Summary and Remarks
Standard and Ad-Hoc Approaches
- POD
- Balanced Truncation for Linear Systems
- Application: RTP Heat Transfer
Computing Balanced Realizations for Nonlinear Systems
- Stochastic Methods for Computation
- Exact solutions: second-order mechanical systems
- Algorithms for computing the Morse coordinate transformation
- Balanced Realizations
- Forced, Damped Pendulum System
- Forced, Damped Double Pendulum System
Shortcomings (opportunities)
- O(pn) complexity of algorithms
- Restrictive conditions for exact solutions of controllability function
MATLAB Toolbox for Nonlinear Balancing