Parameterized bilinear matrix inequality techniques for ℋ<inf>∞</inf> gain-scheduling proportional integral derivative control design
- Publisher:
- WILEY
- Publication Type:
- Journal Article
- Citation:
- International Journal of Robust and Nonlinear Control, 2020, 30, (10), pp. 3886-3905
- Issue Date:
- 2020-07-10
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© 2020 John Wiley & Sons, Ltd. Proportional-integral-derivative (PID) structured controller is the most popular class of industrial control but still could not be appropriately exploited in gain-scheduling control systems. To gain the practicability and tractability of gain-scheduling control systems, this paper addresses the (Formula presented.) gain-scheduling PID control. The design of such a controller is based on parameterized bilinear matrix inequalities, which are then solved via a bilinear matrix inequality optimization problem of nonconvex optimization. Several computational procedures are developed for its computation. The merit of the developed algorithms is shown through the benchmark examples.
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