Exponential stabilization of a constrained bilinear system

Authors:
Min-Shin Chen
Affiliations:
Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, People's Republic of China
Venue:
Automatica (Journal of IFAC)
Year:
1998

Citing 2
Cited 6

Linear system theory

Linear system theory
Nonlinear systems analysis (2nd ed.)

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Exponential and Weak Stabilization of Constrained Bilinear Systems

SIAM Journal on Control and Optimization
Brief paper: Global stabilization of semilinear systems using switching controls

Automatica (Journal of IFAC)
Technical Communique: Switched controllers and their applications in bilinear systems

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Continuous stabilization controllers for singular bilinear systems: The state feedback case

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Further results for robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties

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New robust H∞ fuzzy control for the interconnected bilinear systems subject to actuator saturation

ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II

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Abstract

For a bilinear system that is open-loop neutrally stable, a quadratic state feedback control has been proposed to ensure global asymptotical stability of the closed-loop system. In this paper, a new nonlinear control is proposed so that the closed-loop system is not only asymptotically stable but also exponentially stable. The new control results in a much faster state convergence rate than the quadratic control; furthermore, it can be applied to systems with tight saturation limits on the control input.