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Design of optimal strongly stable digital control systems and application to output feedback control of mechanical systems. (English) Zbl 0616.93051
A new design method for an optimal digital series compensator is considered that is not produced by an optimal regulator incorporated with a state observer, but employs a new idea that assures total closed system optimality in one design step. However, the compensator so designed is not always stable, i.e. strong stability of the closed-loop system is not always guaranteed. For this case, the authors propose to use the inter- sample response to realize an optimal stable compensator and/or optimal output feedback control system. Especially when the given plant is a linearized mechanical system, such a strongly stable system can always be designed using only output data two samples prior to the current sample regardless of the system order and the parity interlacing property condition.

MSC:
93C57 Sampled-data control/observation systems
93B50 Synthesis problems
93C05 Linear systems in control theory
70Q05 Control of mechanical systems
93C95 Application models in control theory
93D15 Stabilization of systems by feedback
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