Semi-Markov jump linear systems with bi-boundary sojourn time: anti-modal-asynchrony control. (English) Zbl 1492.93208
A linear feedback control system is considered, wherein the coefficient matrices switch between different values or ‘modes’, according to a semi-Markov process whose sojourn times are bounded from above and below. The linear feedback control action exhibits a mode-dependent lag. Under these conditions, Liapunov methods are used to establish criteria for existence of an ‘anti-modal-asynchrony’ control that ensures mean square stability of the system. Two numerical examples are given, including one involving control of a vertical take-off and landing helicopter.
Reviewer: Vivek S. Borkar (Mumbai)
MSC:
| 93E20 | Optimal stochastic control |
| 93E15 | Stochastic stability in control theory |
| 93C05 | Linear systems in control theory |
Keywords:
semi-Markov jump linear systems; mean square stability; mode-dependent lag; ant-modal-asynchrony control; bi-boundary sojourn timeReferences:
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