Simultaneous pole-placement/stabilization of pairs of linear time-invariant plants using a continuous-time periodic controller

• Published in: Journal of control theory and applications Vol. 9; no. 4; pp. 493 - 499
• Main Authors: Dey, Jayati, Das, Sarit K.
• Format: Journal Article
• Language: English
• Published: Heidelberg South China University of Technology and Academy of Mathematics and Systems Science, CAS 01.11.2011; Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India 721302; Department of Electrical Engineering, National Institute of Technology, Durgapur, India 713209
• Subjects: Algebra; Complexity; Computation; Computational Intelligence; Control; Control and Systems Theory; Control theory; Design engineering; Engineering; Mechatronics; Optimization; Ripples; Robotics; SISO; Stabilization; Synthesis; Systems Theory; 控制器综合; 时间周期; 极点配置; 植物; 线性代数; 线性时不变; 设计过程; Simultaneous pole-placement/stabilization; Periodic controller
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-011-0007-5

Given a pair of single input single output （SISO）, linear time-invariant （LTI）, and strictly proper plants of relative order r, this paper employs a continuous-time periodic controller to achieve 1） simultaneous pole-placement for r = 1 and 2） guaranteed simultaneous stabilization for r = 2, 3, and 4, which jobs LTI controllers cannot, in general, do. The controller also ensures insignificant output ripples. The analysis is based on averaging principle. The computational steps for controller synthesis are linear algebraic in nature. An example illustrates the design procedure.