Stability and Control of Linear Parameter Varying Systems

The framework of Linear Parameter Varying (LPV) systems has proven to be a systematic way to model nonlinear real-world phenomena and synthesize gain-scheduled controllers for nonlinear systems. The applications of LPV systems include the automotive industry, turbofan engines, robotics, and aerospace systems. Apart from nonlinearity, real-world applications are often affected by time delays, that can degrade the performance of the dynamical systems, or in the worst case, they can cause instability. Time delays frequently appear in communication networks, mechanical systems, PVTOL aircraft, robotized teleoperation, and many other domains. Since time delays can also adversely affect the stability of the LPV systems, it is quite natural to study the stability LPV systems with time delays, which is one of the main focus of this project. A particular attention will be paid to the study of stability and control of LPV systems with piecewise continuous parameters which can be regarded as switched systems with an uncountable number of modes in a bounded compact set.

• To study stability and control of LPV systems with piecewise constant parameters and delay.
• To explore the possibility of extending the results to LPV systems with stochastic piecewise constant parameter trajectories and stochastic time-delays.
  
  

• M. Zakwan and S. Ahmed. Distributed output feedback control of decomposable LPV systems with delay and switching topology: Application to consensus problem in multi-agent systems. International Journal of Control, DOI: 10.1080/00207179.2019.1710257.
• M. Zakwan and S. Ahmed. Dwell-time based stability analysis and L2 control of LPV systems with piecewise constant parameters and delay. Systems and Control Letters, 2020, in revision.
• M. Zakwan, S. Ahmed, and N. Bajcinca. On output feedback stabilization of time-varying decomposable systems with switching topology and delay. The 2020 IFAC World Congress, Berlin, Germany.

LPV systems
Output feedback control
Clock-dependent L-K functional
Wirtinger's Inequality
Delay

Dr. Saeed Ahmed
Gottlieb-Daimler-Str. 42
67663, Kaiserslautern
Phone: +49 (0)631/205-5093
Fax: +49 631/205-4201
saeed.ahmed(at)mv.uni-kl.de

State of Rhineland-Palatinate

Since 2020

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