We present a continuous feedback approach to the problem of global strong stabilization, for genuinely nonlinear systems that may not be stabilized, even locally, by any smooth feedback. describe conditions under which it is possible prove, while no controllers exist, existence state control laws achieve stability (GSS) in sense Kurzweil (1956). The proof constructive and carried out developing machinery, combines theory homogeneous with idea adding power integrator, explicit construction...

This note investigates the finite-time attitude control problems for a single spacecraft and multiple spacecraft. First of all, controller is designed to solve tracking problem Rigorous proof shows that desired can be tracked in finite time absence disturbances. In presence disturbances, errors reach region around origin time. Then, based on neighbor rule, distributed law proposed group with leader-follower architecture. Under law, synchronization achieved

Studies global adaptive control of nonlinearly parameterized systems with uncontrollable linearization. Using a parameter separation technique and the tool adding power integrator, we develop feedback domination design approach for explicit construction smooth controller that solves problem state regulation. In contrast to existing results in literature, key feature our regulator is its minimum-order property, namely, no matter how big number unknown parameters is, order dynamic compensator...

Considers the problem of global stabilization by output feedback, for a family nonlinear systems that are dominated triangular system satisfying linear growth condition. The has remained unsolved due to violation commonly assumed conditions in literature. Using feedback domination design method which is not based on separation principle, we explicitly construct compensator making closed-loop globally exponentially stable.

In this brief, an adaptive robust finite-time tracking control (ARFTTC) scheme for trajectory of a fully actuated marine surface vehicle with unknown disturbances is proposed. A new disturbance observer incorporated into the proposed (FTTC) structure that facilitates faster convergence and better robustness to disturbances. Hence, in presence disturbances, ARFTTC can cause error converge zero finite time. Simulation studies comprehensive comparisons conventional backstepping technique...

In the literature, it has been proved that under a lower-triangular linear growth condition, class of uncertain nonlinear systems can be globally stabilized by state feedback controller (Tsinias) and later output (Qian Lin), both in continuous-time form. This technical note shows same system assumption sampled-data whose observer control law are discrete-time linear, hence easily implemented computers.

This paper investigates the sampled-data output feedback control problem for dc-dc buck power converters taking consideration of components uncertainties. A reduced-order observer and a robust controller, both in form, have been explicitly constructed with strong robustness presence uncertain parameters. delicate stability analysis process is presented to show that, by carefully selecting design gains tunable sampling period, voltage hybrid closed-loop converter system will globally...

This paper introduces a nonsmooth framework for global adaptive control of significant class nonlinearly parameterized systems with uncontrollable unstable linearization. While there may not exist any smooth static or dynamic stabilizer due to the violation well-known necessary condition, we give sufficient conditions existence non-Lipschitz continuous regulators that achieve stability asymptotic state regulation. A constructive design method is developed based on an effective coupling new...

The paper focuses on the problem of having output nonlinear systems track a prescribed C/sup 1/ reference signal. It is proved that, under mild assumptions, global practical tracking achievable by smooth state feedback, although asymptotic usually not possible (even locally) because linearized system has uncontrollable modes whose eigenvalues are right half plane. Smooth feedback controllers which solve explicitly constructed, based modified 'adding power integrator' approach. This design...

Abstract In this paper, we introduce a generalized framework for global output feedback stabilization of class uncertain, inherently nonlinear systems particularly complex nature since their linearization around the equilibrium is not guaranteed to be either controllable or observable. Based on new observer/controller construction and homogeneous domination design, only unifies existing results, but also leads more general results which have been never achieved before, establishing...

In this paper, a novel systematic design method, namely homogeneous domination approach, is developed for the global output feedback stabilization of nonlinear systems. The nonlinearities systems considered in paper are neither linearly growing nor Lipschitz immeasurable states, which make most existing methods inapplicable to solve problem. By utilizing stabilizer explicitly constructed two steps: i) we first nominal linear system unique controller whose construction genuinely nonlinear,...

This note studies the problem of global finite-time stabilization by dynamic output feedback for a class continuous but nonsmooth nonlinear systems. By extending adding-a-power-integrator technique and special observer design, controller is explicitly constructed to render systems globally stable. The novelty development recursive design procedure, which takes full advantage structure in constructing state stabilizer with rigorously selected gains.

We present a nonsmooth output feedback framework for local and/or global stabilization of class nonlinear systems that are not smoothly stabilizable nor uniformly observable. A systematic design method is presented the construction stabilizing, dynamic compensators but Houmllder continuous. new ingredient proposed control scheme introduction recursive observer algorithm, making it possible to construct reduced-order step-by-step, in naturally augmented manner. Such leads number results on...

This note considers the problem of global finite-time stabilization by output feedback for a class planar systems without controllable/observable linearization. A sufficient condition solvability is established. By developing nonsmooth observer and modifying adding power integrator technique, we show that an controller can be explicitly constructed to globally stabilize in finite time. As direct application main result, achieved double linear perturbed some nonlinear functions which are not...

SUMMARY This paper addresses the problem of using output feedback to globally control a class nonlinear systems whose functions are not precisely known. First, for nominal linear system, we design homogeneous state compensator without requiring precise information function, and construct stabilizer with adjustable coefficients by generalized adding power integrator technique. Then based on domination approach, scaling gain is introduced into proposed controller, which can be used tuning...

Abstract This paper addresses the problem of global output feedback stabilization for a class upper‐triangular systems with perturbing nonlinearities that are higher‐order in unmeasurable states. A new design method based on homogeneous domination approach and finite‐time technique is developed, which leads to stabilizers nonlinear under growth condition. perspective shown this stabilization, addition its faster convergence rate, can also be utilized handle control problems were previously...

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

This article considers the problem of global finite-time stabilisation by output feedback for a class nonlinear systems comprised chain power integrators perturbed an uncertain vector field. To solve problem, we first construct homogeneous observer and controller in recursive way nominal system without perturbing nonlinearities. Then, using domination approach, scale with appropriate choice gain to render globally stable. Due use reduced-order observer, proposed is applicable those unknown...

Abstract This paper employs a dual‐observer design to solve the problem of global output feedback stabilization for class nonlinear systems whose nonlinearities are bounded by both low‐order and high‐order terms. We show that comprised two individual homogeneous observers, can be implemented together estimate states in parallel. The proposed dual observer, with state controller, which has terms, will lead new result combining generalizing recent results (Li J, Qian C. Proceedings 2005 IEEE...

Abstract In this paper, we consider the problem of global stabilization for a class upper‐triangular systems which have unbounded or uncontrollable linearizations around origin. The explicit formula control law is designed in two steps: First, use generalized adding power integrator technique to design homogeneous controller locally stabilizes systems. Then, integrate series nested saturation functions with and adjust level ensure asymptotic stability closed‐loop Owing versatility technique,...