The reliable controller design problem for continuous-time linear systems with time delay and actuator faults is considered, based on a linear matrix inequality (LMI) technique and an adaptive method. A new delay-dependent memory state-feedback reliable controller is established in a parameter-dependent form, in which fault parameters are adjusted online based on an adaptive method to compensate automatically the fault effect on system. In the framework of the LMI technique, the stability and Hinfin performance of closed-loop systems are guaranteed in normal and faulty cases. A numerical example and its simulations are given to illustrate the effectiveness of the proposed method
[Show abstract][Hide abstract] ABSTRACT: A delay-dependent H-infinity control for descriptor systems with a state-delay is investigated. The purpose of the problem
is to design a linear memoryless state-feedback controller such that the resulting closed-loop system is regular, impulse
free and stable with an H-infinity norm bound. Firstly, a delay-dependent bounded real lemma(BRL) of the time-delay descriptor
systems is presented in terms of linear matrix inequalities(LMIs) by using a descriptor model transformation of the system
and by taking a new Lyapunov-Krasovsii functional. The introduced functional does not require bounding for cross terms, so
it has less conservation.Secondly, with the help of the obtained bounded real lemma, a sufficient condition for the existence
of a new delay-dependent H-infinity state-feedback controller is shown in terms of nonlinear matrix inequalities and the solvability
of the problem can be obtained by using an iterative algorithm involving convex optimization. Finally, numerical examples
are given to demonstrate the effectiveness of the new method presented.
Journal of Control Theory and Applications 02/2005; 3(1):76-84. DOI:10.1007/s11768-005-0065-7
[Show abstract][Hide abstract] ABSTRACT: This paper proposes a fault-tolerant control scheme for continuous-time linear systems against sensor failures, which is based on the combination of adaptive method and LMI (linear matrix inequality) approach for sensor failure compensations. The novelty lies in based on the online estimations of sensor faults, the controller parameters are updated automatically to compensate the sensor fault effects on systems. Meanwhile, asymptotic stability and H<sub>∞</sub> performances for the resultant closed-loop systems are guaranteed in normal case as well as in sensor failure cases in the framework of LMIs. A numerical example is also given to illustrate the design procedure and their effectiveness.
Control Applications, 2007. CCA 2007. IEEE International Conference on; 11/2007
[Show abstract][Hide abstract] ABSTRACT: The reliable Hinfin control problem for time-varying delayed discrete-time systems is proposed for the case of a simultaneous presence of sensor failures. A more practical general mode of sensor is presented to describe sensor failures. Based on a linear matrix inequality(LMI) technique, a static output feedback reliable controller is designed, such that, in normal and fault cases of sensor, the closed-loop system is asymptotically stable and has an Hinfin disturbance attenuation bound. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approaches.
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on; 01/2008
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