Section 1.1 A Brief History of Control Theory Robust Control Theory Model uncertainty is fully considered in robust control theory. Robustness:Insensitive to the model uncertainty. Tools:Combined frequency domain and state space method Important results: Youla parameterization (Youla et al.,1976) (Important idea in modern design methods) Hoo control (Zames,1981) State space solution to the Hoo control(Doyle et al.,1989) Problems that need to be clarified for deeper and more comprehensive studies.For example: How does the design relate to the frequency response? 2 How to reduce the complexity of the design and the result? Zhang,W.D..CRC Press.2011 Version 1.0 8/31
Section 1.1 A Brief History of Control Theory Robust Control Theory Model uncertainty is fully considered in robust control theory. Robustness: Insensitive to the model uncertainty. Tools: Combined frequency domain and state space method Important results: Youla parameterization (Youla et al., 1976) (Important idea in modern design methods) H∞ control (Zames, 1981) State space solution to the H∞ control (Doyle et al., 1989) Problems that need to be clarified for deeper and more comprehensive studies. For example: 1 How does the design relate to the frequency response? 2 How to reduce the complexity of the design and the result? Zhang, W.D., CRC Press, 2011 Version 1.0 8/31
Section 1.1 A Brief History of Control Theory Linear Matrix Inequalities A powerful theoretical tool.Perhaps the hottest direction during 1990s and 2000s in control area.Numerous papers were published with this topic in top journals. Tools:State space method Important results: o Interior-point method in convex programming (Nesterov and Nemirovsky,1994) o Linear mateix inequalities in control (Boyd,et al.,1994) Problems that need to be clarified for deeper and more comprehensive studies.For example: How to solve linear matrix inequalities? How to reduce the complexity? 4口，+@，4定4=定0C Zhang,W.D..CRC Press.2011 Version 1.0 9/31
Section 1.1 A Brief History of Control Theory Linear Matrix Inequalities A powerful theoretical tool. Perhaps the hottest direction during 1990s and 2000s in control area. Numerous papers were published with this topic in top journals. Tools: State space method Important results: Interior-point method in convex programming (Nesterov and Nemirovsky, 1994) Linear mateix inequalities in control (Boyd, et al., 1994) Problems that need to be clarified for deeper and more comprehensive studies. For example: 1 How to solve linear matrix inequalities? 2 How to reduce the complexity? Zhang, W.D., CRC Press, 2011 Version 1.0 9/31
Section 1.1 A Brief History of Control Theory Linear Matrix Inequalities A powerful theoretical tool.Perhaps the hottest direction during 1990s and 2000s in control area.Numerous papers were published with this topic in top journals. Tools:State space method Important results: o Interior-point method in convex programming (Nesterov and Nemirovsky,1994) o Linear mateix inequalities in control (Boyd,et al.,1994) Problems that need to be clarified for deeper and more comprehensive studies.For example: How to solve linear matrix inequalities? 2 How to reduce the complexity? 4口，+@，4定4=定0C Zhang,W.D..CRC Press.2011 Version 1.0 9/31
Section 1.1 A Brief History of Control Theory Linear Matrix Inequalities A powerful theoretical tool. Perhaps the hottest direction during 1990s and 2000s in control area. Numerous papers were published with this topic in top journals. Tools: State space method Important results: Interior-point method in convex programming (Nesterov and Nemirovsky, 1994) Linear mateix inequalities in control (Boyd, et al., 1994) Problems that need to be clarified for deeper and more comprehensive studies. For example: 1 How to solve linear matrix inequalities? 2 How to reduce the complexity? Zhang, W.D., CRC Press, 2011 Version 1.0 9/31
Section 1.1 A Brief History of Control Theory Model Predictive Control Some similar algorithms used in process industries. Process control:Control temperature,pressure,flow rate,level, consistence,etc.,which are usually appears in industrial processes Tools:Input-output method(frequency domain or polynomial) Important results: Model Algorithmic Control(Richalet et al.,1978) o Dynamic Matrix Control (Culter and Remaker,1979) o Internal model control (Morari,1982;1989) (Explains some important problems of control system design in a simple and direct framework) Problems that need to be clarified for deeper and more comprehensive studies.For example: How does the design relate to the frequency response? How to treat the MIMO design? 4口，4@，4定生， 定9AC Zhang,W.D..CRC Press.2011 Version 1.0 10/31
Section 1.1 A Brief History of Control Theory Model Predictive Control Some similar algorithms used in process industries. Process control: Control temperature, pressure, flow rate, level, consistence, etc., which are usually appears in industrial processes Tools: Input-output method (frequency domain or polynomial) Important results: Model Algorithmic Control (Richalet et al., 1978) Dynamic Matrix Control (Culter and Remaker, 1979) Internal model control (Morari, 1982; 1989) (Explains some important problems of control system design in a simple and direct framework) Problems that need to be clarified for deeper and more comprehensive studies. For example: 1 How does the design relate to the frequency response? 2 How to treat the MIMO design? Zhang, W.D., CRC Press, 2011 Version 1.0 10/31