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Analysis and synthesis tools for a class of actuator-limited multivariable control systems

Marcopoli, Vincent R.
http://rave.ohiolink.edu/etdc/view?acc_num=case1058547886

Abstract Details

1995, Doctor of Philosophy, Case Western Reserve University, Electrical Engineering.
It is well known that actuator limits can introduce severe performance degradation and possible instability in control systems. Thus some form of limit protection is required in practical control problems. Though there exist schemes which successfully address this problem in single-input, single-output systems, there are comparatively few methods for multi-input multi-output systems. This work investigates a class of actuator-limited multivariable control systems proposed in the literature, characterized by a static gain limit protection matrix parameter, Λ. The application of traditional high-gain antiwindup methods to such multivariable systems is first considered. It is shown that the issue of plant directionality in saturated systems can be addressed by appropriate treatment of the nonlimited actuators during saturation. However, limitations on the applicability of the simple directionality philosophy motivate the study of a more general approach to limit protection design. To this end, the design of limit protection is cast as a nonlinear robust control design problem. Recent results from the study of linear matrix inequalities provide analysis tools which give nonlinear measures of stability and performance. These tools are shown to give rise to an iterative approach to the synthesis of Λ. This design method is seen to agree very closely with the earlier directionality approach, indicating that directionality issues are considered transparently. Furthermore, successful limit protection is achieved for a more complex F8 aircraft H-infinity control design, for which the simple directionality approach is not applicable. As a result of this work, it is seen that effective multivariable limit protection is indeed achievable via the static parameter, Λ. Finally, a surprising observation is made: High-gain antiwindup behavior is not necessary for successful multivariable limit protection
Stephen Phillips (Advisor)
92 p.
Actuator limits; Control systems, multivariable

Recommended Citations

Citations

  • Marcopoli, V. R. (1995). Analysis and synthesis tools for a class of actuator-limited multivariable control systems [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1058547886

    APA Style (7th edition)

  • Marcopoli, Vincent. Analysis and synthesis tools for a class of actuator-limited multivariable control systems. 1995. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1058547886.

    MLA Style (8th edition)

  • Marcopoli, Vincent. "Analysis and synthesis tools for a class of actuator-limited multivariable control systems." Doctoral dissertation, Case Western Reserve University, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=case1058547886

    Chicago Manual of Style (17th edition)

case1058547886
652
© 1995, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.