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The problem of robust stabilization of time-delay nonlinear systems with Markovian jump with a triangular structure is studied. Based on backstepping method, we prove that the closed system is almost surely asymptotically stable and the controller and the associated Lyapunov function is independent of the generator of the Markov process.
Tracking control of nonlinear uncertain Chua's chaotic systems is studied. Based on coordinate transform, the paper deduced the principle with which Chua's chaotic system can be translated into the so-called general strict-feedback form. Combining the back stepping method with robust control technology, an adaptive parameter control law is developed and thus the output tracking is successfully accomplished...
In this paper, adaptive neural control is investigated for a class of nonlinear stochastic systems with stochastic disturbances and unknown parameters. Under the condition of all system states being available for feedback, by employing the back stepping method, a suitable stochastic control Lyapunov function is then proposed to construct an adaptive neural network state-feedback controller, and unknown...
The tracking control problem of Duffing-Holmes chaotic systems containing unknown parameters is studied. Based on the backstepping design method, special barrier functions are employed in Lyapunov synthesis. The derived adaptive robust controller guarantees the closed-loop system globally uniformly ultimate bound, and the tracking error is convergent to a small neighborhood of zero. In addition, the...
A novel robust adaptive control based on neural state observer is proposed for strict-feedback nonlinear systems with state delays. A state observer with neural networks approximators is established to estimate the system states. By using the backstepping method, adaptive output feedback controller is constructed which can achieve the output trajectory. Both the designed observer and controller are...
In this paper, the kinematics and dynamics of free-floating space robot system with dual-arms are analyzed. Considering the Uncertainties of the system, the state function of the space robot system with dual-arms is established. Using backstepping method, a new adaptive robust tracking control method using GCMAC(Gauss basis function Cerebellar Model Articulation Controller) is proposed. The Lyapunov...
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