Nonlinear Analysis And Fuzzy Fault-tolerant Control Of Complex Ecological System

Based on complex non-linear ecosystems, this paper use fuzzy mathematics to found the mathematical models of niche and its relative concepts of biological systems and study the non-linear dynamic behaviors, such as chaos, synchronization, and bifurcation of biological systems. Primarily, it forms the framework of mathematic theoretic studies. At the same time, by abstracting biological traits, such as salf-adaption, robustness and stadility, from the bio-systems, and melting biotechnology into control systems and optimization methods by mathematical methods, it proposes a type of fuzzy T-S control methods and fuzzy fault-tolerant control methods which has biological traits, and forming optimization methods based on biotechnology. At the end, this paper applies the control and optimization methods based on biological traits in studying the non-linear behaviors, prediction bio-cybernetics of ecosystems.At first, regarding niches and biological communities as basic elements, this paper studies the niche theory, marginal effects of ecosystems, the principle of fuzzy mathematical relation between niche and community, proposing similar prior choice competitive principle, the choice of niches between species and competitive and evolving principle, and verifying Guass competition theorem. Furthermore, since the niche model founded in this paper is the unification of the tree commonly used niche models, this makes it convenient to use the model practically.Using dynamic methods, it does nonlinear analysis to ecosystems, studying the chaotic phenomena of ecosystems, synchronous behaviors of species-competition systems and the fractals of bio-system, and giving a measure method of the bio-evolution chaotic degree. Second, this paper melts the traits the ecosystems have itself, such as self-adaptation, self-learn and self-organization, into genetic operation, and proposes a genetic operational dynamical improving method based on niche-technology, a supplement of the conventional motionless improving method, increasing the convergence ang stability of the genetic operation. And it uses the genetic operation based on niche-technology in the parameter identification of fuzzy systems and the self-generating of fuzzy regularity.At last, combining the fault-tolerant character and robustness in the biological evolution process of bio-systems with formal control methods, regarding niche as a rear parameter of fuzzy T-S system, this paper forms a fuzzy T-S system based on biological traits and proposes a fuzzy fault diagnosis method based on biological redundancy. It applies all these methods it gets in the control of chaotic systems, ecosystems and the intellect greenhouse and the fault-tolerant control of complex systems.