Basic Research on Fusion of Control Theories towards A New Generation of System Control Engineering

A fundamental issue of control technologies of the next generation is the integration of control theories that cover a wide range of areas：modelling of intrinsically nonlinear control systems，design and installation of control laws，and exploitation of computational power。This research project has been succesful in bringing researchers on the above mentioned areas in on discussions，presenting new research results of their own，and creating new directions for integrated control technologies。Eight research meetings and an organized session of a control conference during the project period materialized the plans into practice.Contributions of the project are summarized as follows：·modelling compatible with robust control theories，·modelling with implicit systems and hybrid systems，·robust control for infinite dimensional systems，·control and analysis of nonholonomic systems，As for control，theories dealing with nonlinearities that are common in practical control systems are discussed.This includes control and analysis of nonholonomic systems and nonliner H*control.As for control theories exploiting computational power，a condition for robust stability of sample data control is considered。Also a connection between linear matrix inequalities and information geometry is analyzed。The integration of control theories has been just started，but it certainly is on its way。

A fundamental issue of control technologies of the next generation is the integration of control theories that cover a wide range of areas : modelling of intrinsically nonlinear control systems, design and installation of control laws, and exploitation of computational power. This research project has been succesful in bringing researchers on the above mentioned areas in on discussions, presenting new research results of their own, and creating new directions for integrated control technologies. Eight research meetings and an organized session of a control conference during the project period materialized the plans into practice.Contributions of the project are summarized as follows :・modelling compatible with robust control theories,・modelling with implicit systems and hybrid systems,・robust control for infinite dimensional systems,・control and analysis of nonholonomic systems,・theories and applications of nonlinear H* control,・stability analisys of sample data systems, and・control theories based on optimization such as linear matrix inequalities.As for modelling, topics such as identification for robust control, and set membership identification were discussed. As for control, theories dealing with nonlinearities that are common in practical control systems are discussed. This includes control and analysis of nonholonomic systems and nonliner H* control. As for control theories exploiting computational power, a condition for robust stability of sample data control is considered. Also a connection between linear matrix inequalities and information geometry is analyzed. The integration of control theories has been just started, but it certainly is on its way.