Disturbance and state observer-based adaptive finite-time control for quantized nonlinear systems with unknown control directions |
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| Institution: | 1. The Marine Electrical Engineering College, Dalian Maritime University, Dalian 116026, China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China;3. School of Control Engineering, Northeastern University - Qinhuangdao Campus, Qinhuangdao 066004, China;1. Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, 264209, PR China;2. Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China |
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| Abstract: | This paper concentrates on proposing a novel finite-time tracking control algorithm for a kind of nonlinear systems with input quantization and unknown control directions. The nonlinear functions in the system are approximated by the means of strong approximation capability of the fuzzy logic systems. Firstly, the nonlinear system with unknown control directions is transformed into an equivalent system with known control gains by coordinate transformation. Secondly, the unknown system states are estimated by a designed fuzzy state observer, and the disturbance observer is constructed to track the external disturbances. The command filtering method is proposed to approach the problem of “explosion of complexity” existed in the conventional backstepping design process. In this system, the difficulties caused by unknown control directions are solved via the Nussbaum gain approach. Finally, based on the fuzzy state observer, the controller of the original system is obtained via using the transformed system by the backstepping method. The boundedness of all signals and the convergence of tracking and observer errors at the origin are ensured for the closed-loop system, and demonstrated by the simulation result in this paper. |
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