Output feedback stabilization of a class of Wiener systems

A globally stabilizing output feedback controller is designed for a class of continuous-time Wiener systems. The Wiener systems we consider consist of a linear dynamical block and an output polynomial nonlinearity connected in series. The (hybrid) controller consists of three modes of operation which are periodically applied to the system. The controller achieves a dead-beat response of the closed-loop system     

Output feedback stabilization for a class of stochastic time-delay nonlinear systems

This note focuses on a class of stochastic time-delay nonlinear systems. The problem we address is to design a controller such that the closed-loop system is exponentially stable. It is shown that the stabilization via output feedback can be solved by a Lyapunov-based recursive design method.     

Output feedback stabilization of a class of uncertain internally delayed systems

This paper is concerned with the problem of output feedback stabilization of a class of uncertain internally (i.e. in the state) delayed systems, in which only the upper bounds of nonlinear uncertainties are given. The designs of both static and dynamic output feedback controllers are considered. Some sufficient conditions for the stabilization of closed-loop systems are proposed, based upon the use of Lyapunov's stability criteria     

Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model

The problem of output feedback stabilization of nonlinear sampled-data control systems is considered under the low measurement rate constraint. A dual-rate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the missing output values between measured output samples. It is shown that if an observer-based output feedback controller that semiglobally practically asymptotically (SPA) stabilizes the single-rate sampled-data plant model is given, then the SPA stability property will be preserved for the closed-loop dual-rate sampled-data system, on the basis of the proposed dual-rate control scheme under standard assumptions. A numerical example is given to illustrate the design method.     

Nonsmooth stabilization of a class of nonlinear cascaded systems

A global nonsmooth stabilization scheme is presented for a class of nonlinear cascaded systems with uncontrollable linearization. A stepwise constructive control methodology is proposed for the driving subsystem by using the adding a power integrator technique. Under suitable conditions and based on homogeneous properties, it is proved that the stabilization of the driving subsystem implies the stabilization of the overall cascaded system. Due to the versatility of the adding a power integrator technique and homogeneous properties, the proposed controller not only can be used to stabilize the cascaded system asymptotically, but also is able to lead to an interesting result of finite-time stabilization under appropriate conditions.     

非线性随机时滞系统输出反馈镇定

研究了非线性随机时滞系统的镇定问题，运用Backstepping递推设计方法，得到了使得非线性随机时滞系统镇定的输出反馈控制器的设计算法。     

Output feedback stabilization for uncertain systems: constrainedRiccati approach

In this paper, the problem of output feedback stabilization of linear systems with mismatched uncertainties is investigated. A new approach to the design of output feedback controller is proposed, and the respective output feedback gains are obtained through the solution of a Riccati equation with linear constraints. Solvability conditions for such a constrained Riccati problem are derived, and a systematic algorithm for obtaining an output feedback controller, which guarantees the system state is globally exponentially stable, is provided     

Output feedback stabilization of systems with non-linear actuators

An output feedback controller is developed to provide stabilization for feedback-linearizable systems with asymptotically-stable non-linear actuators. The controller consists of a globally-bounded state feedback and a high-gain observer. It is established that if the actuator dynamics are sufficiently fast, then the developed output feedback controller will stabilize the origin of the closed-loop system regardless of how fast the observer is. A simulation example is included to illustrate the developed theory.     

Output feedback stabilization

The stabilization of control systems using output feedback is addressed. Necessary and sufficient Lyapunov conditions are established, generalizing the Artstein's stabilization theorem. For linear control systems, a necessary and sufficient Lyapunov condition is provided for stabilization by means of a linear output feedback law     

Output feedback preview tracking control for discrete-time polytopic time-varying systems

This paper focuses on the problem of static output feedback preview tracking control for discrete-time systems with time-varying parameters subject to a previewable reference signal. We develop a design method of a robust controller with integral and preview actions achieving robust tracking performance. First, an augmented error system including future information on reference signal is constructed by introducing two new related auxiliary variables to the original system state and input. This leads to a tracking problem being transformed into a regulator problem. Then, a previewable reference signal is fully utilised through reformulation of the output equation for the augmented error system while considering a static output feedback. Meanwhile, the static output preview control gains are solved explicitly by the proposed conditions. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.     

State feedback stabilization for a class of stochastic time-delay nonlinear systems

This note focuses on a class of stochastic time-delay nonlinear systems. The problem we address is to design a controller such that the closed-loop system is exponentially stable. It is shown that the stabilization via state feedback can be solved by a Lyapunov-based recursive design method.     

