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In this paper, H ∞ control for single linear inverted pendulum with input time delay is studied, which is an unavoidable factor influencing the stability of inverted pendulum system. An H ∞ feedback controller of the system has been obtained by using Lyapunov function combined with linear matrix inequality method, and the criterion can be readily tested by using standard numerical software. And...
In this paper we consider a class of stationary problem of stochastic control of impulse type, of which the state process is a solution to a process generated by a stochastic differential equation with drift factor. We also prove the existence of optimal impulse control. Moreover, we construct an optimal control and determine the optimal control area.
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