Robust Predictive Control of Singular Systems with Structured Feedback Uncertainty
The problem of output feedback robust model predictive control is presented for the singular systems with structured feedback uncertainties which is described into linear fractional model. When the system states are immeasurable, the sufficient conditions for the existence of output feedback controller are obtained by linear matrix inequalities. The infinite time domain “min-max” optimization problem is converted into convex optimization problem. The robust stability of the closed-loop singular systems is guaranteed by the initial feasible solution of the optimization problem.The regularity and the impulse-free of singular systems are also held. A simulation example shows the effectiveness of the method.
KeywordsRobust predictive control Singular systems Uncertainty Output feedback Linear matrix inequalities
This work is supported by National Nature Science Foundation under Grant 61174097.
- 1.Marija D, Marko S (2009) Singular systems, state feedback problem. Linear Algebra Appl 4(24):1267–1292Google Scholar
- 3.Kouvaritakis B, Rossiter JA, Schuurmans J (2000) Efficient robust predictive control. IEEE Trans Autom Control 45(8):1545–154Google Scholar
- 7.Liu XH, Wang LJ (2009) Robust model predictive control for singular systems via dynamic output feedback. Control Decision 24(9):1371–1376Google Scholar