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Supervisory fault tolerant control with integrated fault detection and isolation: A switched system approach

Hao Yang, Bin Jiang, Vincent Cocquempot, Lingli Lu (2012)

International Journal of Applied Mathematics and Computer Science

This paper focuses on supervisory fault tolerant control design for a class of systems with faults ranging over a finite cover. The proposed framework is based on a switched system approach, and relies on a supervisory switching within a family of pre-computed candidate controllers without individual fault detection and isolation schemes. Each fault set can be accommodated either by one candidate controller or by a set of controllers under an appropriate switching law. Two aircraft examples are...

Supervisory predictive control and on-line set-point optimization

Piotr Tatjewski (2010)

International Journal of Applied Mathematics and Computer Science

The subject of this paper is to discuss selected effective known and novel structures for advanced process control and optimization. The role and techniques of model-based predictive control (MPC) in a supervisory (advanced) control layer are first shortly discussed. The emphasis is put on algorithm efficiency for nonlinear processes and on treating uncertainty in process models, with two solutions presented: the structure of nonlinear prediction and successive linearizations for nonlinear control,...

Sur la frontière d'un convexe mobile

Manuel D.P. Monteiro Marques (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Siano A , B sottoinsiemi convessi, chiusi e limitati di uno spazio normato X , con le frontiere f ⁢ r ⁢ A , f ⁢ r ⁢ B . Dimostriamo che h ⁢ ( A , B ) = h ⁢ ( f ⁢ r ⁢ A , f ⁢ r ⁢ B ) , dove h è la metrica di Hausdorff tra sottoinsiemi chiusi di X . Studiamo inoltre la continuità e la semicontinuità superiore ed inferiore di una multifunzione di tipo «frontiera».

Switching and stability properties of conewise linear systems

Jinglai Shen, Lanshan Han, Jong-Shi Pang (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Being a unique phenomenon in hybrid systems, mode switch is of fundamental importance in dynamic and control analysis. In this paper, we focus on global long-time switching and stability properties of conewise linear systems (CLSs), which are a class of linear hybrid systems subject to state-triggered switchings recently introduced for modeling piecewise linear systems. By exploiting the conic subdivision structure, the “simple switching behavior” of the CLSs is proved. The infinite-time mode switching behavior...

Switching control

Enrique Zuazua (2011)

Journal of the European Mathematical Society

We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to the other in a systematic way so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, switching control strategies exist and can be built in a systematic way. To do this we introduce a new variational principle building...

System identification from multiple-trial data corrupted by non-repeating periodic disturbances

Minh Phan, Richard Longman, Soo Lee, Jae-Won Lee (2003)

International Journal of Applied Mathematics and Computer Science

Iterative learning and repetitive control aim to eliminate the effect of unwanted disturbances over repeated trials or cycles. The disturbance-free system model, if known, can be used in a model-based iterative learning or repetitive control system to eliminate the unwanted disturbances. In the case of periodic disturbances, although the unknown disturbance frequencies may be the same from trial to trial, the disturbance amplitudes, phases, and biases do not necessarily repeat. Furthermore, the...

Systematic fault tolerant control based on adaptive Thau observer estimation for quadrotor UAVs

Zhaohui Cen, Hassan Noura, Younes Al Younes (2015)

International Journal of Applied Mathematics and Computer Science

A systematic fault tolerant control (FTC) scheme based on fault estimation for a quadrotor actuator, which integrates normal control, active and passive FTC and fault parking is proposed in this paper. Firstly, an adaptive Thau observer (ATO) is presented to estimate the quadrotor rotor fault magnitudes, and then faults with different magnitudes and time-varying natures are rated into corresponding fault severity levels based on the pre-defined fault-tolerant boundaries. Secondly, a systematic FTC...

Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems

Pablo Iglesias, Guoqiang Zang (2001)

International Journal of Applied Mathematics and Computer Science

It is shown that the limit in an abstract version of Szegő's limit theorem can be expressed in terms of the antistable dynamics of the system. When the system dynamics are regular, it is shown that the limit equals the difference between the antistable Lyapunov exponents of the system and those of its inverse. In the general case, the elements of the dichotomy spectrum give lower and upper bounds.

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