Stabilization of Multiple-Input Multiple-Output Linear Systems With Saturated Outputs

• Published in: IEEE transactions on automatic control Vol. 55; no. 9; pp. 2160 - 2164
• Main Authors: Grip, H F, Saberi, A, Xu Wang
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Acceleration; Actuators; Applied sciences; Asymptotic properties; Automotive engineering; Computer science; control theory; systems; Constrained control; Control system synthesis; Control systems; Control theory. Systems; Exact sciences and technology; Linear systems; Mathematical analysis; MIMO; Nonlinear equations; Open loop systems; Output feedback; Saturation; sensor saturation; Strategy; Vectors; Vectors (mathematics); MIMO system; Stabilization; Measurement sensor; Control synthesis; Dead beat control; Constrained optimization; Control constraint; sensor saturation; Linear time invariant system; Output saturation; Constrained control; SISO system; Asymptotic approximation; Output feedback
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2051250

We consider linear time-invariant multiple-input multiple-output systems that are controllable and observable, where each output component is saturated. We demonstrate by constructive design that such systems can be globally asymptotically stabilized by output feedback without further restrictions. This result is an extension of a previous result by Kreisselmeier for single-input single-output systems. The control strategy consists of driving the components of the output vector out of saturation one by one, to identify the state of the system. Deadbeat control is then applied to drive the state to the origin.