Gain–Scheduled Controller Design: Variable Weighting Approach

Open access


Among the most popular approaches to non-linear control is gain-scheduled (GS) controller, which can have better performance than robust and other ones. Our approach is based on a consideration that in linear parameter varying (LPV) system, scheduling parameters and their derivatives with respect to time are supposed to lie in a priori given hyper rectangles. To access the performance quality a new quadratic cost function is used, where weighting matrices are time varying depends on scheduled parameter. The class of control structure includes decentralised fixed order output feedbacks like PID controller. Numerical examples illustrate the effectiveness of the proposed approach.

[1] SATO, M. : Brief paper: Gain-Scheduled Output-Feedback Controllers Depending Solely on Scheduling Parameters via Parameter- Dependent Lyapunov Functions, Automatica 47 No. 12 (Dec 2011), 2786-2790.

[2] KÖROĜLU, H. : Robust Generalized Asymptotic Regulation via an LPV Controller without Parameter Derivative Dependence, 49th IEEE Conference on Decision and Control (CDC), Dec 2010, pp. 4965-4971.

[3] FAN WANG-BALAKRISHNAN, V. : Improved Stability Analysis and Gain-Scheduled Controller Synthesis for Parameter- Dependent Systems, IEEE Transactions on Automatic Control 47 No. 5 (May 2002), 720-734.

[4] LEITH, D. J.-LEITHEAD, W. E. : Survey of Gain-Scheduling Analysis and Design, International Journal of Control 73 No. 11 (2000), 1001-1025.

[5] RUGH, W. J.-SHAMMA, J. S. : A Survey of Research on Gain-Scheduling, Automatica 36 (Sep 2000), 1401-1425.

[6] GAHINET, P.-APKARIAN, P.-CHILALI, M. : Affine Parameter- Dependent Lyapunov Functions and Real Parametric Uncertainty, IEEE Transactions on Automatic Control 41 No. 3 (Mar 1996), 436-442.

[7] ENGWERDA, J.-WEEREN, A. : A Result on Output Feedback Linear Quadratic Control, Automatica 44 No. 1 (2008), 265-271.

[8] APKARIAN, P.-GAHINET, P.-BECKER, G. : Self-Scheduled H1 Control of Linear Parameter-Varying Systems: A Design Example, Automatica 31 No. 9 (1995), 1251-1261.

[9] STEWART, G. E. : A Pragmatic Approach to Robust Gain Scheduling, 7th IFAC Symposium on Robust Control Design, vol. 7, Aalborg Congress & Culture Centre, Denmark, 2012, pp. 355-362.

Journal of Electrical Engineering

The Journal of Slovak University of Technology

Journal Information

IMPACT FACTOR 2018: 0.636
5-year IMPACT FACTOR: 0.663

CiteScore 2018: 0.88

SCImago Journal Rank (SJR) 2018: 0.200
Source Normalized Impact per Paper (SNIP) 2018: 0.771

Cited By


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 181 134 18
PDF Downloads 70 62 10