Problem Of Global Output Feedback Stabilization Research Articles

Design of a Disturbance Rejection Controller for a Class of Nonholonomic Systems with Uncertainties

This study investigates the global output feedback stabilization problem for one type of the nonholonomic system with nonvanishing external disturbances. An extended state observer (ESO) is constructed in order to estimate the external disturbance and unmeasurable system states, in which the external disturbance term is seen as a general state. Thus, a new generalized error dynamic system is obtained. Accordingly, a disturbance rejection controller is designed by making use of the backstepping technique. A control law is given to ensure that all the signals in the closed-loop system are globally bounded, while the system states converge to an equilibrium point. The simulation example is proposed to verify that the control algorithm is effective.

Global Output Feedback Sampled-Data Stabilization of a Class of Switched Nonlinear Systems in the p-Normal Form

The global output feedback stabilization problem is investigated in this paper via sampled-data control for switched nonlinear systems in the p-normal form. First, a reduced-order state observer is designed. Then, an output feedback sampled-data controller is constructed with the relaxation of some restrictions of switched nonlinear systems. The proposed controller can ensure that all states of the corresponding closed-loop system can converge to the origin. Simulation results are given to show the effectiveness of the proposed scheme.

Global Output Feedback Stabilization of a Class of Nonlinear Systems With Unknown Measurement Sensitivity

This note investigates the problem of global output feedback stabilization for a class of nonlinear systems with unknown measurement sensitivity. A new design method, namely dual-domination approach , is proposed to explicitly construct a state observer as well as an output feedback control law, which globally asymptotically stabilizes the nonlinear systems. The novelty of this note owes to a distinct perspective in coping with unknown measurement sensitivity which has previously been a hurdle to solve the global output feedback stabilization problem of the nonlinear systems.

Global Output-Feedback Adaptive Stabilization for Planar Nonlinear Systems with Unknown Growth Rate and Output Function

This paper studies the problem of global output-feedback stabilization by adaptive method for a class of planar nonlinear systems with unmeasurable state dependent growth and unknown output function. It is worth emphasizing that not only the growth rate, but also the upper and lower bounds of the derivative of output function are not required to be known in the paper. To solve the problem, we propose a new adaptive output-feedback control scheme based on only one dynamic high-gain, by skillfully constructing the new Lyapunov function, and flexibly using the ideas of universal control and backstepping. It is shown that the state of the closed-loop system is bounded while global asymptotic stability can be achieved. Two examples including a practical example are given to demonstrate the effectiveness of the theoretical results.

Output-Feedback Control for a Class of Stochastic High-Order Feedforward Nonlinear Systems with Delay

The problem of global output-feedback stabilization for a class of stochastic high-order time-delay feedforward nonlinear systems with different power orders is investigated. By combining the adding one power integrator technique with the homogeneous domination approach, an output-feedback controller design is proposed, which ensures the global asymptotical stability in probability of the closed-loop system.

Global output feedback stabilization for a class of nonlinear planar systems with output-dependent growth rates

Abstract In this paper, we consider the global output feedback stabilization problem for a class of nonlinear planar systems under a more general growth condition. The nonlinearities in such a system are bounded by both lower-order and higher-order terms with an output-dependent growth rate. This problem is solved by integrating the feedback domination technique and a novel dual observer approach, where two individual observers are constructed in parallel with one estimating the linear part of the unmeasurable state and the other estimating the higher-order part. Moreover, the presented observers and the output feedback controller all have nonlinear gains. Simulations illustrate the effectiveness of the proposed stabilization scheme.

Global adaptive stabilisation of feedforward systems by smooth output feedback

The authors address the problem of global output-feedback stabilisation for a class of feedforward nonlinear systems. The system satisfies linear growth condition with an unknown growth rate. Using the dynamic gain scaling technique and introducing a new adaptive law, it is proved that global adaptive stabilisation of the feedforward systems can be achieved by smooth output feedback. The gain matrices are only required to satisfy the Hurwitz condition, which makes the control law very easy to implement. Moreover, the authors show that for feedforward systems and low triangular systems with unknown linear growth rate, global adaptive stabilisation can be handled in a unifying framework, that is, the observer and the controller can be designed in a same structure just with two different adaptive laws for the dynamic gain, respectively.

Global Output Feedback Stabilization of a Chemostat With an Arbitrary Number of Species

This technical note studies the global output feedback stabilization problem for a chemostat with an arbitrary number of species competing for a single nutrient source. It is shown that coexistence can be achieved by means of a feedback control of the substrate input concentration and an appropriate choice of a constant dilution rate. The input substrate feedback controller proposed is a dynamic time-varying output feedback, with the substrate concentration considered as the output. The result relies on the construction of a novel nonlinear observer and is established via a Lyapunov-based proof.

Output-feedback stabilization of a class of uncertain non-minimum-phase nonlinear systems

The problem of global output-feedback stabilization for a class of nonlinear systems whose zero dynamics are not necessarily stable is addressed in this paper. It is shown that, using a novel observer design tool together with standard backstepping and small-gain techniques, it is possible to design a stabilizing output feedback controller which ensures robustness with respect to dynamic uncertainties. The proposed stabilization method generalizes existing tools in several directions. As an example, the method is applied to the stabilization of the benchmark translational oscillator/rotational actuator (TORA) using only measurements of the rotational position.