In This paper we investigate the design of controllers, for discrete-time Markovian jump linear systems, that achieve optimal reference tracking in the presence of preview. In particular, given a reference sequence, we obtain the optimal control law for the fully observed case, while the output feedback case is also briefly discussed. We provide the optimal control law for the infinite and fini...

This paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. The concerned system is of strict-feedback form, and the statistics information of noise is unknown due to practical limitation. With the ordinary input-to-state stability ISS extended to jump case, stochastic Lyapunov stability criterion is proposed...

This paper addresses an integral sliding mode-based anti-disturbance control algorithm for a type of Markovian jump systems (MJSs), which are influenced by different types mismatched disturbances. On one hand, as those disturbances that can be modeled, the disturbance observer (DO) method is introduced to realize dynamical estimation Based on this, both surface (ISS) and composite controller pr...

In this paper we consider the quadratic optimal control problem of a discrete-time Markovian jump linear system, subject to constrains on the state and control variables. It is desired to find a state feedback controller, which may also depend on the jump variable, that minimizes a quadratic cost and satisfies some upper bounds on the norms of some random variables, related to the state and con...

Abstract. This paper is concerned with the exponential mean-square stabilization problem via dynamic output-feedback controller for Markovian jump systems with nonlinear perturbations and time delays which are time-varying in an interval and depend on the system mode. Sufficient delay-range-dependent stabilization conditions for the existence of robust output-feedback controller are proposed in...

In this paper, firstly, one deals with the stability and the stabilizability problems for the class of Markovian jump continuous-time singular systems. Next, one will address the robustness problem. The proposed approaches derive sufficient conditions such that the regularity and the absence of impulses are assured as well as the stochastic stability and robust stochastic stability. Also, state...

This paper is concerned with mean-square stabilization of single-input Markovian jump linear systems (MJLSs) with logarithmically quantized state feedback. We introduce the concepts and provide explicit constructions of stabilizing mode-dependent logarithmic quantizers together with associated controllers, and a semi-convex way to determine the optimal (coarsest) stabilizing quantization densit...

In this brief, we consider the mean-field type H− index problem for stochastic Markovian jump systems. A sufficient condition is derived systems with (x,u)-dependent noise based on generalized differential Riccati equations. Especially only x-dependent noise, a and necessary developed to characterize larger than some ξ>0. Finally, numerical example addressed verify effectiveness of our obtai...