Robust Stability Analysis And Robust Control Of Uncertain Sampled-data Systems

Considering the parameter uncertainties and extermal disturbance of sampled-data systems, the robust control problems for the sampled-data systems with uncertainties are studied in this paper. The robust control theory is a more resultful way than the modern control theory on robust permance and the sythemetics of system. Therefore,For the uncertain sampled-data systems, in this paper the following contents are discussed:First, the robust H_∞control problem of a class of sampled-data systems with the structural uncertainties is developed. By using the LMI method and Lypunov stable theory, it gived the robust stable sufficient condition for the uncertain sampled-data system. Synchronously the designed method of the robust H_∞controller and the optimizational robust H_∞controller are gained. The result in this paper is better on a lot of performance target than the result presented.Second, for a class of sampled-data systems with norm-bounded uncertainty, the robust H 2 /H_∞mixed control problem is studied. For the problem, the usual method with usage of a public Lyapunov matrix leaded to the result with certain conservative. In this paper by resolving a convex optimization problem with LMI contrains, a way with less conservative is proposed for H 2 /H_∞mixed control of sampled-data systems with norm-bounded uncertainty.Third, it presented the robust H_∞control for a class of uncertain sampled-data system with poles constrain. From the sufficient and necessary condition of system matrix D ?stability, the robust H_∞controller with poles constrain is designed for uncertain sampled-data system. And by the optimization of the H_∞performance targetγ, it obtained the optimizational robust H_∞controller with poles constrain.