文摘
英文文摘
论文说明:List of Figures,List of Tables,List of Routines
声明
Chapter 1 Introduction
1.0 Background
1.1 General Constrained Nonlinear Problem
1.2 Optimization of PID Controllers
1.2.1 Parallel PID Structure
1.2.2 Non-interacting Ideal PID Structure
1.2.3 Interacting PID Structure
1.2.4 Practical Rules of Tuning
1.3 Motivation
1.4 Goal
1.5 Thesis Structure
Chapter 2 SQP for General Constrained Nonlinear Programming
2.0 Introduction
2.1 Mechanics of the standard SQP algorithm
2.1.1 Extension to inequality constrained NLP
2.2 Active set method for solving QP subproblems
2.2.1 Active set Method
2.3 Primal Active set method
2.3.1 Case study
2.3.2 Optimality Conditions for Standard QP
2.3.3 Evaluation of Descent Directions
2.3.4 Step length Computation
2.3.5 Swapping constraint indices from working set Wk
2.3.6 Determination of a feasible starting point
2.3.7 Cycling problem in Active set methods
2.4 Dual Active set method
2.4.1 Case study
2.4.2 Termination
2.5 Solutions of Equality Constrained QP Problems
2.5.1 Range Space method
2.5.2 Null Space method
2.6 Demonstration of the standard SQP algorithm - Example 2.1
2.7 Remarks
Chapter 3 The Proposed Infeasible Interior Point Method for QP
3.0 Background
3.1 Primal-Dual Interior Point Method
3.1.1 Primal formulation of IPM
3.1.2 Dual formulation of IPM
3.1.3 Optimality conditions for QP problems
3.1.4 Evaluation of Descent Directions
3.1.5 Step length and Next point
3.1.6 Termination of IIPM algorithm
3.1.7 Summary of the proposed Primal-dual IIPM algorithm
3.2 BFGS Hessian Update Procedure
3.3 Line Search and Quadratic Search algorithms
3.3.1 Line Search for minimizing Merit Functions
3.3.2 Quadratic Search for minimizing Merit Functions
3.4 Remarks
Chapter 4 The Proposed SQP/IIPM Algorithm
4.0 The proposed SQP/IIPM algorithm
4.1 Mechanics of SQP/IIPM algorithm
4.2 The choice of Merit function
4.2.1 Merit Function for Line Search Algorithm
4.2.2 Merit Function for Quadratic Search Algorithm
4.3 Termination of SQP/IIPM algorithm
4.4 The complete SQP/IIPM algorithm
4.5 Demonstration of SQP/IIPM algorithm - Example 4.1
4.6 Remarks
4.7 SQP/IIPM Optimization System GUI
4.7.1 Problem Definition M-File
4.7.2 Optimization Options Specifications
Chapter 5 Performance Evaluation
5.0 Numerical optimization - Benchmarking
5.1 Optinaization method for PI/PID parameter synthesis
5.1.1 Optimization of a PI controller for a 1st order system
5.1.2 Optimization of a PID controller for a 1st order system
5.1.3 Numerical Optimization ofa PID controller for a 2nd order system
5.2 Optimization of PI/PID Controller parameters- Example
5.2.1 1 st Order Plant with a PI Controller- Example 5.1
5.2.2 2nd Order Plant with a PID Controller- Example 5.2
5.3 Remarks
Chapter 6 Conclusions and Future Work
6.0 Conclusion
6.1 Future work
References and Bibliography
Acknowledgement
Research Foundations and Papers Published
