H2/H∞ Control for Stochastic Jump-Diffusion Systems with Markovian Switching

被引:7
作者
Wang, Meijiao [1 ]
Meng, Qingxin [2 ]
Shen, Yang [3 ]
机构
[1] Univ Shanghai Sci & Technol, Sch Business, Shanghai 200093, Peoples R China
[2] Huzhou Univ, Dept Math Sci, Huzhou 313000, Zhejiang, Peoples R China
[3] Univ New South Wales, Sch Risk & Actuarial Studies, Sydney, NSW 2052, Australia
基金
中国国家自然科学基金;
关键词
H-2/H-infinity control; jump bounded real lemma; jump-diffusion systems; Markovian switching; system of Riccati type differential equations; H-INFINITY CONTROL; DISCRETE-TIME-SYSTEMS; STATE-FEEDBACK CONTROL; DIFFERENTIAL-EQUATIONS; ROBUST STABILIZATION; LINEAR-SYSTEMS; POISSON NOISE; STABILITY; DESIGN; DELAY;
D O I
10.1007/s11424-020-9131-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a stochastic H-2/H-infinity control problem is investigated for Poisson jump-diffusion systems with Markovian switching, which are driven by a Brownian motion and a Poisson random measure with the system parameters modulated by a continuous-time finite-state Markov chain. A stochastic jump bounded real lemma is proved, which reveals that the norm of the perturbation operator below a given threshold is equivalent to the existence of a global solution to a parameterized system of Riccati type differential equations. This result enables the authors to obtain sufficient and necessary conditions for the existence of H-2/H-infinity control in terms of two sets of interconnected systems of Riccati type differential equations.
引用
收藏
页码:924 / 954
页数:31
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