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Showing papers on "Variable structure control published in 1976"


Journal ArticleDOI
TL;DR: In this paper, the singular control test for determining if the optimal periodic control is superior to the optimal steady control is presented in its general form and the relation of the singular test to the π-test which is known as a frequency domain approach is clarified.
Abstract: The singular control test which is useful for determining if the optimal periodic control is superior to the optimal steady control is presented in its general form Then the relation of the singular control test to the π-test which is known as a frequency domain approach is clarified

6 citations


Journal ArticleDOI
TL;DR: A new concept of "the best performance point" is presented, which minimizes the mean square value of a state, and the determination of the output control law is demonstrated and the resulting system is compared with the optimal control system.
Abstract: This paper presents a systematic design of servodamper systems from a point of view of output feedback control Firstly, by using a parameter optimization technique, the output feedback control law is derived In the case of incomplete feedback problems, however, the instability of the system must be considered in contrast to the optimal control system Secondly, this paper presents a new concept of "the best performance point", which minimizes the mean square value of a state Thirdly, in accordance with the best performance point, the determination of the output control law o f a servodamper system is demonstrated and the resulting system is compared with the optimal control system The experiment of the servodamper system subject to the application of the output feedback control law is also derived

2 citations


Journal ArticleDOI
TL;DR: In this paper, a predictive strategy is proposed which gives near-time-optimal control for third and fourth-order relay control systems, with the exception of a certain set of initial states.
Abstract: A predictive strategy is proposed which gives near-time-optimal control for third and fourth-order relay control systems. By direct application of the strategy, equivalent near-time-optimal feedback control laws are derived for third and fourth-order pure integrator plants. For the triple-integrator plant, the equivalent feedback control law of the predictive strategy is shown to be remarkably similar to the known time-optimal control law and, with the exception of a certain set of initial states, gives time-optimal transition to the state origin. For the fourth-order pure integrator plant, it is established that the equivalent feedback control law of the predictive strategy yields near-optimal settling times, typically within 26% of the corresponding minimum values. Furthermore, it is demonstrated that the strategy (or its equivalent feedback control law) also gives near-time-optimal control when applied, by a state variable transformation method, to more general fourth-order plants having real non-posit...