Arbitrarily fast exponentially stabilizing controller for multi-input, persistently exciting singular control gain systems

作者：Srikant Sukumar^*; Akella Maruthi

来源：Automatica, 2015, 54: 279-283.

DOI：10.1016/j.automatica.2015.02.008

• Persistence of excitation
• Stabilization
• Singular gain systems
• Time-varying systems

We develop a new technique for stabilizing multi-input linear systems with unstable drift and time-varying, singular gains on the control. The results presented here assume the control gain to be sufficiently smooth and satisfy a persistence of excitation condition. A novel persistence filter construction is proposed that enables a non-trivial generalization of the authors' previous result on stabilization of single-input linear systems. The paper also presents an adaptive control extension of the main result.

• 出版日期2015-4