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In order to make robust decisions under uncertainty, the stochastic optimization method is proposed to effectively realize the optimal control of alumina blending process. Firstly, the multi-objective stochastic optimization model is built to describe the quality requirements of multiple indices and to incorporate uncertainty into the optimization problem. Then, Hammersley sequence sampling(HSS)technique...
This paper is focused on stability analysis of net-worked control systems with randomly varying delay and missing measurements. It is assumed that the parameter uncertainties are norm-bounded and the delay is random. Missing measurements are described by a binary switching sequence that obeys the Bernoulli distribution. By employing reciprocally convex approach proposed recently, together with delay...
In the actual system the law of changing with time of continuous signal can be completely described by the signal frequency spectrum. Only choose the reasonable sampling frequency and sampling time zone width, signal spectrum can approximate continuous signal actual spectrum. Because of the frequency leakage and spectrum aliasing existence, the analysis result which has a minimum of spectrum component...
This paper is focused on the problem of H∞ control for linear systems with interval time-varying delay. A delay decomposition approach is employed to establish a new delay-dependent bounded real lemma (BRL) such that the system under study is asymptotically stable with a prescribed H∞ disturbance attenuation level. This BRL is then used to solve the desired H∞ controller by incorporating with the...
This paper is concerned with the problem of Hinfin filtering for a class of linear systems with Markovian jump parameters and mode-dependent time-varying delays. The Lyapunov-Krasovskii method is used to derive a new delay-dependent Bounded Real Lemma (BRL) incorporating with an integral inequality, which guarantees that the filtering error system is not only exponentially stable in the mean square...
This paper is concerned with the delay-dependent stability for linear systems with time delays. By decomposing the delay interval into three equidistance subintervals, on which different Lyapunov functionals are defined, a new Lyapunov-Krasvskii functional is then constructed. With its help, a series of new delay dependent stability criteria are established for both constant and time-varying delays...
This paper is concerned with the problem of delay-dependent non-fragile Robust H-infinite control for uncertain systems. Based on an integral inequality method, a new delay-dependent condition, which can ensure that the closed-loop system is internally stable with a given H-infinite disturbance attenuation level via a non-fragile controller, is obtained by using the Lyapunov-Krasovskii stability theory...
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