Journal article
An upper bound on structurally stable linear regulation of a parameter-dependent family of control systems
Systems & control letters, v 23(2)
1994
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We investigate the use of a linear compensator to regulate a parameter-dependent control system. This system may be linear or nonlinear. Our goal is to design a compensator that will ensure stable regulation over a wide range of parameter values. This paper reports a fundamental limitation on achieving this aim. In particular, we show that systems with a special, unregulatable, structure form hypersurfaces on the open-loop equilibrium manifold. Such systems include, but are not restricted to, those with transmission zeros at the origin. These surfaces partition the open-loop equilibrium manifold into disjoint open sets. We show that a linear compensator designed to regulate a system in some such partition must fail to regulate almost all systems in an adjacent partition. Therefore, by consideration of the open-loop system only, we derive upper bounds on the robustness of any linear regulator. We discuss some other qualitative aspects of the closed-loop dynamics.
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Details
- Title
- An upper bound on structurally stable linear regulation of a parameter-dependent family of control systems
- Creators
- Jordan Berg - Drexel UniversityHarry G. Kwatny - Drexel University
- Publication Details
- Systems & control letters, v 23(2)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:A1994PB64700002
- Scopus ID
- 2-s2.0-0028485892
- Other Identifier
- 991019173645604721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Automation & Control Systems
- Operations Research & Management Science