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The adaptive stabilization problem of linear systems with unknown parameters and noise models is studied in this paper, we investigate continuous time jump linear systems with a finite-state hidden Markov jump form process. A sufficient and necessary condition characterizing the adaptive stabilizability of the system is found. It is worth mentioning that a constructive method for designing stabilizing...
This paper proposes a novel policy-iteration-based adaptive optimal scheme for uncertain continuous-time linear systems with excitation signals. The proposed method can solve the related linear quadratic optimal control problem in online fashion exactly and safely. In order to maintain persistence excitation condition, the controller injects the small excitation signals to the system. For this linear...
In this paper, an adaptive digital implementation of an inverse model based control scheme for a system with parametric uncertainty is proposed using generalized sampling and hold functions. The implementation of the control law using this kind of holds allows overcoming the difficulties related to the presence of unstable zeros in the continuous-time model and the usual appearance of unstable discretization...
A direct adaptive control method with a simple identification of the controller parameters is presented for a class of uncertain time-varying nonlinear systems. The systems are divided into a finite number of subsystems, which are interpolated by functions of an exogenous scheduling variable. The adaptive method yields stability of all signals in the closed-loop, as well as convergence of the state...
Adaptive control systems are designed to achieve desired control performance when plant parameters gains are unknown, or possibly slowly changing. Highly calculation technology is developed, more important discrete-time adaptive control structure is. Because the relative degree condition for strict positive realness (SPR) of the discrete-time error transfer function is different from the condition...
This paper deals with the decentralized adaptive control of a class of multivariable continuous-time interconnected systems described in the state space form. The interconnection terms are assumed to be unknown but bounded. A new predictive approach is proposed to predict them by using the orthogonal Legendre basis of functions. The problem is investigated in both the decentralized adaptive stabilization...
This paper is concerned with the control of a class of continuous-time nonlinear dynamic systems preceded by unknown non-symmetrical, non-equal slope dead-zones. By exploring the properties of the dead-zone model intuitively and mathematically, an adaptive sliding mode inverse control scheme is developed by constructing a dead-zone inverse for compensation. The proposed approach ensures global stability...
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