Dynamic Output-Feedback Control for Singular Markovian Jump System: LMI Approach

Dynamic output‐feedback control for continuous‐time singular Markovian jump systems

“…Remark Compared to the existing research, this paper deals with control for stabilizing SMJSs with disturbance. To obtain the necessary and sufficient condition for the existence of dynamic output‐feedback control, we first derive the stochastic admissibility criterion with γ ‐disturbance attenuation of SMJSs.…”

“…On its theoretical side, researchers considered stabilization problems for SMJSs. [11][12][13][14][15] They used the state-feedback control for SMJSs where the states are measurable. 11,12 Otherwise, there also exist many research studies for the systems with unmeasurable states.…”

“…11,12 Otherwise, there also exist many research studies for the systems with unmeasurable states. [16][17][18] Especially, Boukas, 13 Raouf and Boukas, 14 and Kwon et al 15 studied the static output-feedback control and dynamic output-feedback control for SMJS, respectively.…”

Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays

“…e past few decades have witnessed the prosperous research on MJSs because it can simulate the structure and parameter changes of real dynamic systems, such as biological economics systems, network control systems, power electronic systems, and mechanical engineering systems [5][6][7][8][9]. It is known that singular systems are completely different from ordinary systems, and when dealing with the stability of singular systems, we need to consider its regularity, the unique impulse-free solution, and admissibility, which are not considered in ordinary systems [10][11][12][13][14][15][16][17]. However, the singular systems have attracted much attention, and many studied results about singular systems have been reported because of their extensively practical applications, such as the filtering problem investigated in [10,11], H ∞ control problem studied in [12], stabilization problem addressed in [13], dissipative control problem investigated in [14], dynamic output feedback control problem considered in [15], and sliding mode control presented in [16].…”

Reliable exponential filtering for singular Markovian jump systems with time‐varying delays and sensor failures

“…Lots of results on different kinds of singular systems have been published in the literature; see, eg, other works . Among these, much effort has been done for the analysis and synthesis of singular Markovian jump systems (SMJSs); see, eg, other works and the references therein. Singular Markovian jump systems can describe a class of singular systems which encounter abrupt changes in their structures.…”