Exploitation of Computational Control Theory

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The objective of this research project is to exploit a new field for control theory called "Computational Control Theory" which gives numerical methods using computational power for obtaining sub-optimal solutions for control problems which are hardly solved theoretically. In this term of project the following results have been obtained.1. Iterative methods for obtaining sub-optimal numerical solutions to multi-objective control problems : For multi-objective control problems we have proposed a numerical method using sub-level sets, an exterior point method and a bi-section method, and show the effectiveness using some numerical examples.2. System identification methods for gray-box models : For parameter estimation problem for gray-box models we have given some numerical methods based upon SOS (sum of squares) optimization methods, and given a robustness analysis method.3. Robust control design methods for bi-linear systems : From the optimality condition for the L2 gain optimization problem in bi-linear systems Riccati-type inequalities including state variables are derived. For such inequalities we have given a numerical method based upon SOS (sum of squares) optimization methods to obtain a feasible solution.4. Numerical methods for input-saturated systems : For input-saturated systems we have proposed a new representation form using polynomials, and given numerical methods for obtaining feasible solutions to robust analysis/design problems for such systems.5. Parallel computing : We have constructed a PC cluster system for parallel computing, and applied it to solve some control design problems.