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- G.-H. Yang [4]
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This study is concerned with the quantised H∞ filtering problem for discrete-time systems subject to limited communication capacity, which includes measurement quantisation and random sensor packet losses. By introducing an improved quantised random packet-loss model, the effects of the packet-loss rate and the upper bound of consecutive packet losses and the quantisation on the system performance are considered simultaneously. A quantised H∞ filter design strategy with the minimised static quantiser range is designed to guarantee the error system exponentially mean-square stable and also achieve the prescribed H∞ disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed filter design method.
This study investigates the problem of H∞ static output feedback (SOF) control for discrete-time switched linear systems with average dwell time. By the aid of multiple Lyapunov functions combined with Finsler's lemma, a switched SOF controller is designed such that the closed-loop switched system is exponentially stable and achieves a weighted L2-gain. Sufficient conditions for SOF control are derived and formulated in terms of linear matrix inequalities (LMIs). The minimal average dwell time and the corresponding SOF controller are obtained from the LMI conditions for a given system decay degree. The proposed method is less conservative than the existing ones, which is validated by a numerical example.
The state feedback H∞ control problem for standard discrete-time singularly perturbed systems with polytopic uncertainties is considered. Two methods for designing H∞ controllers are given in terms of solutions to a set of linear matrix inequalities, where one of them is with the consideration of improving the upper bound of singular perturbation parameter ε. Moreover, a method of evaluating the upper bound of singular perturbation parameter ε with meeting a prescribed H∞ performance bound requirement is also given. Numerical examples are given to illustrate the effectiveness of the proposed methods.
The paper considers the problem of LQ regulator design for discrete-time systems with actuator failures. The problem is to design a reliable LQ state feedback regulator which can tolerate actuator failures, such that the cost of the system is guaranteed to be within a certain bound. The state feedback control design for guaranteed cost control is given in terms of solution to an algebraic Riccati equation. The resulting control system is reliable, in that it provides guaranteed asymptotic stability despite some actuator failures. A numerical example shows the effectiveness of the method.