Global output feedback tracking control for a class of Lagrangian systems

The problem of global tracking control without velocity measurement of the so-called Euler–Lagrange systems has been paid a lot of attention for the past several years. In this note, a nice property of one-degree-of-freedom Euler–Lagrange systems is highlighted, which in particular allows us to obtain a new solution to the problem of tracking control for this class of systems. The solution is under the form of a linear-like observer-based controller which gives fairly good results, as illustrated in the simulation. The method can be generalized to any system having the same property.     

Output feedback control of a class of stochastic hybrid systems

This paper deals with static output feedback control of a class of reconfigurable systems with Markovian Parameters and state-dependent noise. The main contribution is to formulate conditions for multi-performance design related to this class of stochastic hybrid systems. The specifications and objectives under consideration include stochastic stability, and performances. Another problem related to a more general class of stochastic hybrid systems, known as Markovian Jump Linear Systems (MJLS), is also addressed. This problem concerns the mode-independent output feedback control of MJLS. The obtained results are illustrated on a numerical example.     

Decentralized output feedback stabilization of a class of nonlinearinterconnected systems

The problem of decentralized output feedback stabilization of a class of nonlinear interconnected systems is considered. On the basis of the linear-quadratic design, a sufficient condition for the existence of the decentralized output feedback control of the problem is presented. An estimation of the associated stability domain is also given. An application to the decentralized control of a large-scale telescope is presented to illustrate the use of the results     

Semiglobal stabilization of a class of nonlinear systems usingoutput feedback

The stabilization of a class of multivariable nonlinear systems, about an equilibrium point at the origin, using output feedback, is considered. In particular, a class of systems which can be transformed into a global normal form with no zero dynamics is treated. Semiglobal stabilization means that for every compact set of initial conditions, an output feedback controller that stabilizes the origin and includes the given compact set in the region of attraction can be designed. The system equations are allowed to depend on constant unknown parameters which do not change the vector relative degree of the system, and the controller is robust with respect to these parameters. Global Lipschitz conditions are not required     

Output feedback control for attitude tracking

In this paper the problem of attitude tracking control for a rigid spacecraft is addressed. It is assumed that only attitude measurements are available, and thus spacecraft's angular velocity has to be properly estimated. Two alternative schemes are proposed in which the unit quaternion is adopted to represent the orientation. In the first scheme, a second-order model-based observer is adopted to estimate the angular velocity used in the control law. In the second scheme, an estimate of the angular velocity error is obtained through a lead filter. Sufficient conditions ensuring local exponential stability of the two controllers are derived via Lyapunov analysis.     

Output feedback for a class of linear systems with stochastic jump parameters

A class of linear systems subject to sudden jumps in parameter values is studied. For a quadratic performance index, the optimal controller has already been proposed. It consists of a full state feedback that requires the synthesis of an observer for the plant state and mode. To avoid this difficulty, the present note develops new results that lead to the selection of the best feedback control law depending only on measurable outputs. Necessary optimality conditions are derived and two computationnal algorithms proposed. An example is included.     

Output feedback fault-tolerant control for a class of discrete-time fuzzy bilinear systems

This paper studies the fault-tolerant control problem for a class of discrete-time fuzzy bilinear systems with unmeasurable states. A fuzzy detective observer is designed to detect the faults. Based on the fuzzy detective observer, a fuzzy controller is designed by solving a set of linear matrix inequalities (LMIs) to ensure that the closed-loop system without faults is asymptotically stable. For the discrete-time fuzzy bilinear system with faults, a fuzzy adaptive diagnostic observer is designed to estimate the faults by solving a set of LMIs. Then, a fuzzy faulttolerant controller is designed based on the fuzzy diagnostic observer to ensure that the closed-loop system with faults is asymptotically stable. At last, simulation results are presented to verify the effectiveness of the proposed output feedback fault-tolerant control method.     

Output feedback stabilization of a clamped-free beam

We consider a Euler–Bernoulli beam, clamped at one extremity and free at the other, to which are attached a piezoelectric actuator and a collocated sensor touching the clamped extremity. We provide an output feedback law and characterize the sensor/actuator lengths for which the strong stabilization holds. Finally, we prove that the energy decreases to zero in a polynomial way for almost all lengths, and in an exponential way for lengths admitting a certain coprime factorization.