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This paper investigates the stability probabilities of terminal sliding mode control of the continuous manipulator systems with Markovian jumpings. The proposed sliding manifold is a nonsingular sliding mode, which can be reached in a finite time. Furthermore, we discuss the situation that the control force is not strong enough, and then propose the reaching probability and sliding probability. A...
This paper addresses the sliding mode control problem for uncertain MIMO linear Markovian jump systems. Firstly, by using the linear matrix inequality approach, sufficient conditions are proposed to guarantee the stochastically asymptotical stability of the system on the sliding surfaces. Secondly, an equivalent control based sliding mode control is proposed, such that the closed-loop system can be...
This paper investigates terminal sliding mode control of the continuous Markovian jumping manipulator systems. The proposed sliding manifold is a nonsingular sliding mode. The time taken to reach the equilibrium from any initial state is finite. The control scheme can ensure the manipulator to track the desire trajectory. A numerical example is given to show the feasibility of the theoretical results.
In this paper, an equivalent control based sliding mode control is proposed for single input linear Markovian jump systems which guarantees the asymptotical stability. Furthermore, by using the stochastic system theory, a multi-step state transition conditional probability function is introduced for the continuous Markovian process, which is used to define the reaching and sliding probabilities. Furthermore,...
This paper explores the relationship between system stability conditional probability and the sliding mode control for second order continuous Markovian jump systems. By using the stochastic process theory, multi-step state transition conditional probability function is proposed for the continuous time discrete state Markovian process. A sliding mode control scheme is utilized to stabilize the continuous...
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