This brief paper synthesizes an output feedback $L2$-gain Control law for linear parameter varying (LPV) systems. The control law is embedded with an observer that does not require on-line measurements of the scheduling parameter variation rate. Results of simulation experiments are presented to evaluate the control law on a simulation experiments on a two-degree-of-freedom mass-spring-damper system.

1.
Tan, W., Packard, A. K., and Balas, G., 2000, “Quasi-LPV Modeling and LPV Control of a Generic Missile,” Proceeding of the American Control Conference, Chicago, Illinois, pp. 3692–3696.
2.
Giannelli, M., and Primbs, J., 2000, “An Analysis Technique for Optimization Based Control Applied to Quasi-LPV Plants,” Proceeding of the American Control Conference, Chicago, Illinois, pp. 1909–1913.
3.
Packard
,
A.
,
1994
, “
Gain Scheduling via Linear Fractional Transformation
,”
Syst. Control Lett.
,
22
, pp.
79
92
.
4.
Hong
,
B. S.
,
Yang
,
V.
, and
Ray
,
A.
,
2000
, “
Robust Feedback Control of Combustion Instability with Modeling Uncertainty
,”
Combust. Flame
,
120
, pp.
91
106
.
5.
Tan, K., and Grigoriadis, K. M., 2000, “L2-L2 and L2-L∞ Output-Feedback Control of LPV Sampled-Data Systems,” Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 4422–4427.
6.
Apkarian, P., Pellanda, P. C., and Tuan, H. D., 2000, “Mixed H2/Hinf Multi-Channel Linear Parameter-Varying Control in Discrete Time,” Proceeding of the American Control Conference, Chicago, Illinois, pp. 1322–1326.
7.
Gahinet, P., Apkarian, P., and Chilali, M., 1994, “Affine Parameter-Dependent Lyapunov Functions for Real Parametric Uncertainty,” Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, FL, pp. 2026–2031.
8.
Bara, G. I., Daafouz, J., Ragot, J., and Kratz, F., 2000, “State Estimation For Affine LPV Systems,” Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 4565–4570.
9.
Wu
,
F.
,
Yang
,
X. H.
,
Packard
,
A.
, and
Becker
,
G.
,
1996
, “
Induced L2-norm Control for LPV Systems with Bounded Parameter Variation Rates
,”
Int. J. Robust Nonlinear Control
,
6
, pp.
983
998
.
10.
Wu, F., 2000, “A Unified Framework for LPV System Analysis and Control Synthesis,” Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 4578–4583.
11.
Gahinet
,
P.
, and
Apkarian
,
P.
,
1994
, “
A Linear Matrix Inequality Approach to H∞ Control
,”
Int. J. Robust Nonlinear Control
,
4
, pp.
421
448
.
12.
Doyle
,
J. C.
,
Glover
,
K.
,
Khargonekar
,
P.
,
Francis
,
B. A.
,
1988
, “
State-Space Solutions To Standard H2 and H∞ Control Problems
,”
IEEE Trans. Autom. Control
,
34
, pp.
831
847
.
13.
Fung
,
Y.
,
Yang
,
V.
, and
Sinha
,
A.
,
1991
, “
Active Control of Combustion Instabilities with Distributed Actuators
,”
Combust. Sci. Technol.
,
78, pp.
217
245
.