Adaptive reliable H∞ control for linear time-delay systems via memory state feedback
ABSTRACT 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
- SourceAvailable from: Guang-Hong Yang[Show abstract] [Hide abstract]
ABSTRACT: This paper considers the problem of adaptive fault-tolerant guaranteed cost controller design via dynamic output feedback for a class of linear time-delay systems against actuator faults. A new variable gain controller is established, whose gains are tuned by the designed adaptive laws. More relaxed sufficient conditions are derived in terms of linear matrix inequalities (LMIs), compared with the corresponding fault-tolerant controller with fixed gains. A real application example about river pollution process is presented to show 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