Robust $$\mathcal{H}_\infty$$ Observer-based Stabilization of Linear Discrete-time Systems with Parameter Uncertainties

Observer‐based decentralized robust H∞ output tracking control with preview action for uncertain and disturbed nonlinear interconnected systems

“…Theorem 1 provides a sufficient condition for the existence of the controller (19). However, this theorem cannot be directly used because the matrix inequality condition (23) includes the parameter uncertainties and nonlinear coupling terms.…”

“…In this situation, a preferred alternative is to reconstruct the unavailable state variables via efficient digital sensors called state observers. Much effort has been devoted to this area, and we refer readers to previous studies [16][17][18][19]. State observation approaches for interconnected systems have attracted significant attention.…”

“…State observation approaches for interconnected systems have attracted significant attention. For instance, an interconnected state observer using the interconnection information between subsystems has been proposed in previous works [9][10][11][12][13][14][15][16][17][18][19][20]. Meanwhile, state observer designs that use only local input and output information for reconstructing the states of individual subsystems in decentralized frameworks have already become a trend in the investigation of the state reconstruction problem in interconnected systems (see previous literature [21][22][23][24] and the references therein).…”