Robust observer-based sliding mode H∞ control for stochastic Markovian jump systems subject to packet losses

A novel H∞ memory observer design for uncertain switched nonlinear systems using past output measurements

“…To this end, a robot trajectory tracking controller based on observer is proposed in Reference 26. Great progress has been made in the problem of $$$ {H}_{\infty } $$$ filtering and state observation for non‐switched systems 27‐32 . Without exception to the state estimation problem of switched systems, there have been abundant achievements in signal estimation for switched systems as well 21,33‐35 .…”

“…Without exception to the state estimation problem of switched systems, there have been abundant achievements in signal estimation for switched systems as well 21,33‐35 . In Reference 31, a class of observers have been designed, and then a robust sliding mode $$$ {H}_{\infty } $$$ control method for stochastic Markovic jump systems has been proposed based on the estimation of the system state. The literature, 32 which has proposed three ways of considering Lipschitz nonlinear condition into matrix inequalities, has presented a designed approach of $$$ {H}_{\infty } $$$ state observer for nonlinear systems in consideration of disturbance and noise attenuation.…”

“…The main aim of present work is to design a feasible robust observer for switched nonlinear systems using past output measurements. Compared with some existing research results, 20,21,23,31 the main contributions of this work are listed as follows. The $$$ {H}_{\infty } $$$ memory observer designed strategy has been developed for switched nonlinear systems by considering the past output measurements of switched systems and observers simultaneously. The memory observers constructed in this paper can reduce to the traditional Luenberger‐type observers when $$$ h=1 $$$.…”

Robust dynamic output feedback stabilization for uncertain singular Markovian jump systems with time‐varying delays

“…Markovian jump systems (MJSs) as an important kind of stochastic hybrid systems have attracted more and more attention over the past a few years. [1][2][3][4][5][6] Since MJSs can effectively describe a large of practical systems with a sudden change in the parameters and structures, where they have been widely investigated in the fields of manufacturing systems and network-based control and so on. [7][8][9][10][11][12] Moreover, a great number of fundamental results based on MJSs in stability analysis, H ∞ control, sliding mode control, filter design and so on have been obtained, see, References 13-17. Over the past decades, the control of singular systems has been largely investigated and applied in actual systems such as large power networks, flexible robots, circuit systems, economics and so forth.…”

Observer‐based finite‐time H∞ control of Itô‐type stochastic nonlinear systems

“…Many scholars have studied the role of this method in the field of stochastic systems and have achieved a lot of results. In Zhang et al [6], the sliding mode $$$ {H}_{\infty } $$$ control problem through observers was researched for random Markov jump systems. Adaptive dynamic surface control (DSC) design based on switched observers was studied of switched random nonlinear systems in Liu et al [7].…”