Robust Control Of Linear System Containing Saturating Actuators

Recently, robust control has been one of the fundamental problems in control theory and control engineering, due to its model's uncertainty and outside disturbance. At the same time, H, H2 optimization design also attracts many researchers because of its relativity to robust control.A universal character of actuator is saturation in control system. Recently, analysis and synthesis of a linear system with saturating actuators attracts many researchers. But the results are, always relative to stabilization. Few papers are concerned with system's dynamic performance. On one hand, it is difficult to study a nonlinear system, on the other hand, the methods in many papers may be somewhat conservative. For example, when Popov rule is applied to this kind of system, it is actually a problem of absolute stabilization which results in the conservative.To get a better result, H control and H2 control and the position of the pole of closed loop system will be considered in this thesis. BIBO problem of singular systems with input saturation is also discussed , The main contents are as follows:1. The historical development of robust control is reviewed.Especially the fundamental results of the system with saturating actuators and its main research directions in the future.2. The problem for linear matrix inequality application in controltheory is discussed.3. For a class of uncertain continuous system with saturatingactuators, the new stability conditions and design methods of stabilizing robust controller are proposed, which guarantee the pole of the closed loop to lie in the given disk.4. For a class of uncertain continuous system with saturatingactuators, the new stability conditions and design methods of stabilizing robust controller are proposed, which guarantee the given //?-, H2 performance index.5. A BIBO stability conditions and design methods of stabilizingcontroller are proposed, considering the singular systems with input saturation.