Robust \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) switched feedforward control of uncertain LFT systems. (English) Zbl 1342.93047
Summary: This paper presents a new robust switched feedforward control scheme for a class of uncertain systems described in a standard linear fractional transformation form. First, the analysis conditions for switching stability are derived by using a piecewise Lyapunov function incorporated with the min-switching control technique. Based on the analysis results, the synthesis conditions are then formulated as a special type of bilinear matrix inequalities, which can be solved by means of linear matrix inequalities and line search. Both robust \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) feedforward control problems are considered. The proposed robust switched control scheme outperforms existing robust feedforward control approaches for uncertain systems based on single quadratic Lyapunov function, and leads to less conservative control design. Numerical examples will be used to illustrate the effectiveness and advantages of the proposed results.
MSC:
| 93B35 | Sensitivity (robustness) |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C41 | Control/observation systems with incomplete information |
| 93B50 | Synthesis problems |
| 93C05 | Linear systems in control theory |
Keywords:
robust feedforward control; switching control; uncertain LFT systems; \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) performanceReferences:
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