Research On Robust Control Of Switched Systems

The technology of automatic control is more and more important in many fields of modern science and technology. It has been widely used in many departments, such as manufacturing, transportation, aeronautics and space, agriculture and so on. It contributed much effect to world civilization. In actual applications, switched systems can be used to describe many systems. In recent years, with the theory of switched systems being brought, the research on the switched systems has attracted even more attention.Because switched systems have special properties, the research is difficult and complex. The stability of switched systems not only has relationship with subsystems, but the switching strategy is very important. In the actual system, the uncertainties are widespread. Therefore research on robust control of uncertain switched systems is necessary. This dissertation studies robust control problems for some kinds of uncertain switched systems. The main results are summarized as follows.Firstly, Robust stabilization of a class of uncertain switched linear systems is considered. The systems not only exit disturbances which do not satisfy the so-called matching condition and contain uncertainties in the input channel, but have uncertainties in the state matrix. By using common Lyapunov function and multiple Lyapunov function, the robust state-feedback controllers are constructed .The switching strategy is also designed. With the given switching laws, the controllers guarantee that the states of systems are robust stabilization.Then, Robust stabilization of a class of uncertain switched neutral linear systems with time-delay is considered. The systems not only contain uncertainties in state matrixes, but the time-delay matrixes are uncertain. Based on Lyapunov theory and linear matrix inequalities, the robust state-feedback memory controller and memoryless controller are designed respectively. With the given switching laws, the controllers guarantee that the states of systems are robust stabilization.Finally, the results of the dissertation are summarized and the further research problems are pointed out.