Reset The Control System Analysis And Its Application In The Cue Systems

Reset control is a hybrid control scheme. It resembles a number of popular nonlinear control strategies including relay control, sliding-mode control and switching control. A common feature to these schemes is the use of a switching surface to trigger change in control signal. Distinctively, reset control employs a same control law on both sides of the switching surface. A reset controller consists of a continuous baseline controller and a reset mechanism which resets part of the controller states to zero whenever some triggering signal crosses certain surface. The reset action renders a discontinuity (a jump) in the system trajectory.The main motivation of introducing reset in control loop is to overcome some inherent limitations of linear feedback control design. It motivates the further development of control systems theory, extends the basic concepts and approaches of control theory. It also puts more challenging theoretical problems many of which are still open.In this thesis, the dynamical behaviors performances of reset control system and its practical application on a kind of ball and beam systems are investigated. Firstly, fundamental theory of reset control systems is reviewed. Especially, the benefit of using reset is demonstrated through examples and simulations. Basic stability results of reset control systems including quadratic stability are also presented. Secondly, stability of nonlinear reset control systems is studied. It is proven that if only a weak Lyapunov function is available to prove the stability of the baseline system and the reset mapping is weak dissipative, asymptotical stability can still be assured provided that the baseline dynamics is analytic. Thirdly, a kind of reset PID controller based on advanced reset scheme is proposed in this thesis. Simulation results show that the proposed reset PID design leads to better transient performance. Finally, the proposed method is applied to a kind of ball and beam systems. Simulation and experimental results show that the proposed reset PID is better than those of the classical PID control and traditional reset control.