A stabilizing control scheme for linear systems on controlled invariant sets

作者：Darup Moritz Schulze^*; Moennigmann Martin

来源：Systems & Control Letters, 2015, 79: 8-14.

DOI：10.1016/j.sysconle.2015.02.008

• Linear discrete-time systems
• Input and state constraints
• Asymptotic stability
• Control laws

We present a new stabilizing control scheme for linear discrete-time systems with input and state constraints. Essentially, we seek a controller that is able to steer all initial states within a controlled invariant set towards the origin without violating the constraints. The control law builds on a predictive control scheme. We show that a prediction horizon of n steps, where n denotes the dimension of the system, is sufficient to solve the described control task. The proposed controller is related to but different from established feedback laws associated with lambda-contractive sets. In fact, the new control scheme successfully stabilizes systems, where classical lambda-contractive control laws fail.

• 出版日期2015-5