A fault-detection, filter-design method for linear parameter-varying systems

2007 ◽  
Vol 221 (6) ◽  
pp. 865-874 ◽  
Author(s):  
A Casavola ◽  
D Famularo ◽  
G Franzè ◽  
M Sorbara
Keyword(s):  
Fault Detection ◽  
Filter Design ◽  
Design Method ◽  
Linear Matrix ◽  
False Alarms ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Luenberger Observer ◽  
Parameter Varying ◽  
Filter Design Method

In this paper a fault-detection (FD), filter-design method has been proposed for linear parameter-varying (LPV) systems. The FD filter is an optimal H∞ Luenberger observer synthesized by minimizing frequency conditions that ensure guaranteed levels of disturbance rejection and fault detection. Via the bounded real lemma (BRL) and the separation principle the design method is formulated as a convex linear matrix inequality (LMI) optimization problem. The resulting residual generator is parameter-dependent and uses the plant parameter assumed measurable online. Finally, an FD threshold logic is proposed in order to reduce the generation of false alarms. The effectiveness of the design technique is illustrated via a numerical example.

Smooth switching linear parameter-varying fault detection filter design for morphing aircraft with asynchronous switching

2017 ◽  
Vol 40 (8) ◽  
pp. 2622-2638 ◽  
Author(s):  
Haoyu Cheng ◽  
Chaoyang Dong ◽  
Qing Wang ◽  
Weilai Jiang
Keyword(s):  
Time Delay ◽  
Fault Detection ◽  
Filter Design ◽  
Linear Parameter ◽  
Asynchronous Switching ◽  
Linear Parameter Varying ◽  
Morphing Aircraft ◽  
Parameter Varying ◽  
Smooth Switching ◽  
Fault Detection Filters

This article deals with the problem of fault detection filters design for morphing aircraft with asynchronous switching. Considering time delay and intermittent measurements in the network environment, the morphing aircraft can be modeled as a switched linear parameter-varying (LPV) system. There always exists asynchronous switching phenomenon owing to time delay and data missing, which will lead to performance degradation. The parameter-dependent filters are established to generate the residual signal. In order to ensure the transient response of the morphing aircraft, the smooth switching LPV fault detection filters are designed by dividing the whole scheduling parameter set into subsets with overlaps. Meanwhile, the stability and prescribed performance of the system are guaranteed by combining multiple Lyapunov functional method and mode-dependent average dwell time method. The existing conditions and solution of filters are derived by linear matrix inequalities. Furthermore, an automatic partition method is proposed for the convenience of designing process. Simulation in the end demonstrates the superiority and effectiveness of the proposed method.

Gain-Scheduled H∞ Control for Linear Parameter Varying Stochastic Systems

2015 ◽  
Vol 137 (11) ◽  
Author(s):  
Cheung-Chieh Ku ◽  
Cheng-I Wu
Keyword(s):  
Stochastic Systems ◽  
Controller Design ◽  
Design Method ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying ◽  
Gain Scheduled Controller ◽  
Gain Scheduled

In this paper, a gain-scheduled controller design method is proposed for linear parameter varying (LPV) stochastic systems subject to H∞ performance constraint. Applying the stochastic differential equation, the stochastic behaviors of system are described via multiplicative noise terms. Employing the gain-scheduled design technique, the stabilization problem of LPV stochastic systems is discussed. Besides, the H∞ attenuation performance is employed to constrain the effect of external disturbance. Based on the Lyapunov function and Itô's formula, the sufficient conditions are derived to propose the stability criteria for LPV stochastic systems. The derived sufficient conditions are converted into linear matrix inequality (LMI) problems that can be solved by using convex optimization algorithm. Through solving these conditions, the gain-scheduled controller can be obtained to guarantee asymptotical stability and H∞ performance of LPV stochastic systems. Finally, numerical examples are provided to demonstrate the applications and effectiveness of the proposed controller design method.

State estimation for a class of Linear Parameter-Varying systems with parametric uncertainties

2020 ◽  
Vol 42 (15) ◽  
pp. 3035-3042
Author(s):  
Zhongwei He ◽  
Wei Xie
Keyword(s):  
State Estimation ◽  
Sufficient Conditions ◽  
Estimation Methods ◽  
Linear Matrix ◽  
Parametric Uncertainties ◽  
Observation Error ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Parameter Varying

This paper is concerned with interval state estimation for a class of Linear Parameter-Varying systems with parametric uncertainties. Firstly, sufficient conditions to guarantee both the cooperativity and stability of observation error dynamics are presented in terms of parameterized matrix inequality formulations. Secondly, a novel method for scheduled controller law design is proposed in the framework of interval observer design. Under the assumptions that scheduled parameters have a polytopic structure property, the problems of the existence conditions of observers and scheduled controller design are transformed into finite linear matrix inequalities ones, which can be solved by convex optimization algorithms. The validity of the proposed state estimation methods is illustrated through a simple example.

Robust linear parameter varying attitude control of a quadrotor unmanned aerial vehicle with state constraints and input saturation subject to wind disturbance

2019 ◽  
Vol 42 (6) ◽  
pp. 1083-1096 ◽  
Author(s):  
Mohammad Reza Soltanpour ◽  
Farshad Hasanvand ◽  
Reza Hooshmand
Keyword(s):  
Unmanned Aerial Vehicle ◽  
Attitude Control ◽  
Input Saturation ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Aerial Vehicle ◽  
Parameter Varying ◽  
Parameter Dependent

In this paper, a gain scheduled [Formula: see text] state-feedback controller has been designed to control the attitude of a linear parameter varying (LPV) model of a quadrotor unmanned aerial vehicle (UAV). The scheduling parameters vector, which consists of some states and the control inputs, must vary in a specified polyhedron so that the affine LPV model would be analyzable; therefore, some pre-assumed constraints on states and input saturation have been taken into account in design process. The stabilization and disturbance attenuation conditions are obtained via elementary manipulations on the notion of [Formula: see text] control design. The resulting parameter dependent linear matrix inequalities are solved through a Robust LMI Parser (Rolmip) – which works jointly with YALMIP (A toolbox for modeling and optimization in MATLAB)– by transforming polynomial parameter dependent matrices into multi-simplex domain, to best deal with nonconvex problems. In the end, simulation results have been presented and compared with existing literature to examine the capability of such method in the presence and absence of wind disturbances.

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