Our control scheme is equipped with a gain-scaling factor, an amplifier, and a compensator to keep the system states bounded and reduce the ultimate bound of the output arbitrarily small. Our result shows that the proposed method has a distinct advantage over the existing results. | Journal of Automation and Control Engineering Vol. 4, No. 5, October 2016 Amplification Control of a Chain of Integrators with a Delay in the Input under Uncertain AC and DC Sensor Noise Sang-Young Oh DONGHEE Industrial Co., LTD., Gwangmyeong R&D Center, Gyeonggi-do, Korea Email: Min-Gil Jeong and Ho-Lim Choi Department of Electrical Engineering, Dong-A University, Busan, Korea Email: mgjeong@, hlchoi@ sensor noise. Unlike [5], the initial condition information is not known in advance. In order to solve our problem, motivated by [8], [9], we add a signal amplification scheme to our considered system. Then, a newly designed controller with compensator and gain-scaling factor is introduced. Via system analysis, we show that our proposed controller derives the system output into arbitrarily small bound. An example is given to verify the advantage of our controller over the one in [7]. Abstract—We consider a control problem of a chain of integrators where there is a finite constant delay in the input and uncertain AC and DC sensor noise in the feedback channel. If a finite constant delay and uncertain sensor noise are included in a controller via the feedback channel, the signal is distorted and the entire system cannot work normally. Therefore, some appropriate action for a finite constant delay and uncertain AC and DC sensor noise effect is essential in the controller design. Our control scheme is equipped with a gain-scaling factor, an amplifier, and a compensator to keep the system states bounded and reduce the ultimate bound of the output arbitrarily small. Our result shows that the proposed method has a distinct advantage over the existing results. II. AMPLIFICATION SCHEME AND SENSOR We consider a chain of integrators with delayed input x i xi 1 , x n u (t ) Index Terms—chain of integrators, amplification, compensator, input-delay, AC/DC sensor noise i 1, , n 1 (1) y .
