H ∞  control for discrete-time nonlinear Markov jump systems with multiplicative noise and sector constraint

• Published in: International journal of robust and nonlinear control Vol. 24; no. 16; pp. 2347 - 2364
• Main Authors: Ma, Hongji, Jia, Yingmin
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 10.11.2014; Wiley Subscription Services, Inc
• Subjects: difference linear matrix inequality; H ∞ control; Markov jump; multiplicative noise; randomly occurring nonlinearity; sector condition

SUMMARYThis paper addresses the finite horizon H ∞  control problem for a class of discrete‐time nonlinear Markov jump systems with multiplicative noise and nonlinear feedback device. The system nonlinearity occurs in a random way specified by a Bernoulli process, whereas the actuator and sensor non...