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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.

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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