A Constrained Controller Based on State Estimation

IntroductionIn practice, owing to the limitations of actua-tors and other physical properties, the inputs of asystem are often subject to constraints. It has sig-nificant theoretical and engineering values to inves-tigate the control of constrained systems. In thepast years, many attempts have been made on thisissue1-5]. For a class of uncertain constrained dis-crete-time systems, Kothare, et al4]proposed anonline receding predictive control algorithm. Byanalyzing the degradation condition …

A Constrained Controller Based on State Estimation

For a class of linear discrete-time systems whose states can not be measured directly, an approach to designing the constrained controller based on state estimation was proposed. By constructing a proper linear state observer for the controlled system, the sufficient condition to convergence of the state error was derived. Under a simple assumption on the initial state error, we presented an LMI-based method to design the constrained feedback gain and the observer gain. An example was used to illustrate our results.