Robust Control
Table of contents
Linear Time Varying Control:
A large number of automated systems follow precalculated trajectories, making their nonlinear dynamics exclusively time-dependent. The direct analysis of the nonlinear dynamics, especially in the presence of disturbances or uncertainties, is extremely complex and time-consuming. However, if they are linearized along the reference trajectory, linear time-varying systems result, for which in turn a variety of analytical robustness criteria exist. These allow the fast and efficient identification of worst-case scenarios in the design and approval process of control systems.
Research Staff: Felix Biertümpfel
Selected Publications:
- Biertümpfel F., Theis J., and Pfifer H., "Observer-Based Synthesis of Finite Horizon Linear Time-Varying Controllers", American Control Conference, 2022. 10.23919/ACC53348.2022.9867184, pdf
- Evangelisti L., Pfifer H., "Probabilistic Robustness Analysis of Uncertain LTV Systems in Linear Fractional Representation", IEEE L-CSS, 2021. 10.1109/LCSYS.2021.3078881
- Ossmann D. and Pfifer H., "Robustness Analysis of Continuous Periodic Systems using Integral Quadratic Constraints", IEEE 58th Conference on Decision and Control (CDC), 2019.10.1109/CDC40024.2019.9029808
- Biertümpfel F. and Pfifer H., "Worst Case Gain Computation of Linear Time-Varying Systems over a Finite Horizon", IEEE Conference on Control Technology and Applications (CCTA), 2018, 10.1109/CCTA.2018.8511591.
Linear Parameter Varying Control:
Linear parameter-varying (LPV) control is a powerful tool for designing self-scheduled control systems. Performance is usually specified in terms of the induced L2-norm,
providing a natural extension of the widely popular Hinf-control framework. Thus, various control objectives can be specified in a classical mixed sensitivity setting which makes controller tuning easy. The research at the Chair of Flight Mechanics and Control focusses on developing computationally efficient ways of synthesizing LPV controllers with exploitable structure. A main emphasis lies on the hardware implementation of designed controllers including aspects such as anti windup.
Research Staff: Emily Burgin
Selected Publications:
- Theis J. and Pfifer H., "Observer-Based Synthesis of Linear Parameter-Varying Mixed
Sensitivity Controllers", International Journal of Robust and Nonlinear Control 30 (13), 5021-5039, 2020, 10.1002/rnc.5038. - Theis J., Sedlmair N., Thielecke F. and Pfifer H., "Observer-based LPV Control with
Anti-Windup Compensation: A Flight Control Example", IFAC World Congress, 2020.