Research On Switching System Model Reference Adaptive State Tracking Control Problem

The switching system is a typical hybrid system with important theoretical research value as well as extensive engineering application background.In the actual control system,the mathematical model describing the system itself contains unknown or random factors.At this time,the conventional feedback control method may not be used or the control effect is unsatisfactory.Therefore it is more theoretical and practical to study switching systems with uncertainties.Because the continuous dynamics,discrete dynamics and uncertainties in such systems exist and interact at the same time.The behavior of the system becomes extremely complicated,and the system operation mechanism is far from clear.Although a large number of analysis and comprehensive problems need to be solved urgently,the research is still very limited.In this paper,the model reference adaptive state tracking control problem of the switching system is studied.The corresponding switching signals,switching controllers and switching adaptive laws are designed.And the actuator failure and controller failure of the system are studied separately.The content is summarized as follows:In the first chapter,we organize the development history and research status of hybrid systems,switching systems after reading a large number of references.The different adaptive control schemes of adaptive control in various fields are briefly described.In the second chapter,the preliminary knowledge.The research significance of model reference adaptive control,the stability theory of Lyapunov function and the Lyapunov stability of the switched system are introduced.In the third chapter,the model reference adaptive control of a class of switched systems based on Lyapunov stability theory is studied,and the corresponding adaptive law is designed.The simulation results show that the state tracking error asymptotically converges,which verifies the effectiveness of the design method.In the fourth chapter,the state tracking problem of a class of nonlinear uncertain systems is studied in the case of controller failure and recovery in a limited time.The solvable sufficient conditions for the model reference adaptive state tracking problem with controller failure aregiven.The system with controller failure is converted into error switching system,and the switching adaptive law is designed.Using the dwell time method,the result is that the error switching system is globally practical and stable.Last but not least,we summarize the research work of this paper.The problems to be paid attention to in the future research,and the directions to be improved are put forward.