Almost output regulation bumpless transfer control for switched linear systems

Finite‐time H∞ bumpless transfer control for switched systems: A state‐dependent switching approach

“…When the ith subsystem is activated, there easily follows ||K * x(t) − K i x(t)|| 2 < ||x(t)|| 2 with = √ 1 2 in Ω i , i ∈ . From the above analysis, we can see that (9)(10)(11) of Theorem 1 will be satisfied if (30)(31)(32)(33) hold. Therefore, the finite-time H ∞ bumpless transfer control problem is solvable for switched system (1) under switching law (8) and controller (3).…”

“…Remark 7. ij can be obtained by solving inequality conditions (30)(31)(32)(33). However, the solving condition in Theorem 2 is the nonconvex, which prevents application of standard LMI solution packages.…”

“…The disturbance attenuation level is = 1.6193 from disturbance input to controlled output, and the bumpless transfer index is = 19.2994 under switching law (7). Solving (30)(31)(32) in Theorem 2, we havē…”

“…It is noted that the time‐driven switching laws may be ineffective when the switching time and the activated sequences are unavailable beforehand or when some subsystems are unstable . The state‐dependent switching laws can adapt well to this situation …”

“…29 The state-dependent switching laws can adapt well to this situation. 30,31 In this paper, we focus upon the finite-time H ∞ bumpless transfer control problem for switched systems. An effective control approach will be proposed by using a multiple Lyapunov function method to achieve satisfactory transient performance and external disturbance attenuation performance while reducing the control bumps at the switching points.…”