Class Of Non-minimum Phase Nonlinear Systems Research Articles

Periodic Event-Triggered Control for a Class of Nonminimum-Phase Nonlinear Systems Using Dynamic Triggering Mechanism

In this paper, the output feedback based periodic event-triggered control problem is considered for a class of nonminimum-phase nonlinear systems via dynamic event-triggering mechanism. When only the sampled-data output is known, a new periodic event-triggered control method is proposed via output feedback and the control input updates based on a discrete-time dynamic event-triggering condition. Despite the unstable zero dynamics, the proposed control method can asymptotically stabilize the hybrid control systems by closing the loop only when it is necessary. In contrast to the continuous-time static one, the proposed dynamic triggering condition has several advantages including the easier digital implementation and the larger average inter-event time interval. The delicate analysis gives the explicit expression of the maximum allowable sampling period, and the global asymptotic stability can be achieved for the hybrid control systems. Finally, the effectiveness of the proposed periodic event-triggered control method is verified by a numerical simulation.

Global Stabilization of a Class of Nonminimum-Phase Nonlinear Systems by Sampled-Data Output Feedback

In this technical note, global asymptotic stabilization by sampled-data output feedback is investigated for a class of nonminimum-phase nonlinear systems. Under a global Lipschitz condition imposing on both zero dynamics (i.e., the so-called driven system) and the driving system, together with a lower-triangular form, we prove that the nonminimum-phase system is globally stabilizable by a sampled-data dynamic output compensator that is composed of a nonlinear observer and a linear controller, both in discrete-time. The sampled-data feature makes the proposed output feedback controller easier for digital implementation.

Output feedback control of a class of nonminimum-phase nonlinear systems

Summary The problem of global stabilization by output feedback is investigated in this paper for a class of nonminimum-phase nonlinear systems. The system under consideration has a cascade configuration that consists of a driven system known as the inverse dynamics and a driving system. It is proved that although the zero dynamics may be unstable, there is an output feedback controller, globally stabilizing the nonminimum-phase system if both driven and driving systems have a lower-triangular form and satisfy a Lipschitz-like condition, and the inverse dynamics satisfy a stronger version of input-to-state stabilizability condition. A design procedure is provided for the construction of an n-dimensional dynamic output feedback compensator. Examples and simulations are also given to validate the effectiveness of the proposed output feedback controller. Copyright © 2016 John Wiley & Sons, Ltd.

Output Feedback Stabilization of Uncertain Nonminimum-Phase Nonlinear Systems

An output feedback design technique is presented. The design technique achieves semiglobal practical stabilization for a class of nonminimum-phase nonlinear systems, subject to parameter uncertainties. This work is an extension of the result by Isidori in 2000. It provides a constructive controller design method for an auxiliary system, whose existence is crucial but is only assumed in Isidori's work. The control design technique is is used to regulate the benchmark van de Vusse reactor. Simulation results demonstrate satisfactory controller performance.