PD-control for stablewise tracking with finite reachability time: Linear continuous-time MIMO systems with state-space description. (English) Zbl 0794.93072
Summary: The key problems addressed and solved in the framework of time-invariant continuous-time multiple-input multiple-output (MIMO) linear systems are the following: (a) the necessary and sufficient condition on the system under which there exists a control that can force the system to exhibit a requested tracking property without using any information about the mathematical description of the system internal dynamics and external disturbances; (b) the synthesis of an output error algorithm expressing stablewise tracking with finite (pre-specified) reachability time; (c) the synthesis of a Proportional-Derivative (PD) control algorithm for stablewise tracking with finite (given) reachability time without utilizing a mathematical model of the system internal dynamics, its state and the unmeasured, unknown time-varying disturbances. Simulation results illustrate the theory with an unstable MIMO system under different desired stablewise tracking settling times.
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