A new design of constrained controllers for linear systems. (English) Zbl 0553.93052
The synthesis of stabilizing saturated linear state feedback controllers is considered for both linear continuous and discrete time-invariant systems. The main idea is to stabilize the plant by a low gain linear state feedback first, then to synthesize another linear state feedback (based on a quadratic Lyapunov function) and to saturate the sum of the two controls. Sufficient conditions are found for stability of the closed-loop saturated system when the initial conditions are within a certain subset of the state space. Computer algorithms are presented for synthesis requiring interactive software for LQ design and simulation. An example of a submarine depth regulator is discussed.
Reviewer: S.Patarinski
MSC:
93D15 | Stabilization of systems by feedback |
93B50 | Synthesis problems |
93C05 | Linear systems in control theory |
93C99 | Model systems in control theory |
93C55 | Discrete-time control/observation systems |
93B40 | Computational methods in systems theory (MSC2010) |