This paper studies the problem of tracking control for a class of switched nonlinear systems with time-varying delay. Based on the average dwell-time and piecewise Lyapunov functional methods, a new exponential stability criterion is obtained for the switched nonlinear systems. The designed output feedback H∞controller can be obtained by solving a set of linear matrix inequalities(LMIs).Moreover, the proposed method does not need that a common Lyapunov function exists for the switched systems, and the switching signal just depends on time. A simulation example is provided to demonstrate the effectiveness of the proposed design scheme.
To improve the dynamic characteristics and the coupling capability,a new predictive functional control algorithm is proposed for strong coupling multivariable systems with time delay,which combines predictive functional control and decoupling control.First,a decoupling control algorithm is proposed,in which frst-order models with time delay are established by analyzing the amplitude-frequency and phase-frequency characteristics of the decoupled subject.Then,a controller is designed for the single-variable subjects after decoupling based on the principles of predictive functional control.The simulation results show that this proposed algorithm has less online computation time and faster tracking.It can provide a more effective control for complex multivariable systems.
This paper investigates the problem of global output feedback stabilization for a class of feedforward nonlinear systems via linear sampled-data control. To solve the problem, we first construct a linear sampled-data observer and controller. Then, a scaling gain is introduced into the proposed observer and controller. Finally, we use the sampled-data output feedback domination approach to find the explicit formula for choosing the scaling gain and the sampling period which renders the closed-loop system globally asymptotically stable. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.
