Control of a solution copolymerization reactor using multi-model predictive control

IFAC Proceedings Volumes

2005

To cite this version:Mickael Rodrigues, Didier Theilliol, Dominique Sauter. Fault tolerant control design of nonlinear systems using LMI gain synthesis. Abstract: In this paper, an active Fault Tolerant Control (FTC) strategy is developed to nonlinear systems described by multiple linear models to prevent the system deterioration by the synthesis of adapted controllers. By considering that Fault Detection, Isolation (FDI) and estimation is realized, the synthesis of an appropriate combination of predesigned gains is performed. The main contribution concerns the design of state feedback gains through LMI both in fault-free and faulty cases in order to preserve the system performances. For each separate actuator, a robust pole placement is designed by pole clustering. The effectiveness and performances of the method are illustrated in simulation by considering a nonlinear system: a Three-Tank system.

Section: Control Law Synthesis In Fault-free Casementioning

confidence: 99%

Fault Tolerant Control Design of Nonlinear Systems Using Lmi Gain Synthesis

IFAC Proceedings Volumes

2005

“…Indeed, these methods consider a particular multiple or multi-model approach where each model is dedicated to a specified fault. A polytopic representation is sometimes used in multi-model or piecewise linear models [9]. This paper addresses a more general method that could allow to detect actuator fault in a nonlinear system.…”

Section: Introductionmentioning

confidence: 99%

Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model Representation

Proceedings of the 44th IEEE Conference on Decision and Control

To cite this version:Mickael Rodrigues, Didier Theilliol, Dominique Sauter. Design of an active fault tolerant control and polytopic unknown input observer for systems described by a multi-model representation. Design of an Active Fault Tolerant Control and Polytopic Unknown Input Observer for Systems described by a Multi-Model RepresentationMickaël Rodrigues, Didier Theilliol and Dominique Sauter Abstract-In this paper, an active Fault Tolerant Control (FTC) strategy is developed to systems described by multiple linear models to prevent the system deterioration by the synthesis of adapted controllers. First, a Polytopic Unknown Input Observer is synthesized for providing actuator fault estimation. The actuator fault estimation is used in a FTC scheme which schedules some predefined state feedback gains. These gains are performed through LMI both in fault-free and faulty cases in order to preserve the system performances over a wide operating range. For each separate actuator, a pole placement is designed by pole clustering. The effectiveness and performances of the method have been illustrated in simulation considering a hydraulic system: a three-tank system.

“…These four operating points developed are: Vr = 27.90h −1 . The nonlinear model has been discretized through a Tustin method in order to provide discrete linear models represented in equation (11). Disturbance matrices of modeling error E i are directly obtained by a second order linearization and an unique matrix E * is computed through an optimization technique based on Singular Value Decomposition as proposed in [1].…”

Section: Experiments and Resultsmentioning

confidence: 99%

“…Matrices (A i , B i , C i , D i ) are invariant matrices defined around the i th operating point (OP i ) generally obtained from a nonlinear system using a first-order Taylor expansion around (x i e , u i e ) with y i e = C i x i e + D i u i e or identification of a nonlinear system around predefined operating points as for example in chemical processes in [11] and [10]. The fault distribution matrix is represented by F i ∈ R n×p .…”

Section: A Nonlinear Representationmentioning

confidence: 99%

“…The reader could refer to [7] for a global review on multiple models strategy, and also for well developed identification method and modeling problems. A polytopic representation is sometimes used in multi-model for nonlinear systems modeling as for example in fault-free case in [8], [9], [10] and [11], and in faulty case in [12]. Multiple Model Adaptive Estimation (MMAE) [13] or Interacting Multiple Model (IMM) [14] introduce a multi-model approach for FDI, but these techniques are developed around an unique operating point (OP).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of a Robust Polytopic Unknown Input Observer for FDI: Application for Systems described by a Multi-Model Representation

Proceedings of the 44th IEEE Conference on Decision and Control

Abstract-The main goal of this paper consists in fault diagnosis of systems represented by a multi-model approach. Partial knowledge of the system representation around operating points must allow to obtain its dynamic behaviour under modeling errors consideration. The goal of this paper is to decouple modeling errors through a wide operating range by a dedicated polytopic Unknown Input Observer (UIO). The robust polytopic observer allows an optimization of modeling errors matrix distribution and permits to develop a fault diagnosis strategy on a wide operating range. Polytopic observer stability is guaranteed by pole assignment established through Linear Matrix Inequality (LMI). The effectiveness and performances of the method are illustrated in simulation considering a CSTR.