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A LS-SVM based adaptive tracking control approach is presented for a class of unknown nonlinear dynamic systems in this paper. Based on input/output feedback linearization approach, the nonlinear system is transformed into partially linear controllable system. Then the LS-SVM technique is employed to perform approximating unknown nonlinear functions. The updating rule of LS-SVM parameters is derived...
This paper considers the synchronization problem of a class of non-smooth-air-gap PMSM chaotic systems with unknown parameters. Based on the adaptive control idea, a new adaptive controller is implemented to synchronize the uncertain PMSM chaotic system. By denoting the synchronization error signal as the difference between the drive system and the response system, the synchronization error system...
State feedback control synthesis problems for a class of polynomial nonlinear systems are investigated in this paper. Less conservative sufficient conditions to achieve the closed-loop stability with or without Hinfin performance are formulated in terms of state dependent matrix inequalities. By introducing additional matrix variables, we succeed in eliminating the involved coupling between system...
This paper addresses the stability analysis and state feedback synthesis for parameter-dependent nonlinear systems with polynomial vector fields. Based on the Lyapunov stability theorem, sufficient conditions to test the stability of the closed-loop system are presented and the synthesis problem of stabilizing feedback controller to enlarge the regions of attraction is converted to the optimization...
In this paper, we address the nonlinear optimal control problem for parameter-dependent nonlinear systems with polynomial vector fields. Based on the state dependent coefficient form, sufficient conditions to guarantee the closed-loop stability and bounded performance index are presented as state dependent linear matrix inequalities, which can be formulated as sum-of-squares based conditions and solved...
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