This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Optimal Design of Reliable Control Systems
Annotation ability available
Sector:
Language:
English
Abstract
In practical applications, failures in the components of the control system can lead to improper, or even unstable, operation of the control loop. These failures can be associated with the process (abrupt change in the process dynamics), the measuring and manipulating devices (sensors, actuators) or the controller itself. It is therefore desired to design control system capable of handling such events in the sense that stability is guaranteed and performance degradation is minimized. The proposed formulation of the reliable performance problem involves the simultaneous minimization of the performance index for all considered failure scenarios. Employing the fractional representation theory, the reliable performance problem is formulated as a quadratically constrained control problem. The solution to this problem is discussed in this paper and an illustrative example is presented.
Authors
Citation
Sourlas, D. and Manousiouthakis, V., "Optimal Design of Reliable Control Systems," SAE Technical Paper 932283, 1993, https://doi.org/10.4271/932283.Also In
References
- Saeks R. Murray. J. “Fractional representations, algebraic geometry and the simultaneous stabilization problem.” IEEE - TAC AC-27 895 903 1982
- Vidyasagar M. Viswanadham N. “Reliable stabilization using a multicontroller configuration.” Proc IEEE Conf. on Decision and Control 856 859 1983
- Siljak D. “On reliability of control,” Proc. IEEE Conf. on Decision and Control 687 694 1978
- Vidyasagar M. Viswanadham N. “Algebraic design techniques for reliable stabilization,” IEEE - TAC AC-27 1085 1095 1982
- Vidyasagar M. Control System, Synthesis. A factorization Approach Cambridge, MA MIT Press 1985
- Kailath T. Linear Systems Englewood Cliffs, N.J. Prentice Hall 1980
- Desoer C. A. Vidyasagar M. Feedback Systems : Input - Output Properties New York Academic Press 1975
- Wheeden R. L. Zygmund A. Measure and Integral. An Introduction to Real Analysis New York Marcel Dekker Inc. 1977
- Fiacco A. Introduction to Sensitivity and Stability Analysis in Nonlinear Programming New York Academic Press 1983
- Vidyasagar M. “Optimal rejection of persistent bounded disturbances,” IEEE Trans. Automat. Contr. AC-31 527 534 1986
- Manousiouthakis V. “On a minimax approach to robust controller synthesis and model selection,” Proc. American Control Conf. 2353 2356 1988
- Manousiouthakis V. “A game theoretic approach to robust control synthesis and the Shell control problem.” The Second Shell Process Control Workshop 291 313 1990
- Manousiouthakis V. “A game theoretic approach to robust controller synthesis,” Special Control Issue, Comp. Chan. Engin. 14 381 389 1990
- Luenberger D. G. Optimization by Vector Space Methods New York John Wiley & Sons Inc. 1969
- Sourlas D. Manousiouthakis V. “On l 1 — l ∞ simultaneously optimal control,” IEEE Trans. Automat. Contr . (submitted) 1992
- Murtagh B. A. Saunders M. A. MINOS 5.1 User's Guide. Technical Report SOL 8S-20R Department of Operations Research, Stanford University January 1987
- Liebman J. Lasdon L. Schrage L. Waren A. Modelling and Optimization with GINO The Scientific Press 1986
- Manousiouthakis V. Sourlas. D. “A global optimization approach to rationally constrained rational programming,” Cliem. Eng. Comm 115 127 147 1992
- Soland R. M. “An algorithm for separable nonconvex programming problems ii: Nonconvex constraints,” Manag. Sci. 17 759 773 1971
- Alefeld G. Herzberger J. Introduction to Interval Computations Academic Press 1983