Analysis of Reset Control Systems Consisting of a FORE and Second-Order Loop1

Author:

Chen Qian1,Chait Yossi2,Hollot C. V.3

Affiliation:

1. Motorola, Inc., Virtual Garage, 41700 Six Mile Road, Northville, MI 48167

2. MIE Department, University of Massachusetts, Amherst, MA 01003

3. ECE Department, University of Massachusetts, Amherst, MA 01003

Abstract

Reset controllers consist of two parts—a linear compensator and a reset element. The linear compensator is designed, in the usual ways, to meet all closed-loop performance specifications while relaxing the overshoot constraint. Then, the reset element is chosen to meet this remaining step-response specification. In this paper, we consider the case when such linear compensation results in a second-order (loop) transfer function and where a first-order reset element (FORE) is employed. We analyze the closed-loop reset control system addressing performance issues such as stability, steady-state response, and transient performance.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference18 articles.

1. Hu, H., Zheng, Y., Chait, Y., and Hollot, C. V., 1997, “On the Zero-Input Stability of Control Systems Having Clegg Integrators,” Proceedings of the American Control Conference, pp. 408–410, Albuquerque, NM.

2. Beker, O., Hollot, C. V., Chen, Q., and Chait, Y., 1999, “Stability of A Reset Control System Under Constant Inputs,” Proceedings of the American Control Conference, pp. 3044–3045, San Diego, CA.

3. Chen, Q., Hollot, C. V., Chait, Y., and Beker, O., 2000, “On Reset Control Systems with Second-Order Plants,” Proceedings of the American Control Conference, pp. 205–209, Chicago, IL.

4. Chen, Q., Chait, Y., and Hollot, C. V., 2000, “Stability and Asymptotic Performance Analysis of a Class of Reset Control Systems,” Proceedings of Decision and Control Conference, pp. 251–256, Sydney, Australia; also in www.ecs.umass.edu/mie/labs/dacs/index2.html#publications.

5. Beker, O., Hollot, C. V., and Chait, Y., “Quadratic Stability and Internal Model Principle for Reset Control Systems,” UMass ECE Technical Note #TN01_0412.

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