems viaoutput feedback. By using output feedback eigenstructure assignment approach,eigenvalues and eigenvectors of the refined system are assigned to the desired targetvalues. First, based on eigenstructure assignment approach sufficient conditions for theexistence of solutions to damping matrix refinement problem, stiffness matrix refinementproblem, and simultaneous damping matrix and stiffness matrix refinement problem areestablished, and parametric expressions for the associated model refinement gainmatrices are given. The parameters contained in the gain matrices specify the non-uniqueness of thesolutions of the corresponding model refinement problems, which may be used to achieve othersystem property specifications beyond model refinement. Next, based on the obtained parametricsolutions to the model refinement problems, algorithms for the solutions to minimum gain modelrefinement of damping matrix, stiffness matrix, and both damping and stiffness matricesare proposed. The algorithms may give control systems with much optimality. The mainachievements of this thesis are as follows:(1) A sufficient condition for existence of a solution to the damping matrix (stiffnessmatrix) refinement problem is proposed, and parametric expressions for eigenvectors andgain matrix of the refined system are given.(2) A sufficient condition for existence of a solution to the simultaneous dampingmatrix and stiffness matrix refinement problem is proposed, and parametric expressionsfor eigenvectors and gain matrix of the refined system are given.(3) Based on the general parametric solution to the damping matrix (stiffness matrix)refinement problem, an algorithm for the solution to minimum gain model refinement ofdamping matrix (stiffness matrix) is proposed.(4) Based on the general parametric solution to simultaneous damping matrix andstiffness matrix refinement problem, an algorithm for the solution to minimum gainmodel refinement of both damping matrix and stiffness matrix is proposed.

Related Dissertations

  1. Output Feedback Robust Control of Uncertain Switched Linear Discrete Time Systems with Multi-delays,TP13
  2. Dynamic Output Feedback Stabilization and Robust Stabilization of a Class of Affine Nonlinear Singular Systems,TP13
  3. Static output feedback controller design,TP13
  4. Robust Dissipative Control for a Class of Uncertain Singular Nonlinear System,TP13
  5. Research on Oranically-Structured of Expanding Large Scale Systems Based on Parameter Optimization,TP273
  6. Nonlinear Output Feedback Control of a Hypersonic Vehicle,V249.1
  7. Control of the Stability for Stochastic Systems,TP13
  8. Analysis and Design for a Class of Nonlinear Systems Under Communication Constraints,TP13
  9. Robust Control of Uncertain Nonlinear T-S Fuzzy Systems,TP13
  10. PI output feedback of networked control systems modeling and analysis,TP273
  11. Proportional-Integral Output Feedback Controller Design of Networked Control Systems,TP273
  12. Proportional and Derivative Output Feedback Control of Singular Systems,TP13
  13. Static Output Feedback Robust Optimal Control Based on Structured Lyapunov Matrix,TP13
  14. Attitude Control of Mars Probe Based on Sliding Mode Variable Structure,V448.222
  15. Research on Practical Tracking Control by Output Feedback for Uncertain Nonlinear Systems,TP13
  16. Static Output Feedback Control for Descriptor Systems,TP13
  17. Delay stabilization and robust control of the random system,TP13
  18. Output feedback control for uncertain nonlinear systems,TP13
  19. Basic Research on Refining of High Titanium Ferroalloy Based on Thermite Reduction,TF64
  20. A class of discrete linear time-invariant system output feedback stabilization,TP13
  21. Robust Fault-tolerant Control for Time-Delay Systems,TP13

CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory
© 2012 www.DissertationTopic.Net  Mobile