Mixed H 2 / H ∞ control of markovian jump time-delay systems with uncertain transition probabilities

Infinite Horizon H2/H∞ Control for Discrete-Time Mean-Field Stochastic Systems

“…Ref. [33] addressed the robust stability problem and mixed H 2 /H ∞ control for Markovian jump time-delay systems with uncertain transition probabilities in the discrete-time domain. The obtained results have generalized several results in the previous literature that consider Markov transition probabilities as either a priori known or partially unknown.…”

Constrained Model Predictive Control for Nonlinear Markov Jump System With Persistent Disturbance via Quadratic Boundedness

“…In [14], a state-feedback control scheme was analyzed for stabilization, H 2 and H ∞ performance under a hidden-observation which recovered many relevant cases preciously studied in the literature of MJSs, such as clustered observations, detector-based observations and periodic observation of the mode signal. Because of the excellent capability to balance system performance and robustness, mixed H 2 /H ∞ optimal control was successfully applied in MJSs with time-delay [15], input constraints and disturbances [16].…”

H∞ Filter Design for Networked Control Systems: A Markovian Jump System Approach

“…e Markovian jump system (MJS) refers to a stochastic system with multiple model states and the system transitions between modes in accordance with the properties of the Markov chain due to the multimode transition characteristics of the Markovian jump system in the actual engineering. It can be used to simulate many systems with abrupt characteristics, such as manufacturing systems and faulttolerant systems [14][15][16][17][18][19][20][21][22][23][24]. In [25], the exponential L 2 -L ∞ filter problem of the linear system is explored, and the system has both distributed delay, Markovian jump parameter, and norm bounded parameter uncertainty.…”