Stabilization of a class of sandwich nonlinear systems via state feedback.
ABSTRACT Abstract—In this paper, we consider the problems of semi- global and global internal stabilization of a class of sandwich systems consisting of two linear systems with a saturation ele- ment in between. We provide necessary and sufficient conditions for solvability of these problems by state feedback, and develop controllers for semi-global and global stabilization.
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Conference Proceeding: On the stabilizability of multiple integrators by means of bounded feedback controls[show abstract] [hide abstract]
ABSTRACT: It is known that a linear system x ˙= Ax + Bu can be stabilized by means of a smooth bounded control if and only if it has no eigenvalues with positive real part, and all the uncontrollable modes have a negative real part. The authors investigate, for single-input systems, the question of whether such systems can be stabilized by means of a feedback u =σ( h ( x )), where h is linear and σ( s ) is a saturation function such as sign( s ) min(| s |,1). A stabilizing feedback of this particular form exists if A has no multiple eigenvalues, and also in some other special cases such as the double integrator. It is shown that for the multiple integrator of order n , with n ⩾3, no saturation of a linear feedback can be globally stabilizingDecision and Control, 1991., Proceedings of the 30th IEEE Conference on; 01/1992
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ABSTRACT: We present sufficient conditions for the global stabilizability of two cascade connected nonlinear systems. These are based on general results concerning global asymptotic stability of triangular systems which are proved in the last section. For polynomial systems, in particular, the stabilizing feedback is given explicitly.Systems & Control Letters. 01/1990;
Conference Proceeding: Neural-hybrid control of systems with sandwiched dead-zones[show abstract] [hide abstract]
ABSTRACT: An adaptive inverse control scheme using a hybrid controller structure and a neural network based inverse compensator, is proposed for systems with unknown sandwiched dead-zone. This neural-hybrid controller consists of an inner loop discrete-time feedback structure incorporated with an adaptive inverse using a neural network for the unknown dead-zone, and an outer-loop continuous-time feedback control law for achieving the desired output tracking. The dead-zone compensator consists of two neural networks, one used as an estimator of the sandwiched dead-zone function and the other for the compensation itself. The weights of the two neural networks are tuned using a modified gradient algorithm. Simulation results are given to illustrate the performance of the proposed neural-hybrid controllerAmerican Control Conference, 2001. Proceedings of the 2001; 02/2001