Output tracking control of nonlinear systems with mismatched uncertainties

Robust decentralized control for a class of uncertain nonlinear interconnected systems with similar structures

“…According to Lia et al (1992), assumption 2 is necessary. Assumption 2 implies that there exists a Lyapunov function v i0 …² i †such that for each i (iˆ1; 2; .…”

“…Lewkowicz and Sivan (1993) and Qu (1992) considered the robust stabilization for nonlinear uncertain systems and presented a robust control scheme guaranteeing the overall closed-loop systems to be asymptotically stable. Behtash (1990) and Lia et al (1992) dealt with single-input single-output (SISO) minimum-phase nonlinear systems and proposed a controller to ensure that the tracking error is ultimately bounded. Similarly, Elmali (1992) and Mahmoud and Khali (1996) used the sliding mode technique for multipleinput multiple-output (MIMO) nonlinear systems.…”

Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability

“…One typical achievement of these researches is that the state trajectories of the controlled systems can be driven into a bounded region so that the stability of the controlled system is ensured. These researches include [2][3][4][5][6][7].…”

Chattering free sliding mode controller for mismatched uncertain system

“…Active research is continuing for designing sliding mode controllers for systems affected by mismatched uncertainties which are difficult to handle. Typical solution in such cases is obtained by driving the system state trajectories to a bounded region and hence ensure the stability [12] [13] [14] [15] [16]. Though the sliding mode control enjoys robustness, it has a significant drawback known as chattering.…”