Title :
On reset control systems with second-order plants
Author :
Chen, Q. ; Hollot, C.V. ; Chait, Y ; Beker, O.
Author_Institution :
Dept. MIE, Massachusetts Univ., Amherst, MA, USA
Abstract :
Reset control has the potential of providing better trade-offs among competing specifications compared to LTI control. We consider a specific class of reset control systems consisting of a feedback interconnection between a linear second-order system and a so-called first-order reset element. Despite the simplicity of this feedback system, few theoretical results are available to quantify stability and performance. The paper develops a necessary and sufficient condition for asymptotic stability and a sufficient condition for BIBO stability. We also characterize steady-state response, overshoot, rise time and settling time to step input
Keywords :
asymptotic stability; feedback; linear systems; state-space methods; step response; BIBO stability; competing specifications; feedback interconnection; first-order reset element; linear second-order system; necessary and sufficient condition; overshoot; reset control systems; rise time; second-order plants; settling time; steady-state response; step input; sufficient condition; Asymptotic stability; Control systems; Linear feedback control systems; Linear systems; Noise figure; Nonlinear filters; Sensor systems; Sliding mode control; Sufficient conditions; Time factors;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878828