Adaptive Event-triggered Finite-time Control Of Nonlinear Systems

With the development of computer and communication technology,a new type of large-scale resource-constrained wireless embedded control system has appeared.In the classical sample-data control framework,the output of the controller is applied to the system at any time instant,regardless of whether the system needs attention or not.This may not be appropriate when the network resources are limited.In the above-mentioned system,the design idea that the information between the controller and the sensor is transmitted when necessary has prompted the emergence of event-triggered control.In addition,event-triggered control can not only meet the system performance requirements,but also save resources to a certain extent,which has attracted widespread attention from the academic community.Therefore,this paper attempts to study several control problems of high-order uncertain nonlinear systems based on event-triggered control.The main contents of this paper are mainly carried out from the following two aspects:I.Fast finite-time adaptive event-triggered tracking control design for high-order uncertain nonlinear systemsThis part investigates the fast finite-time adaptive tracking control via event-triggered mechanism for a class of high-order uncertain nonlinear systems.An adaptive tracking controller is constructed for the first time by utilizing a new fast finite-time performance function and a serial of transformations equipped with a barrier function and eventtriggering rules,which guarantees that the tracking error is restricted in a time-varying prescribed region and converges to an arbitrarily small constant in a faster speed compared to some traditional finite-time control strategies.A remarkable feature of this paper is to avoid Zeno phenomenon without taking a derivative with respect to the absolute value of the event-triggered error which may not be differentiable at some discrete points.Finally,a simulation example is provided to verify the feasibility and effectiveness of theoretical results.II.Fast finite-time adaptive event-triggered stable control design for high-order uncertain nonlinear systemsThis part is concerned with the global fast finite-time adaptive stabilization for a class of high-order uncertain nonlinear systems in the presence of serious nonlinearities and constraint communications.By renovating the technique of continuous feedback domination to the construction of a serial of integral functions with nested sign functions,this part first proposes a new event-triggered strategy consisting of a sharp triggered rule and a time-varying threshold.The strategy guarantees the existence of the solutions of the closed-loop systems and the fast finite-time convergence of original system states while reaching a compromise between the magnitude of the control and the trigger interval.Quite different from traditional methods,a simple logic is presented to avoid searching all the possible lower bounds of trigger intervals.An illustrated example is provided to demonstrate the effectiveness and superiority of the proposed strategy.