Global Tracking via Output Feedback for Nonlinear MIMO Systems

Backstepping control of multi‐input non‐linear systems

“…Lin and Qian [27] designed the output feedback controller for a class of non‐linear systems to achieve the stability of the uniform semi‐global asymptotic stable. From the above MIMO works, it can be seen that only the methods proposed in our paper and the works [23–27] can achieve the asymptotically stable. However, the input uncertainties in the controller effort as well as in the virtual input were not considered in the work [23] and the mismatched perturbations considered in the works [8, 24, 25] must be assumed as in the linearly parameterised form.…”

“…From the above MIMO works, it can be seen that only the methods proposed in our paper and the works [23–27] can achieve the asymptotically stable. However, the input uncertainties in the controller effort as well as in the virtual input were not considered in the work [23] and the mismatched perturbations considered in the works [8, 24, 25] must be assumed as in the linearly parameterised form. The control scheme in the works [26, 27] is not explicity presented the virtual input controller and the associated Lyapunov function candidate.…”

“…Sung et al [22] used the decentralised adaptive method to stabilise an uncertain interconnected non‐linear systems with unknown non‐symmetric dead‐zone inputs. To solve the output tracking problem, Kvaternik and Lynch [23] and Zhou and Wu [24] successfully proposed the filter transform and the high gain matrix factorisation technique to achieve the asymptotically stable, respectively. Yao and Tomizuka [25] presented an adaptive robust controller for a class of non‐linear systems with the semi‐strict feedback forms to achieve the asymptotical stability.…”

Adaptive output feedback tracking control for a class of uncertain switched nonlinear systems

“…Adaptive output feedback tracking control of nonlinear systems has been extensively studied in the last two decades, e.g., [1][2][3][4][5]. Recently, switched systems have attracted much attention from control community, and fruitful achievements have been developed such as stability analysis [6], dissipativity [7], controllability and reachability [8,9], H ∞ control [10], adaptive tracking control [11][12][13], etc.…”