Simple Adaptive Control without Passivity Assumptions and Experiments on Satellite Attitude Control DEMETER Benchmark

Abstract The paper gives a simple LMI procedure to design simple adaptive control laws for ‘almost stable’ systems. It relaxes existing ‘almost passive’ assumptions making simple adaptive control possible for all systems stabilizable by LTI controllers. The expected advantage of the adaptive control compared to the initial LTI control is to improve performances and robustness. The proposed results apply to multi-input multi-output systems and rely on LMI optimization. The theory is illustrated on a satellite attitude control DEMETER benchmark.