State Observer for Linear Time-Invariant Systems With Quantized Output

Author:

Sur Joono1,Paden Brad E.1

Affiliation:

1. Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106

Abstract

In this paper we introduce a state observer for linear time-invariant systems with quantized outputs. The observer employs an orthogonal projection operation at quantizer output discontinuities to enhance its convergence rate for stable systems. The increasing rate of convergence and stability has been proven by using Lyapunov second method. Some sufficient and necessary conditions of stability for the unstable systems are derived. The sufficient condition of noise stability is given and the maximal bound of noise stability is presented. The proposed methodology has been applied to state estimation of a DC-motor with optical encoder.

Publisher

ASME International

Subject

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

Reference11 articles.

1. Curry, R. E., 1970, Estimation Control with Quantized Measurements, M.I.T. Press, Cambridge, MA.

2. Delchamps, D. F., 1988, “New Techniques for Analyzing the Effects of Output Quantization in Feedback System,” Proceedings of the 1988 Conference on Information Sciences and Systems, Princeton, NJ, pp. 228–232.

3. Delchamps, D. F., 1989, “Extracting State Information from a Quantized Output Record,” Systems and Control Letter 13, North-Holland pp. 365–372.

4. Friendland, B., 1986, Control System Design, McGraw-Hill, New York.

5. Gevers M., and Li, G., 1993, Parameterization in Control, Estimation and Filtering Problems, Springer-Verlag.

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